{"id":51,"date":"2022-04-13T09:51:08","date_gmt":"2022-04-13T09:51:08","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=51"},"modified":"2025-03-05T06:55:19","modified_gmt":"2025-03-05T06:55:19","slug":"c-5-multi-step-problems-with-percents","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/c-5-multi-step-problems-with-percents\/","title":{"rendered":"C.5 Multi-step problems with percents"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Multi-step problems with percent<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/Class-10-C.5-Multi-step-problems-with-percents__.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-4dde4300b7763c9a2a860fe18546dfe2\" style=\"color:#74008b;text-transform:uppercase\">key notes:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">Mark-up formulas:\n<ul class=\"wp-block-list\">\n<li>price =cost + mark-up<\/li>\n\n\n\n<li>mark-up =mark-up percentage \u00d7 cost<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">Discount formulas:\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">discount price =original price \u2212 discount<\/li>\n\n\n\n<li class=\"has-large-font-size\">discount =discount percentage \u00d7 original price<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">commission formula:\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">commission =commission percentage \u00d7 sales<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">Total pay formula:\n<ul class=\"wp-block-list\">\n<li>total pay =base salary + commission<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-link-color has-large-font-size wp-elements-3fefd20f8ce119a518e5f53333ab5486\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#a6f4b8\"><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-constrained wp-block-group-is-layout-constrained\">\n<p>\ud83d\uddfc A store purchased a telephone for&nbsp;\u20b9680 and marked it up 175%. During a sale, the store marked it down 70%. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-50ff55869efdade0ceb0ada2982015ac\" style=\"color:#b00012\">What was the discount price of the telephone?<\/p>\n<\/div><\/div>\n\n\n\n<p>First, find the original price. Write 175% as the decimal 1.75 before using it in the equation.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>price<\/td><td>&nbsp;=&nbsp;<\/td><td>cost + mark-up<\/td><\/tr><tr><td><\/td><\/tr><tr><td><\/td><td>&nbsp;=&nbsp;<\/td><td>680 + 1.75 \u00d7 680<\/td><\/tr><tr><td><\/td><\/tr><tr><td><\/td><td>&nbsp;=&nbsp;<\/td><td>680 + 1,190<\/td><\/tr><tr><td><\/td><\/tr><tr><td><\/td><td>&nbsp;=&nbsp;<\/td><td>1,870<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>The original price was&nbsp;\u20b91,870.<\/p>\n\n\n\n<p>Now find the discount price. Write 70% as the decimal 0.70 before using it in the equation.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>discount price<\/td><td>&nbsp;=&nbsp;<\/td><td>original price \u2212 discount<\/td><\/tr><tr><td><\/td><\/tr><tr><td><\/td><td>&nbsp;=&nbsp;<\/td><td>1,870 \u2212 0.70 \u00d7 1,870<\/td><\/tr><tr><td><\/td><\/tr><tr><td><\/td><td>&nbsp;=&nbsp;<\/td><td>1,870 \u2212 1,309<\/td><\/tr><tr><td><\/td><\/tr><tr><td><\/td><td>&nbsp;=&nbsp;<\/td><td>561<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\">The discount price was&nbsp;\u20b9561.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f6a5df\"><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-constrained wp-block-group-is-layout-constrained\">\n<p>\ud83d\uddfc Roxanne works at a store where she earns a base salary of&nbsp;\u20b96,388 per week plus a commission of 13% of sales. If Roxanne sold&nbsp;\u20b98,000 worth of merchandise last week, <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-5bb50cc6e8904f330f0bc2c01fc743f3\" style=\"color:#b00012\">what was her total pay?<\/p>\n<\/div><\/div>\n\n\n\n<p>First, find the commission. Write 13% as the decimal 0.13 before using it in the equation.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>commission<\/td><td>&nbsp;=&nbsp;<\/td><td>commission percentage \u00d7 sales<\/td><\/tr><tr><td><\/td><\/tr><tr><td><\/td><td>&nbsp;=&nbsp;<\/td><td>0.13 \u00d7 8,000<\/td><\/tr><tr><td><\/td><\/tr><tr><td><\/td><td>&nbsp;=&nbsp;<\/td><td>1,040<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>The commission was&nbsp;\u20b91,040.<\/p>\n\n\n\n<p>Now find the total pay.<\/p>\n\n\n\n<figure id=\"yui_3_18_1_1_1661247261317_328\" class=\"wp-block-table\"><table><tbody><tr><td>total pay<\/td><td>&nbsp;=&nbsp;<\/td><td>base salary + commission<\/td><\/tr><tr><td><\/td><\/tr><tr><td><\/td><td>&nbsp;=&nbsp;<\/td><td>6,388 + 1,040<\/td><\/tr><tr><td><\/td><\/tr><tr><td><\/td><td>&nbsp;=&nbsp;<\/td><td>7,428<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\">The total pay was&nbsp;\u20b97,428.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#d7b2f1\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\ud83d\uddfc A store purchased a canoe for&nbsp;\u20b99,600 and marked it up 100%. Angie makes a 12% commission on all of her sales. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-6db4139984234b20f23384807ff3c110\" style=\"color:#b00012\">How much commission did she make when she sold the canoe?<\/p>\n\n\n\n<p>\u20b9_____<\/p>\n<\/div><\/div>\n\n\n\n<p>First find the price. Write 100% as the decimal 1.00 before using it in the equation.<\/p>\n\n\n\n<p>price = cost + mark-up<\/p>\n\n\n\n<p>= 9,600 + 1.00 \u00d7 9,600<\/p>\n\n\n\n<p>= 9,600 + 9,600<\/p>\n\n\n\n<p>= 19,200<\/p>\n\n\n\n<p>The price was \u20b919,200.<\/p>\n\n\n\n<p>Now find the commission. Write 12% as the decimal 0.12 before using it in the equation.<\/p>\n\n\n\n<p>commission = commission percentage \u00d7 sales<\/p>\n\n\n\n<p>= 0.12 x 19,200<\/p>\n\n\n\n<p>= 2,304<\/p>\n\n\n\n<p>The commission was \u20b92,304.<\/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\"><a href=\"https:\/\/wordwall.net\/play\/76284\/541\/188\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-14.png\" alt=\"\" class=\"wp-image-6560\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-14.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-14-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-14-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/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\/76293\/451\/579\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-14.png\" alt=\"\" class=\"wp-image-6562\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-14.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-14-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-14-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Multi-step problems with percent key notes: Learn with an example \ud83d\uddfc A store purchased a telephone for&nbsp;\u20b9680 and marked it up 175%. During a sale, the store marked it down 70%. What was the discount price of the telephone? First, find the original price. Write 175% as the decimal 1.75 before using it in the<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/c-5-multi-step-problems-with-percents\/\">Continue reading <span class=\"screen-reader-text\">&#8220;C.5 Multi-step problems with percents&#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-51","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/51","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=51"}],"version-history":[{"count":21,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/51\/revisions"}],"predecessor-version":[{"id":17580,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/51\/revisions\/17580"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=51"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}