{"id":232,"date":"2022-04-13T04:33:41","date_gmt":"2022-04-13T04:33:41","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=232"},"modified":"2025-12-19T06:00:51","modified_gmt":"2025-12-19T06:00:51","slug":"k-6-sale-prices-find-the-original-price","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/k-6-sale-prices-find-the-original-price\/","title":{"rendered":"K.6 Sale prices: find the original price"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Sale prices: find the original price<\/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<h2 class=\"wp-block-heading has-large-font-size\">\ud83c\udff7\ufe0f Sale Prices: Find the Original Price<\/h2>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd11 Key Points<\/h3>\n\n\n\n<p>\u2728 <strong>Sale Price<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The price paid <strong>after a discount<\/strong> is called the <em>sale price<\/em>.<\/li>\n<\/ul>\n\n\n\n<p>\u2728 <strong>Original Price<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The price <strong>before the discount<\/strong> is called the <em>original (marked) price<\/em>.<\/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\udcaf Understanding Discount<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Discount (%)<\/strong> means how much is taken off the original price.<\/li>\n\n\n\n<li>Example:\n<ul class=\"wp-block-list\">\n<li>20% discount = 20 out of 100 parts are reduced.<\/li>\n<\/ul>\n<\/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\">\ud83e\uddee Formula to Find Original Price<\/h3>\n\n\n\n<p>\ud83d\udc49 <strong>Original Price = Sale Price \u00f7 (1 \u2212 Discount Rate)<\/strong><\/p>\n\n\n\n<p>\ud83d\udccc <em>Discount rate must be written as a decimal.<\/em><\/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\udd04 Convert Percentage to Decimal<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>10% = 0.10<\/li>\n\n\n\n<li>20% = 0.20<\/li>\n\n\n\n<li>25% = 0.25<\/li>\n\n\n\n<li>40% = 0.40<\/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\">\u270f\ufe0f Step-by-Step Method<\/h3>\n\n\n\n<p>1\ufe0f\u20e3 Convert the discount percent into a decimal<br>2\ufe0f\u20e3 Subtract it from 1<br>3\ufe0f\u20e3 Divide the sale price by the result<\/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\">\ud83e\udde0 Example<\/h3>\n\n\n\n<p>\ud83d\udecd\ufe0f A bag is sold for \u20b9600 after a <strong>25% discount<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Discount = 25% = 0.25<\/li>\n\n\n\n<li>1 \u2212 0.25 = 0.75<\/li>\n\n\n\n<li>Original Price = 600 \u00f7 0.75 = <strong>\u20b9800<\/strong><\/li>\n<\/ul>\n\n\n\n<p>\u2705 Original Price = <strong>\u20b9800<\/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\">\u26a0\ufe0f Common Mistakes to Avoid<\/h3>\n\n\n\n<p>\u274c Subtracting discount directly from sale price<br>\u274c Forgetting to convert % into decimal<br>\u274c Using discount amount instead of discount rate<\/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\">\ud83c\udf1f Tip for Students<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Always ask: <strong>\u201cWhat part of the original price is left after discount?\u201d<\/strong><\/li>\n\n\n\n<li>Sale price is <strong>a fraction of the original price<\/strong>, not the full amount!<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/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\" style=\"flex-basis:100%\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#e5b6b6\"><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<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"50\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-50.png\" alt=\"\" class=\"wp-image-4661\" style=\"width:402px;height:134px\"\/><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-37c781fbfcd5e2c5d90239979100e22b\" style=\"color:#b00012\"><strong>Sebastian&nbsp;buys a desk during the sale. If Sebastian pays&nbsp;\u20b945,&nbsp;what was the original&nbsp;price?\u20b9&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8211;<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p><strong>Find&nbsp;the percent&nbsp;paid:<\/strong><\/p>\n\n\n\n<p>To&nbsp;find the&nbsp;<strong>percent&nbsp;paid<\/strong>,&nbsp;subtract the&nbsp;<strong>percent&nbsp;off<\/strong>&nbsp;from&nbsp;100%.<\/p>\n\n\n\n<p>percent&nbsp;paid=100%\u2013percent&nbsp;off<\/p>\n\n\n\n<p>                    =100%\u201375% <\/p>\n\n\n\n<p>                    =25%<\/p>\n\n\n\n<p>With&nbsp;75%&nbsp;off, the percent paid is&nbsp;25%.<\/p>\n\n\n\n<p><strong>Write&nbsp;an equation to solve for the original&nbsp;price:<\/strong><\/p>\n\n\n\n<p>Since&nbsp;25%&nbsp;of the original price is equal to the sale price of&nbsp;\u20b945,&nbsp;you can set up and solve an equation. Let&nbsp;p&nbsp;represent the original&nbsp;price.<\/p>\n\n\n\n<p>25% . p=45<\/p>\n\n\n\n<p> 25\/100 . p=45     Write&nbsp;the percent as a&nbsp;fraction<\/p>\n\n\n\n<p>0.25 . p=45           Write&nbsp;the fraction as a&nbsp;decimal <\/p>\n\n\n\n<p>0.25p\/0.25=45\/0.25    Divide&nbsp;both sides by&nbsp;0.25<\/p>\n\n\n\n<p>p=180                   Simplify<\/p>\n\n\n\n<p>The&nbsp;original price was&nbsp;\u20b9180.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#7ea2c4\"><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<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"50\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-51.png\" alt=\"\" class=\"wp-image-4666\" style=\"width:402px;height:134px\"\/><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-28fb8cb13d5f5f150bc7a35543ceebc8\" style=\"color:#b00012\">What&nbsp;was the original price of a set of bunk beds whose sale price is&nbsp;\u20b951?<\/p>\n\n\n\n<p>\u20b9&#8212;&#8212;&#8211;<\/p>\n<\/div><\/div>\n\n\n\n<p><strong>Find&nbsp;the percent&nbsp;paid:<\/strong><\/p>\n\n\n\n<p>To&nbsp;find the&nbsp;<strong>percent&nbsp;paid<\/strong>,&nbsp;subtract the&nbsp;<strong>percent&nbsp;off<\/strong>&nbsp;from&nbsp;100%.<\/p>\n\n\n\n<p>percent&nbsp;paid=100%\u2013percent&nbsp;off<\/p>\n\n\n\n<p>                    =100%\u201325% <\/p>\n\n\n\n<p>                    =75%<\/p>\n\n\n\n<p>With&nbsp;25%&nbsp;off, the percent paid is&nbsp;75%.<\/p>\n\n\n\n<p><strong>Write&nbsp;an equation to solve for the original&nbsp;price:<\/strong><\/p>\n\n\n\n<p>Since&nbsp;75%&nbsp;of the original price is equal to the sale price of&nbsp;\u20b951,&nbsp;you can set up and solve an equation. Let&nbsp;p&nbsp;represent the original&nbsp;price.<\/p>\n\n\n\n<p>75% . p=51<\/p>\n\n\n\n<p> 75\/100 . p=51     Write&nbsp;the percent as a&nbsp;fraction<\/p>\n\n\n\n<p>0.75 . p=51           Write&nbsp;the fraction as a&nbsp;decimal <\/p>\n\n\n\n<p>0.75p\/0.75=51\/0.75    Divide&nbsp;both sides by&nbsp;0.75<\/p>\n\n\n\n<p>p=68                   Simplify<\/p>\n\n\n\n<p>The&nbsp;original price was&nbsp;\u20b968.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#d295b4\"><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<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"50\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-52.png\" alt=\"\" class=\"wp-image-4669\" style=\"width:393px;height:131px\"\/><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-c1601431b7b09368fbee7ad69456eec2\" style=\"color:#b00012\"><strong>During&nbsp;the sale, Keith pays&nbsp;\u20b920&nbsp;for a kitchen table. What was the original&nbsp;price?\u20b9&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;-<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p><strong>Find&nbsp;the percent&nbsp;paid:<\/strong><\/p>\n\n\n\n<p>To&nbsp;find the&nbsp;<strong>percent&nbsp;paid<\/strong>,&nbsp;subtract the&nbsp;<strong>percent&nbsp;off<\/strong>&nbsp;from&nbsp;100%.<\/p>\n\n\n\n<p>percent&nbsp;paid=100%\u2013percent&nbsp;off<\/p>\n\n\n\n<p>                    =100%\u201360% <\/p>\n\n\n\n<p>                    =40%<\/p>\n\n\n\n<p>With&nbsp;60%&nbsp;off, the percent paid is&nbsp;40%.<\/p>\n\n\n\n<p><strong>Write&nbsp;an equation to solve for the original&nbsp;price:<\/strong><\/p>\n\n\n\n<p>Since&nbsp;40%&nbsp;of the original price is equal to the sale price of&nbsp;\u20b920,&nbsp;you can set up and solve an equation. Let&nbsp;p&nbsp;represent the original&nbsp;price.<\/p>\n\n\n\n<p>40% . p=20<\/p>\n\n\n\n<p> 40\/100 . p=20     Write&nbsp;the percent as a&nbsp;fraction<\/p>\n\n\n\n<p>0.40 . p=20           Write&nbsp;the fraction as a&nbsp;decimal <\/p>\n\n\n\n<p>0.40p\/0.40=20\/0.40    Divide&nbsp;both sides by&nbsp;0.75<\/p>\n\n\n\n<p>p=50                  Simplify<\/p>\n\n\n\n<p>The&nbsp;original price was&nbsp;\u20b950.<\/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-1-3-23.png\" alt=\"\" class=\"wp-image-8490\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-23.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-23-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-23-150x150.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\/36215\/863\/469\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-23.png\" alt=\"\" class=\"wp-image-8491\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-23.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-23-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-23-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Sale prices: find the original price Key notes: \ud83c\udff7\ufe0f Sale Prices: Find the Original Price \ud83d\udd11 Key Points \u2728 Sale Price \u2728 Original Price \ud83d\udcaf Understanding Discount \ud83e\uddee Formula to Find Original Price \ud83d\udc49 Original Price = Sale Price \u00f7 (1 \u2212 Discount Rate) \ud83d\udccc Discount rate must be written as a decimal. \ud83d\udd04 Convert<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/k-6-sale-prices-find-the-original-price\/\">Continue reading <span class=\"screen-reader-text\">&#8220;K.6 Sale prices: find the original price&#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-232","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\/232","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=232"}],"version-history":[{"count":13,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/232\/revisions"}],"predecessor-version":[{"id":22461,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/232\/revisions\/22461"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=232"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}