{"id":30491,"date":"2021-12-30T18:05:11","date_gmt":"2021-12-30T12:35:11","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=30491"},"modified":"2025-06-20T13:11:46","modified_gmt":"2025-06-20T07:41:46","slug":"ncert-solutions-for-class-8-maths-chapter-8-comparing-quantities","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-8\/maths\/chapter-8-comparing-quantities\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities"},"content":{"rendered":"<p><span data-contrast=\"auto\">Subject specialists have designed NCERT solutions for Maths Class 8 Chapter 8 which includes thorough solutions for reference. These\u202fsolutions  are updated according to the latest CBSE syllabus for 2012-22 and are provided in easy language for understanding. Tips and tricks are also provided.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">These solutions are provided so a student can clear his doubts and get help with deep understanding of the concept. Also you can refer them to make the chapter notes and revisions notes. PDF of this can also be downloaded from website.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> \n\t\t<div class=\"download-pdf-container\">\n\t\t\t<span class=\"title\">Do you need help with your Homework? 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underline;\">terms and conditions<\/a> and <a target=\"_blank\" href=\"https:\/\/infinitylearn.com\/privacy\" style=\"text-decoration: underline;\">privacy policy<\/a>.<\/p>\n<p><input type=\"button\" style=\"cursor:pointer;width:auto;\" class=\"il_otp_submit\" value=\"Get OTP\" onclick=\"sendCF7OTP(this, otp_phone.value, user_name.value)\"><\/p>\n<div class=\"form-submit-btn-div\" style=\"display:none;\">\n<input type=\"submit\" value=\"Download PDF\" class=\"wpcf7-form-control has-spinner wpcf7-submit download-pdf-submit\" \/>\n<\/div>\n<\/div>\n<div class=\"wpcf7-response-output\" aria-hidden=\"true\"><\/div><\/form><\/div>\n\t\t\t\t\t<span class=\"pdf-link hidden\" data-pdf=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/securepdfs\/2022\/05\/8.-Comparing-Quantities-2.pdf\"><\/span>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t<div class=\"bg-overlay\"><\/div>\n\t\t<\/div>\n\t\t<a href=\"\/surge\/?pdfemb-serveurl=https%3A%2F%2Finfinitylearn.com%2Fsurge%2Fwp-content%2Fuploads%2Fsecurepdfs%2F2022%2F05%2F8.-Comparing-Quantities-2.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-mobile-width=\"0\"  data-scrollbar=\"both\" data-download=\"off\" data-tracking=\"on\" data-newwindow=\"on\" data-pagetextbox=\"off\" data-scrolltotop=\"on\" data-startzoom=\"100\" data-startfpzoom=\"100\" data-download-nonce=\"85874e3dc2\" data-disablerightclick=\"on\" data-toolbar=\"top\" data-toolbar-fixed=\"on\">8. Comparing Quantities<br\/><\/a><\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><b><span data-contrast=\"auto\">NCERT Solutions for Class 8 Maths Chapter 8- Comparing Quantities Summary<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">This chapter covers the concept of ratios and percentages, along with other main topics and concepts.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The major concepts covered in this chapter include:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">8.1 Recalling Ratios and Percentages<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">8.2 Finding the Increase or Decrease Per Cent<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">8.3 Finding Discounts<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">8.3.1 Estimation in percentages<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">8.4 Prices Related to Buying and Selling (Profit and Loss)<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">8.4.1 Finding cost price\/selling price, profit % loss %<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">8.5 Sales Tax\/ Value Added Tax<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">8.6 Compound Interest<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">8.7 Deducing a Formula for Compound Interest<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">8.8 Rate Compounded Annually or Half Yearly (Semi-Annually)<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">8.9 Applications of Compound Interest Formula<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p aria-level=\"3\"><b><span data-contrast=\"auto\">Access exercise-wise NCERT Solutions for Class 8 Maths Chapter 8 from the below links:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:40,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">            6 Questions (1 Long Answer Questions, 5 Short Answer Questions)<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">           10 Questions (4 Long Answer Questions, 6 Short Answer Questions)<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">           12 Questions (6 Long Answer Questions, 6 Short Answer Questions)<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p aria-level=\"3\"><b><span data-contrast=\"auto\">NCERT Solutions for Class 8 Maths Chapter 8- Comparing Quantities<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:40,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">This chapter is important one to learn the basic knowledge of tax, interest, profit, loss and much more are coming in this chapter. The concepts are:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<ol>\n<li data-leveltext=\"%1.\" data-font=\"Times New Roman\" data-listid=\"3\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">Discount is a reduction given on marked price. Discount = Marked Price \u2013 Sale Price.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<\/ol>\n<ol>\n<li data-leveltext=\"%1.\" data-font=\"Times New Roman\" data-listid=\"3\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">Discount can be calculated when the discount percentage is given. Discount = Discount % of the Marked Price<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<\/ol>\n<ol>\n<li data-leveltext=\"%1.\" data-font=\"Times New Roman\" data-listid=\"3\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span data-contrast=\"auto\">Additional expenses made after buying an article are included in the cost price and are known as overhead expenses. CP = Buying price + Overhead expenses<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<\/ol>\n<ol>\n<li data-leveltext=\"%1.\" data-font=\"Times New Roman\" data-listid=\"3\" aria-setsize=\"-1\" data-aria-posinset=\"4\" data-aria-level=\"1\"><span data-contrast=\"auto\">Sales tax is charged on the sale of an item by the government and is added to the Bill Amount. Sales tax = Tax% of Bill Amount.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<\/ol>\n<ol>\n<li data-leveltext=\"%1.\" data-font=\"Times New Roman\" data-listid=\"3\" aria-setsize=\"-1\" data-aria-posinset=\"5\" data-aria-level=\"1\"><span data-contrast=\"auto\">GST stands for Goods and Services Tax and is levied on the supply of goods or services or both.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<\/ol>\n<ol>\n<li data-leveltext=\"%1.\" data-font=\"Times New Roman\" data-listid=\"3\" aria-setsize=\"-1\" data-aria-posinset=\"6\" data-aria-level=\"1\"><span data-contrast=\"auto\">Compound interest is the interest calculated on the previous year\u2019s amount (A = P + I)<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<\/ol>\n<p aria-level=\"3\"><b><span data-contrast=\"auto\">Key Features of NCERT Solutions for Class 8 Maths Chapter 8- Comparing Quantities<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:40,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">This chapter enables us to understand:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"4\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">Slightly advanced problems involving applications on percentages, profit &amp; loss, overhead expenses, Discount, tax.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"4\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">Difference between simple and compound interest (compounded yearly up to 3 years or half-yearly up to 3 steps only), arriving at the formula for compound interest through patterns and using it for simple problems.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"4\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span data-contrast=\"auto\">Direct variation \u2013 Simple and direct word problems<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"4\" aria-setsize=\"-1\" data-aria-posinset=\"4\" data-aria-level=\"1\"><span data-contrast=\"auto\">Inverse variation \u2013 Simple and direct word problems<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"4\" aria-setsize=\"-1\" data-aria-posinset=\"5\" data-aria-level=\"1\"><span data-contrast=\"auto\">Time &amp; work problems\u2013 Simple and direct word problems<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<\/ul>\n<p aria-level=\"2\"><b><span data-contrast=\"auto\">Frequently Asked Questions on NCERT Solutions for Class 8 Maths Chapter 8<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p aria-level=\"2\"><b><span data-contrast=\"auto\">List out the concepts present in these NCERT Solutions?<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The NCERT Solutions of this chapter covers concept of ratios and percentages, along with other main topics and concepts.<\/span><br \/>\n<span data-contrast=\"auto\">The major concepts are:<\/span><br \/>\n<span data-contrast=\"auto\">8.1 Recalling Ratios and Percentages<\/span><br \/>\n<span data-contrast=\"auto\">8.2 Finding the Increase or Decrease Per Cent<\/span><br \/>\n<span data-contrast=\"auto\">8.3 Finding Discounts<\/span><br \/>\n<span data-contrast=\"auto\">8.3.1 Estimation in percentages<\/span><br \/>\n<span data-contrast=\"auto\">8.4 Prices Related to Buying and Selling (Profit and Loss)<\/span><br \/>\n<span data-contrast=\"auto\">8.4.1 Finding cost price\/selling price, profit % loss %<\/span><br \/>\n<span data-contrast=\"auto\">8.5 Sales Tax\/ Value Added Tax<\/span><br \/>\n<span data-contrast=\"auto\">8.6 Compound Interest<\/span><br \/>\n<span data-contrast=\"auto\">8.7 Deducing a Formula for Compound Interest<\/span><br \/>\n<span data-contrast=\"auto\">8.8 Rate Compounded Annually or Half Yearly (Semi Annually)<\/span><br \/>\n<span data-contrast=\"auto\">8.9 Applications of Compound Interest Formula<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Is it enough NCERT Solutions for Class 8 Maths Chapter 8 for Class 8 Exams?<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Yes, these NCERT Solutions deals with solutions for all questions given in NCERT Textbook Maths for Class 8. The most of the questions coming in the exams are from these exercises. By studying these concepts, you can achieve good grades.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p aria-level=\"2\"><b><span data-contrast=\"auto\">Is INFINITE LEARN website providing answers for NCERT Solutions of this Chapter?<\/span><\/b><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Yes, you can easily download the PDF of this chapter. These solutions are designed by expert faculty at INFINITE LEARN in a unique way. Also, they comes with PDF of solutions of all the classes. Those who aim good marks have to solve these solutions<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subject specialists have designed NCERT solutions for Maths Class 8 Chapter 8 which includes thorough solutions for reference. These\u202fsolutions are [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities","custom_permalink":"study-materials\/ncert-solutions\/class-8\/maths\/chapter-8-comparing-quantities\/"},"categories":[19,75],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-8\/maths\/chapter-8-comparing-quantities\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities - 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