{"id":795950,"date":"2024-06-22T13:48:33","date_gmt":"2024-06-22T08:18:33","guid":{"rendered":"https:\/\/leverageedu.com\/discover\/?p=795950"},"modified":"2024-06-22T13:48:33","modified_gmt":"2024-06-22T08:18:33","slug":"ncert-class-7-maths-chapter-7-comparing-quantities","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-7-comparing-quantities\/","title":{"rendered":"NCERT Class 7 Maths Chapter 7 &#8216;Comparing Quantities&#8217;: Notes and Solutions (Free PDF)"},"content":{"rendered":"\n<p>NCERT Class 7 Maths Chapter 7, Comparing Quantities teaches the concept of percentages. The chapter emphasizes the use of percentages in carrying out comparisons of different kinds. In the later part of this chapter, students will also learn the conversion of percentages into fractions and decimals, the concepts of profit and loss, cost price, and selling price. Lastly, the chapter concludes with the important lessons of the calculation of Simple Interest on the sum borrowed. Let us now have a look at the NCERT Class 7 Maths Chapter 7 Comparing Quantities Notes and Solutions (PDF).\u00a0\u00a0<\/p>\n\n\n\n<p class=\"has-text-align-center has-background has-medium-font-size\" style=\"background:linear-gradient(135deg,rgb(255,245,203) 0%,rgb(182,227,212) 100%,rgb(51,167,181) 100%)\"><a href=\"https:\/\/drive.google.com\/file\/d\/1lSqOPHt0-TPkD7KHzot63-nD3hFvbwSR\/view?usp=sharing\"><strong>Download NCERT Class 7 Maths Chapter 7 \u2013 Comparing Quantities Notes and Solutions PDF<\/strong><\/a><\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-b47e29169d55207c52d26d02aa1e110a\"><strong>Explore all the Chapters of Class Mathematics:-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-pale-ocean-gradient-background has-background\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-1-integers-notes-and-solutions-pdf\/\"><strong>Chapter 1<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-2-fractions-notes-and-solutions-pdf\/\"><strong>Chapter 2<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-3-data-handling-notes\/\"><strong>Chapter 3<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-4-simple-equations-notes-and-solutions-pdf\/\"><strong>Chapter 4<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-5-lines-and-angles-notes-and-solutions-pdf\/\"><strong>Chapter 5<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/ncert-class-7-maths-chapter-6-the-triangle-and-its-properties\/\"><strong>Chapter 6<\/strong><\/a><\/td><td>Chapter 7<\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-8-rational-numbers-notes-and-solutions-pdf\/\"><strong>Chapter 8<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-9-perimeter-and-area-pdf\/\"><strong>Chapter 9<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-10-algebraic-expressions\/\"><strong>Chapter 10<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-11-exponents-and-powers\/\"><strong>Chapter 11<\/strong><\/a><\/td><td><strong>Chapter 12<\/strong><\/td><td><strong>Chapter 13<\/strong><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-ncert-class-7-maths-chapter-7-notes-pdf-available\">NCERT Class 7 Maths Chapter 7 Notes \u2013 PDF Available<\/h2>\n\n\n\n<p>Check the topic-wise notes for NCERT Maths Class 7 \u2013 Chapter 7 below. You can also download the PDF of the notes and take a printout to study later when you need quick revision before going to the e\ud835\udc65am hall.\u00a0<\/p>\n\n\n\n<p class=\"has-text-align-center has-background has-medium-font-size\" style=\"background-color:#f7fa75\"><strong>Top 10 Short Maths Tricks for Complex Problems<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-1-what-are-percentages\">Topic 1: What are Percentages?<\/h3>\n\n\n\n<p>Percentages are numerators of fractions with denominator 100 and are used in comparing results.<\/p>\n\n\n\n<p class=\"has-text-align-center has-background has-medium-font-size\" style=\"background-color:#f7fa75\"><a href=\"https:\/\/leverageedu.com\/blog\/maths-books-for-competitive-exams\/\"><strong>Maths Books for Competitive E\ud835\udc65ams<\/strong><\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-2-percentage-when-denominator-is-not-100-converting-fractional-numbers-to-percentage\">Topic 2: Percentage When Denominator is not 100 (Converting Fractional Numbers to Percentage)<\/h3>\n\n\n\n<p>How do we calculate the percentage of an item if the total number of items does not add up to 100? In such cases, we need to convert the fraction to an equivalent fraction with a denominator of 100.\u00a0<\/p>\n\n\n\n<p>For example, let us see the conversion of fraction 8\/20 into percentage by two methods, you can use any of these methods in your calculations.<\/p>\n\n\n\n<p><strong>Method 1:\u00a0<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-us.googleusercontent.com\/qFE9ebvW093kaHibM-zt7QtIOLeIk1hTdfI9-OsT9WhJjEDUJCiNfNElEbt5AUSs_Z9--gkj5yGeUEeTaM4VX9-ueZpXkmgneBRlAyS_UOcCx4C8ejJYGbKcCQaADbXbdULf4fdj1DbNR27ObRaoxZQ\" ><\/figure>\n\n\n\n<p><strong>Method 2:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-us.googleusercontent.com\/2wby9dpEgZAG-RCnMNWyNohOrcOncsx5Jn8EaB6Z47oNv-eyC_dtDnNx8mJWIKkKITrFDFWDHAR20rUbJH2byKLRWoNxbNAMsnnxeqJbF54FFODjr2eVxWSR13QIG_3Ew8JXlbEIv-lLyEI2BKEP9gI\" ><\/figure>\n\n\n\n<p>Both these methods are simple and effective in determining percentages from fractions.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-3-prices-related-to-an-item-or-buying-and-selling\">Topic 3: Prices Related to an Item or Buying and Selling<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Cost Price:<\/strong> The buying price of any item is known as its cost price (CP).<\/li>\n\n\n\n<li><strong>Selling Price:<\/strong> The price at which you sell is known as the selling price (SP).<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-4-profit-or-loss\">Topic 4: Profit or Loss<\/h3>\n\n\n\n<p>The profit or loss on a product is calculated only on its cost price.<\/p>\n\n\n\n<p class=\"has-text-align-center has-background has-medium-font-size\" style=\"background-color:#f7fa75\"><strong>Maths Formulas for Class 10<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-5-charge-given-on-borrowed-money-or-simple-interest\">Topic 5: Charge Given on Borrowed Money or Simple Interest<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Sum or Principal: <\/strong>The money you borrow is known as the sum borrowed or principal.<\/li>\n\n\n\n<li><strong>Interest:<\/strong> The borrowed money would be used by the borrower for some time before it is returned. To keep this money for some time, the borrower has to pay some extra money to the bank. This is known as Interest.<\/li>\n\n\n\n<li><strong>Rate of Interest: <\/strong>Interest is generally given in percent for the period of the desired number of years. This percentage is referred to as the Rate of Interest.\u00a0<\/li>\n\n\n\n<li><strong>Amount: <\/strong>The amount you have to pay at the end of the year can be calculated by adding the sum borrowed and the interest.\u00a0<\/li>\n<\/ol>\n\n\n\n<p>\u2234 Amount = Principal + Interest<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"5\">\n<li><strong>Simple Interest: <\/strong>The way of calculating interest where the principal is not changed is known as simple interest.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-6-calculation-of-interest-for-1-year\">Topic 6: Calculation of Interest for 1 Year<\/h3>\n\n\n\n<p>The amount of interest (I) or Simple Interest to be paid for 1 year on a borrowed sum of \u20b9 P at an interest of R% can be calculated by the following formula.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"Calculation of Interest for 1 Year\"  title=\"Calculation of Interest for 1 Year\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-us.googleusercontent.com\/LWEWn6sa6QIHYOmHe4hvxx-0W2wJTjD6Lh3OJI7PsIllc7I4pRjzVkS2umjxf8oKNrWU4wCBQrOunFMFRlIs47MNGWWzwOq7g7Wy-GQRkehcpBgyJlZsUKdNw3lRlCIJeO5NNvIn-PJbQp5EosH0DwI\" ><\/figure>\n\n\n\n<p>Where I = Interest (extra money than the borrowed sum) to be paid yearly on the borrowed sum<\/p>\n\n\n\n<p>P = borrowed sum<\/p>\n\n\n\n<p>R = Rate of Interest<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-6-calculation-of-interest-for-multiple-years\">Topic 6: Calculation of Interest for Multiple Years<\/h3>\n\n\n\n<p>If the amount is borrowed for more than one year, the interest is calculated for the period the money is kept for.<\/p>\n\n\n\n<p>The amount of interest (I) or Simple Interest to be paid when the sum borrowed (\u20b9 P) at an interest of R% is kept for more than 1 year can be calculated by the following formula.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"Calculation of Interest for Multiple Years\"  title=\"Calculation of Interest for Multiple Years\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-us.googleusercontent.com\/m30OSMJaiCQcv_DDk49bDTGWQLcOI2c-QqsRsVagWvWsjebz64t27sZAd4FNgO7CmLUiHUG8h27zDRei4DWcFNDarIWQ6Q81X4RTCdxHjQK9HE4eJqThEdLyfHHL1nuBpcry_p07NOPtOj9HUI8olyk\" ><\/figure>\n\n\n\n<p>Where I = Interest (extra money than the borrowed sum) to be paid yearly on the borrowed sum<\/p>\n\n\n\n<p>P = borrowed sum<\/p>\n\n\n\n<p>R = Rate of Interest<\/p>\n\n\n\n<p>T = The number of years for which the borrowed sum is kept by the borrower<\/p>\n\n\n\n<p>\u2234 Amount to be paid after T years can be calculated by:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-us.googleusercontent.com\/1r4cRqOIfS_VVZq8KkxLxtoB-bY71H1Ca76x3YYwhlSIJZfDjSj7IHQ5IAq9ea4MGp-fej_xKrCkvKpoekFENnuDgl6mkeY1TWCejTU0ilReDpbFeDv6Knao_DwnUQSpWGOhgexoR1n-ZvFynkd8g48\" ><\/figure>\n\n\n\n<p class=\"has-text-align-center has-background has-medium-font-size\" style=\"background-color:#f7fa75\"><a href=\"https:\/\/leverageedu.com\/blog\/maths-for-competitive-exams\/\"><strong>Maths for Competitive E\ud835\udc65ams<\/strong><\/a><\/p>\n\n\n\n<p class=\"has-text-align-center has-background has-medium-font-size\" style=\"background:linear-gradient(135deg,rgb(255,245,203) 0%,rgb(182,227,212) 100%,rgb(51,167,181) 100%)\"><a href=\"https:\/\/drive.google.com\/file\/d\/1lSqOPHt0-TPkD7KHzot63-nD3hFvbwSR\/view?usp=sharing\"><strong>Download NCERT Class 7 Maths Chapter 7 \u2013 Comparing Quantities Notes and Solutions PDF<\/strong><\/a><\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-b47e29169d55207c52d26d02aa1e110a\"><strong>Explore all the Chapters of Class Mathematics:-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-pale-ocean-gradient-background has-background\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-1-integers-notes-and-solutions-pdf\/\"><strong>Chapter 1<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-2-fractions-notes-and-solutions-pdf\/\"><strong>Chapter 2<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-3-data-handling-notes\/\"><strong>Chapter 3<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-4-simple-equations-notes-and-solutions-pdf\/\"><strong>Chapter 4<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-5-lines-and-angles-notes-and-solutions-pdf\/\"><strong>Chapter 5<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/ncert-class-7-maths-chapter-6-the-triangle-and-its-properties\/\"><strong>Chapter 6<\/strong><\/a><\/td><td>Chapter 7<\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-8-rational-numbers-notes-and-solutions-pdf\/\"><strong>Chapter 8<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-9-perimeter-and-area-pdf\/\"><strong>Chapter 9<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-10-algebraic-expressions\/\"><strong>Chapter 10<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-11-exponents-and-powers\/\"><strong>Chapter 11<\/strong><\/a><\/td><td><strong>Chapter 12<\/strong><\/td><td><strong>Chapter 13<\/strong><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-ncert-solutions-of-class-7-mathematics-chapter-7-comparing-quantities-pdf-available\">NCERT Solutions of Class 7 Mathematics Chapter 7: Comparing Quantities \u2013 PDF Available!\u00a0<\/h2>\n\n\n\n<p>Below we have provided solutions for NCERT Class 7 Maths Chapter 7, Comparing Quantities. Go through for answers to some important questions.\u00a0<\/p>\n\n\n\n<p class=\"has-text-align-center has-background has-medium-font-size\" style=\"background-color:#f7fa75\"><a href=\"https:\/\/leverageedu.com\/blog\/career-options-in-commerce-without-maths\/\"><strong>Courses and Career Options in Commerce Without Maths in 2023<\/strong><\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-e\ud835\udc65ercise-7-1-solutions\">E\ud835\udc65ercise 7.1 Solutions<\/h3>\n\n\n\n<p><strong>Q 1. Convert the given fractional numbers to per cents.<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u215b\u00a0<\/strong><\/li>\n\n\n\n<li><strong>2\/7\u00a0<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solutions.<\/strong> The answers are given below.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>To calculate the percentage of the given fraction, let us multiply the numerator and denominator by 100.<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-us.googleusercontent.com\/DyJylCE1x2Jt6tL7QfYEoMOGPwkSc6ZLWNPzeLnZpIQ1EphX8AikyNsJyTgo-z1uEj57uRHkg7jZO10kgtSOf_ZlCkTjE0cSXlr87q5rPTFzGfi1Bz466118kzRZgSm8BnhJxtEfseWzTpZX4yUApYE\" ><\/figure>\n\n\n\n<p>\u2234 \u215b in percentage is 12.5%.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li>To calculate the percentage of the given fraction, let us multiply the numerator and denominator by 100.<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-us.googleusercontent.com\/4gspstEgJRBeKOiDNemEAFCk8eWs8qtmR5qmMshpf1L3vok8OTAZkl4ZVgnVF2XKUivAIZ5l_bIKVOiad-azOGMYaX5UKdo83pdUmcWc20pI4r0EHrP_SCNeF3mjSC_D-iRhM7qA1TmQqA6Q-ctTLI0\" ><\/figure>\n\n\n\n<p>\u2234 \u215b in percentage is 28(4\/7)% or <img  loading=\"lazy\"  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  width=\"45\"  height=\"37\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-us.googleusercontent.com\/Ey3ikioO2ZfSUV5nUdg-J3LCcc-caVhfoJgZXxZ0mok69ja-fIkiGEfRIUsE8KjOoA6TmJMa944hhfVGfJqvEGlW78IFwoCu3FzMOUMj8RvDFhiF3DhTvjqL19Pr8bQXFgWWkw92p1ct2NHZE2vI2cs\" >.<\/p>\n\n\n\n<p class=\"has-text-align-center has-background has-medium-font-size\" style=\"background-color:#f7fa75\"><strong>SAT Maths Subject Test<\/strong><\/p>\n\n\n\n<p><strong>Q 2. Find:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>15% of 250\u00a0<\/strong><\/li>\n\n\n\n<li><strong>1% of 1 hour\u00a0<\/strong><\/li>\n\n\n\n<li><strong>75% of 1 kg<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solutions.<\/strong> In class 6, we have understood that \u201cof\u201d symbolizes the multiplication function (or parts of). The answers are given below.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>We can write the given expression as:<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-us.googleusercontent.com\/HgLAsqV0DD7yRdP9uI3eTL9pCHpZHGux0EkrXopZXm16qm6hgcLdwPPa2TtTWVHLTFmqk5GOod9KSPUHsTWegYCIORJdPZmEnWMsiGzd5D_jxGijzRm_12F1V2m5Z2gkobkiBdsRI-IwoYOuS6halXY\" ><\/figure>\n\n\n\n<p>\u2234 15% of 250 is 37.5.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li>We know that 1 hour = 60 minutes and 1 minute = 60 seconds<\/li>\n<\/ol>\n\n\n\n<p>Thus, 1 minute = 60 \u00d7 60 seconds = 3600 seconds<\/p>\n\n\n\n<p>Let us now determine 1% of 1 hour or 3600 seconds below.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-us.googleusercontent.com\/mQ5ij0W-Nv2pfL_WHM5x_hfK-4e64wemWDOH3XtmquzZvI8-7iny555uxvC3cFsdWTJOCz0Ku8624As7bjgmhpv5c0Gglfdb0hArsNEpo1SYyBUt-nJmOqW21XYul9Z1N0Er5X_IpHCXWEwGyZYLT8c\" ><\/figure>\n\n\n\n<p>\u2234 1% of 1 hour is 36 seconds.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"3\">\n<li>We know that 1 kg = 1000 g.<\/li>\n<\/ol>\n\n\n\n<p>So, we can write the given expression as:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-us.googleusercontent.com\/FSYW36Rxoc2YTMFYno4WOFoXEHjR6z7E1fmxV4_SJKTND6XqfTbMo39txGToni5cDxj7vuGk6GwnbuJ2uI7qDGAcaR-KnhYej9txr0IqJIjH6jUQDqHncOzLJn3c6pCuMGQw0hvYDJlIx-w-1-wue9s\" ><\/figure>\n\n\n\n<p>\u2234 75% of 1 kg is 750 g.<\/p>\n\n\n\n<p class=\"has-text-align-center has-background has-medium-font-size\" style=\"background-color:#f7fa75\"><strong>NCERT Class 8 Maths Syllabus<\/strong><\/p>\n\n\n\n<p><strong>Q 3. Find the whole quantity if<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>5% of it is 600.\u00a0<\/strong><\/li>\n\n\n\n<li><strong>40% of it is 500 km.<\/strong><\/li>\n\n\n\n<li><strong>70% of it is 14 minutes<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solutions. <\/strong>The whole quantities of the given expressions are deduced below.\u00a0<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Let us assume the whole quantity to be \ud835\udc65. So, an equation can be formed as:\u00a0<\/li>\n<\/ol>\n\n\n\n<p>\u21d2 5% of \ud835\udc65 = 600\u00a0<\/p>\n\n\n\n<p>\u21d2 5\/100 \u00d7 \ud835\udc65 = 600\u00a0<\/p>\n\n\n\n<p>\u21d2 \ud835\udc65 = 600 \u00d7 100\/5 = 12000<\/p>\n\n\n\n<p>\u21d2 \ud835\udc65 = 12000<\/p>\n\n\n\n<p>\u2234 The whole quantity is 12,000.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li>Let us assume the whole quantity to be \ud835\udc65. So, an equation can be formed as:\u00a0<\/li>\n<\/ol>\n\n\n\n<p>\u21d2 40% of \ud835\udc65 = 500 km\u00a0<\/p>\n\n\n\n<p>\u21d2 40\/100 \u00d7 \ud835\udc65 = 500\u00a0<\/p>\n\n\n\n<p>\u21d2 \ud835\udc65 = 500 \u00d7 100\/40 = 1250<\/p>\n\n\n\n<p>\u21d2 \ud835\udc65 = 1250<\/p>\n\n\n\n<p>\u2234 The whole quantity is 1250 km.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"3\">\n<li>Let us assume the whole quantity to be \ud835\udc65. So, an equation can be formed as:\u00a0<\/li>\n<\/ol>\n\n\n\n<p>\u21d2 70% of \ud835\udc65 = 14 min\u00a0<\/p>\n\n\n\n<p>\u21d2 70\/100 \u00d7 \ud835\udc65 = 14\u00a0<\/p>\n\n\n\n<p>\u21d2 \ud835\udc65 = 14 \u00d7 100\/70 = 20<\/p>\n\n\n\n<p>\u21d2 \ud835\udc65 = 20<\/p>\n\n\n\n<p>\u2234 The whole quantity is 20 minutes.<\/p>\n\n\n\n<p class=\"has-text-align-center has-background has-medium-font-size\" style=\"background-color:#f7fa75\"><a href=\"https:\/\/leverageedu.com\/blog\/career-after-bsc-maths\/\"><strong>Career after BSc Maths<\/strong><\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-e\ud835\udc65ercise-7-2-solutions\">E\ud835\udc65ercise 7.2 Solutions<\/h3>\n\n\n\n<p><strong>Q 1. Amina buys a book for \u20b9 275 and sells it at a loss of 15%. How much does she sell it for?<\/strong><\/p>\n\n\n\n<p><strong>Solutions. <\/strong>The cost price (CP) of the book is \u20b9 275 and Amina sold the book at a loss of 15%. Therefore, the selling price (SP) of the book can be calculated as follows:<\/p>\n\n\n\n<p>SP = CP \u2013 (15% of CP)<\/p>\n\n\n\n<p>Now, 15% of CP = 15\/100 \u00d7 275 = \u20b9 41.25<\/p>\n\n\n\n<p>\u2234 SP = \u20b9 275 \u2013 \u20b9 41.25 = \u20b9 233.75 = \u20b9 234<\/p>\n\n\n\n<p>Hence, Amina sold the book for \u20b9 234 (approximately).<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Comparing Quantities - Chapter 7 - Introduction - Class 7\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/7S22R6xWyC8?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><figcaption class=\"wp-element-caption\">Source: Mathematics Class VI<\/figcaption><\/figure>\n\n\n\n<p><strong>Q 2. What rate gives \u20b9 280 as interest on a sum of \u20b9 56,000 in 2 years?<\/strong><\/p>\n\n\n\n<p><strong>Solutions: <\/strong>From the question, we know that:<\/p>\n\n\n\n<p>I = \u20b9 280<\/p>\n\n\n\n<p>P = \u20b9 56,000<\/p>\n\n\n\n<p>T = 2 years<\/p>\n\n\n\n<p>We have to determine \u201cR\u201d for the given problem. We know that simple interest for multiple years is calculated as:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"Calculation of Interest for Multiple Years\"  title=\"Calculation of Interest for Multiple Years\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-us.googleusercontent.com\/m30OSMJaiCQcv_DDk49bDTGWQLcOI2c-QqsRsVagWvWsjebz64t27sZAd4FNgO7CmLUiHUG8h27zDRei4DWcFNDarIWQ6Q81X4RTCdxHjQK9HE4eJqThEdLyfHHL1nuBpcry_p07NOPtOj9HUI8olyk\" ><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-us.googleusercontent.com\/Lu9kRhSf7lo4VwoA0QhA4at4Pd5s_J0FDeeI9_IrD4WIjZmFx0ib4JDwp82fsD68wqVy1q0TQkhYSWx_DlHHqDnLj1lpTpxPnGefl4xrfjATl8NR1aS3GwJSuCePzxCFLexeWpJkiNKMhVPTc_n5xb0\" ><\/figure>\n\n\n\n<p>\u2234 The rate of interest for 2 years is 0.25%.\u00a0<\/p>\n\n\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-350786ce0b780dcc932949c3bd7b9f6b\"><strong>Explore Notes of All subjects of CBSE Class 7:-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-pale-ocean-gradient-background has-background\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-notes-class-7-english\/\"><strong>CBSE NCERT Notes Class 7 English<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-notes-class-7-history\/\"><strong>CBSE NCERT Notes Class 7 History<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-notes-class-6-geography\/\"><strong>CBSE NCERT Notes Class 7 Geography<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-notes-class-7-civics\/\"><strong>CBSE NCERT Notes Class 7 Civics<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/cbse-ncert-maths-class-7-solutions-and-answers\/\"><strong>CBSE NCERT Notes Class 7 Mathematics<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-notes-class-7-science\/\"><strong>CBSE NCERT Notes Class 7 Science<\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\">FAQs<\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1699338491922\"><strong class=\"schema-faq-question\">Q.1. What is simple interest (SI)?<\/strong> <p class=\"schema-faq-answer\">Ans: The way of calculating interest where the principal or sum is not changed is known as simple interest.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1699338511482\"><strong class=\"schema-faq-question\">Q.2. What is a rate of interest?<\/strong> <p class=\"schema-faq-answer\">Ans: Interest is generally given in percent for the period of the desired number of years. This percentage is referred to as the Rate of Interest.\u00a0<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1699338530263\"><strong class=\"schema-faq-question\">Q.3. What is the difference between the cost price (CP) and the selling price (SP)?<\/strong> <p class=\"schema-faq-answer\">Ans: The buying price of any item is known as its cost price (CP). Whereas, the price at which you sell it is known as the selling price (SP).\u00a0<\/p> <\/div> <\/div>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><strong>Check out more interesting blogs below.\u00a0<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\" style=\"font-size:18px\"><table class=\"has-background has-fixed-layout\" style=\"background:linear-gradient(135deg,rgb(255,245,203) 0%,rgb(182,227,212) 100%,rgb(51,167,181) 100%)\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-maths-notes\/\"><strong>Maths Class 6 Notes and Solutions PDF<\/strong><\/a>\u00a0<\/td><td><strong>CBSE Class 9 Maths Syllabus<\/strong><\/td><\/tr><tr><td><strong>Applied Mathematics and Computation<\/strong><\/td><td><a href=\"https:\/\/leverageedu.com\/learn\/business-mathematics\/\"><strong>Business Mathematics<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/blog\/multiplication-and-division-word-problems\/\"><strong>Multiplication and Division Word Problems<\/strong><\/a><\/td><td><strong>BSc Mathematics: Course, Universities and Scope<\/strong><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/blog\/bodmas-questions\/\"><strong>BODMAS Questions<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/blog\/commerce-with-maths\/\"><strong>Top 20 Career Options in Commerce with Maths Stream<\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>This was all about NCERT Class 7 Maths Chapter 7, Comparing Quantities in which we studied how to draw comparisons using percentages. Download the NCERT Class 7 Maths Chapter 7 Notes and Solutions PDF to ace your e\ud835\udc65am preparations. Follow the <a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/cbse-ncert-maths-class-7-solutions-and-answers\/\"><strong>CBSE Class 7 Maths Solutions and Notes<\/strong><\/a> for more such chapter notes and important questions and answers for preparation for CBSE Class 7 Maths.\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"NCERT Class 7 Maths Chapter 7, Comparing Quantities teaches the concept of percentages. The chapter emphasizes the use&hellip;\n","protected":false},"author":70,"featured_media":795961,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"editor_notices":[],"footnotes":""},"categories":[477,389],"tags":[],"class_list":{"0":"post-795950","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-ncert-study-material","8":"category-school-education"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.5 (Yoast SEO v27.5) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Class 7 Maths Chapter 7 &#039;Comparing Quantities&#039;: Notes and Solutions (Free PDF) | Leverage Edu Discover<\/title>\n<meta name=\"description\" content=\"NCERT Class 7 Maths Chapter 7 is all about Comparing Quantities teaches the concept of percentages. 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What is simple interest (SI)?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Ans: The way of calculating interest where the principal or sum is not changed is known as simple interest.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-7-comparing-quantities\/#faq-question-1699338511482","position":2,"url":"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-7-comparing-quantities\/#faq-question-1699338511482","name":"Q.2. What is a rate of interest?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Ans: Interest is generally given in percent for the period of the desired number of years. 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