{"id":230,"date":"2022-04-13T04:33:11","date_gmt":"2022-04-13T04:33:11","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=230"},"modified":"2025-12-19T06:00:04","modified_gmt":"2025-12-19T06:00:04","slug":"k-5-find-the-percent-discount-and-mark-up","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/k-5-find-the-percent-discount-and-mark-up\/","title":{"rendered":"K.5 Find the percent: discount and mark-up"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-large-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Find the percent: discount and mark-up<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-071aec683c99d954104ee0068dfb63f9\" style=\"color:#74008b\">Key notes:<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 Basic Terms<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Marked Price (MP):<\/strong> The price written on the product \ud83c\udff7\ufe0f<\/li>\n\n\n\n<li><strong>Selling Price (SP):<\/strong> The price at which the product is sold \ud83d\udcb0<\/li>\n\n\n\n<li><strong>Cost Price (CP):<\/strong> The price at which the shopkeeper buys the product \ud83d\udce6<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 Discount<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Discount:<\/strong> Reduction given on the marked price \ud83d\udd3b<\/li>\n\n\n\n<li><strong>Discount Amount = MP \u2212 SP<\/strong><\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading has-large-font-size\">\ud83d\udc49 Discount Percent<\/h4>\n\n\n\n<p>Discount\u00a0% = Discount \/ Marked\u00a0Price \u00d7 100<\/p>\n\n\n\n<p>\u2705 If MP = \u20b9500 and SP = \u20b9450<br>Discount = \u20b950<br>Discount % = (50 \u00f7 500) \u00d7 100 = <strong>10%<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 Mark-Up<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Mark-Up:<\/strong> Increase in price over the cost price \ud83d\udd3a<\/li>\n\n\n\n<li><strong>Mark-Up Amount = SP \u2212 CP<\/strong><\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading has-large-font-size\">\ud83d\udc49 Mark-Up Percent<\/h4>\n\n\n\n<p>Mark-Up\u00a0% = Mark-Up \/ Cost\u00a0Price \u00d7 100<\/p>\n\n\n\n<p>\u2705 If CP = \u20b9400 and SP = \u20b9480<br>Mark-Up = \u20b980<br>Mark-Up % = (80 \u00f7 400) \u00d7 100 = <strong>20%<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 Important Formulas<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>SP after Discount:<\/strong> <\/li>\n<\/ul>\n\n\n\n<p>SP = MP \u00d7 (1\u2212Discount\u00a0% \/ 100)<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>SP after Mark-Up:<\/strong> <\/li>\n<\/ul>\n\n\n\n<p>SP = CP \u00d7 (1 + Mark-Up\u00a0% \/ 100)<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 Real-Life Examples<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Discounts are given during <strong>sales<\/strong> \ud83d\udecd\ufe0f<\/li>\n\n\n\n<li>Mark-ups are used by <strong>shopkeepers<\/strong> to make profit \ud83d\udcc8<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 Key Tips \ud83e\udde0<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Discount is <strong>always calculated on Marked Price<\/strong><\/li>\n\n\n\n<li>Mark-up is <strong>always calculated on Cost Price<\/strong><\/li>\n\n\n\n<li>Convert percentages to fractions when calculating easily \u270f\ufe0f<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\">Learn with an example<\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f7e0e0\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-b8122f0e366fb571b308e6a0248480ab\" style=\"color:#b00012\"><strong>A store employee creates a display of tulips priced at&nbsp;\u20b962 apiece. The store paid&nbsp;\u20b931 for each tulip. What percentage is the mark-up?<\/strong><\/p>\n\n\n\n<p><em>Write your answer using a percent sign (%).<\/em>&#8212;&#8212;&#8211;<\/p>\n<\/div><\/div>\n\n\n\n<p>The percent of change formula can be used to find percent of mark-up.<\/p>\n\n\n\n<p>percent of mark-up=selling price \u2212 purchase price\/purchase price<\/p>\n\n\n\n<p>Plug&nbsp;\u20b931 and&nbsp;\u20b962 into the formula and simplify.<\/p>\n\n\n\n<p>percent of mark-up=selling price \u2212 purchase price\/purchase price<\/p>\n\n\n\n<p>                               =62-31\/31<\/p>\n\n\n\n<p>                               =31\/31<\/p>\n\n\n\n<p>                                 =1<\/p>\n\n\n\n<p>Write the number as a percent.<\/p>\n\n\n\n<p>1&nbsp;\u2192&nbsp;100%<\/p>\n\n\n\n<p>The percent of mark-up is 100%.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#c8e1de\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-e1328204b520c5b94eb0af60af08dabb\" style=\"color:#b00012\"><strong>The buyer for a chain of stores purchased bike lights in bulk, paying&nbsp;\u20b980 each. The stores will sell each bike light for&nbsp;\u20b9228. What is the mark-up, as a percentage?<\/strong><\/p>\n\n\n\n<p><em>Write your answer using a percent sign (%).<\/em>&#8212;&#8212;-.<\/p>\n<\/div><\/div>\n\n\n\n<p>The percent of change formula can be used to find percent of mark-up.<\/p>\n\n\n\n<p>percent of mark-up=selling price \u2212 purchase price\/purchase price<\/p>\n\n\n\n<p>Plug&nbsp;\u20b980 and&nbsp;\u20b9228 into the formula and simplify.<\/p>\n\n\n\n<p>percent of mark-up=selling price \u2212 purchase price\/purchase price<\/p>\n\n\n\n<p>                               =228-80\/80<\/p>\n\n\n\n<p>                               =148\/80<\/p>\n\n\n\n<p>                                 =1.85<\/p>\n\n\n\n<p>Write the number as a percent.<\/p>\n\n\n\n<p>1.85&nbsp;\u2192&nbsp;185%<\/p>\n\n\n\n<p>The percent of mark-up is 185%.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#daead3\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-bf6f6af816ea82f0416f10d73044493f\" style=\"color:#b00012\"><strong>Juan, a sign maker for a store, makes a sign advertising boxes of plastic spoons for sale at a price of&nbsp;\u20b9116 each. However, the boxes of plastic spoons only cost the store&nbsp;\u20b9100 each. What percentage is the mark-up?<\/strong><\/p>\n\n\n\n<p><em>Write your answer using a percent sign (%).<\/em>&#8212;&#8212;&#8211;.<\/p>\n<\/div><\/div>\n\n\n\n<p>The percent of change formula can be used to find percent of mark-up.<\/p>\n\n\n\n<p>percent of mark-up=selling price \u2212 purchase price\/purchase price<\/p>\n\n\n\n<p>Plug&nbsp;\u20b9100 and&nbsp;\u20b9116 into the formula and simplify.<\/p>\n\n\n\n<p>percent of mark-up=selling price \u2212 purchase price\/purchase price<\/p>\n\n\n\n<p>                               =116-100\/100<\/p>\n\n\n\n<p>                               =16\/100<\/p>\n\n\n\n<p>                                 =0.16<\/p>\n\n\n\n<p>Write the number as a percent.<\/p>\n\n\n\n<p>0.16&nbsp;\u2192&nbsp;16%<\/p>\n\n\n\n<p>The percent of mark-up is 16%.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice!<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-24.png\" alt=\"\" class=\"wp-image-8494\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-24.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-24-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-24-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/31680\/393\/813\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-24.png\" alt=\"\" class=\"wp-image-8495\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-24.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-24-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-24-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Find the percent: discount and mark-up Key notes: \ud83d\udd39 Basic Terms \ud83d\udd39 Discount \ud83d\udc49 Discount Percent Discount\u00a0% = Discount \/ Marked\u00a0Price \u00d7 100 \u2705 If MP = \u20b9500 and SP = \u20b9450Discount = \u20b950Discount % = (50 \u00f7 500) \u00d7 100 = 10% \ud83d\udd39 Mark-Up \ud83d\udc49 Mark-Up Percent Mark-Up\u00a0% = Mark-Up \/ Cost\u00a0Price \u00d7 100<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/k-5-find-the-percent-discount-and-mark-up\/\">Continue reading <span class=\"screen-reader-text\">&#8220;K.5 Find the percent: discount and mark-up&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-230","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/230","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=230"}],"version-history":[{"count":12,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/230\/revisions"}],"predecessor-version":[{"id":22457,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/230\/revisions\/22457"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=230"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}