{"id":254,"date":"2022-04-12T10:01:22","date_gmt":"2022-04-12T10:01:22","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=254"},"modified":"2025-03-25T11:14:28","modified_gmt":"2025-03-25T11:14:28","slug":"l-8-multi-step-problems-with-percents","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/l-8-multi-step-problems-with-percents\/","title":{"rendered":"L.8 Multi-step problems with percents"},"content":{"rendered":"\n

Multi-step problems with percents<\/strong><\/h2>\n\n\n\n

Key notes:<\/p>\n\n\n\n

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Discount formulas:<\/p>\n\n\n\n

discount price = original price \u2212 discount<\/p>\n\n\n\n

discount = discount percentage \u00d7 original price<\/p>\n\n\n\n

Commission formula:<\/strong><\/p>\n\n\n\n

commission = commission percentage \u00d7 sales<\/p>\n<\/div><\/div>\n\n\n\n

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Mark-up formulas:<\/p>\n\n\n\n

price = cost + mark-up<\/p>\n\n\n\n

mark-up = mark-up percentage \u00d7 cost<\/p>\n\n\n\n

Commission formula:<\/p>\n\n\n\n

commission = commission percentage \u00d7 sales<\/p>\n<\/div><\/div>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

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\u25b6\ufe0f A store priced a golf club at \u20b94,875 and later marked it down 20 percent. Today, a salesperson named Brenda sold the golf club, earning a 9% commission on the sale price. How much commission did Brenda make?<\/strong><\/p>\n\n\n\n

\u20b9_______<\/p>\n<\/div><\/div>\n\n\n\n

First find the discount price. Write 20% as the decimal 0.20 before using it in the equation.<\/p>\n\n\n\n

discount price = original price \u2212 discount<\/p>\n\n\n\n

= 4,875 \u2212 0.20 \u00d7 4,875<\/p>\n\n\n\n

= 4,875 \u2212 975<\/p>\n\n\n\n

= 3,900<\/p>\n\n\n\n

The discount price was \u20b93,900.<\/p>\n\n\n\n

Now find the commission. Write 9% as the decimal 0.09 before using it in the equation.<\/p>\n\n\n\n

commission = commission percentage \u00d7 sales<\/p>\n\n\n\n

= 0.09 \u00d7 3,900<\/p>\n\n\n\n

= 351<\/p>\n\n\n\n

The commission was \u20b9351.<\/p>\n<\/div><\/div>\n\n\n\n

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\u25b6\ufe0f A store purchased a hammock for \u20b98,310 and marked it up 100%. Brennan makes a 10% commission on all of his sales. How much commission did he make when he sold the hammock?<\/strong><\/p>\n\n\n\n

\u20b9______<\/p>\n<\/div><\/div>\n\n\n\n

First find the price. Write 100% as the decimal 1.00 before using it in the equation.<\/p>\n\n\n\n

price = cost + mark-up<\/p>\n\n\n\n

= 8,310 + 1.00 \u00d7 8,310<\/p>\n\n\n\n

= 8,310 + 8,310<\/p>\n\n\n\n

= 16,620<\/p>\n\n\n\n

The price was \u20b916,620.<\/p>\n\n\n\n

Now find the commission. Write 10% as the decimal 0.10 before using it in the equation.<\/p>\n\n\n\n

commission = commission percentage \u00d7 sales<\/p>\n\n\n\n

= 0.10 \u00d7 16,620<\/p>\n\n\n\n

= 1,662<\/p>\n\n\n\n

The commission was \u20b91,662.<\/p>\n<\/div><\/div>\n\n\n\n

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\u25b6\ufe0f A store bought a fancy watch at a cost of \u20b92,536 and marked it up 150%. Addison, who works as a salesperson at the store, makes a 15% commission on all of her sales. Yesterday morning, Addison sold the watch. How much commission did she make from this sale?<\/strong><\/p>\n\n\n\n

\u20b9______<\/p>\n<\/div><\/div>\n\n\n\n

First find the price. Write 150% as the decimal 1.50 before using it in the equation.<\/p>\n\n\n\n

price = cost + mark-up<\/p>\n\n\n\n

= 2,536 + 1.50 \u00d7 2,536<\/p>\n\n\n\n

= 2,536 + 3,804<\/p>\n\n\n\n

= 6,340<\/p>\n\n\n\n

The price was \u20b96,340.<\/p>\n\n\n\n

Now find the commission. Write 15% as the decimal 0.15 before using it in the equation.<\/p>\n\n\n\n

commission = commission percentage \u00d7 sales<\/p>\n\n\n\n

= 0.15 \u00d7 6,340<\/p>\n\n\n\n

= 951<\/p>\n\n\n\n

The commission was \u20b9951.<\/p>\n<\/div><\/div>\n\n\n\n

Let’s practice! \ud83d\udd8a\ufe0f<\/p>\n<\/div><\/div>\n\n\n\n

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\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Multi-step problems with percents Key notes: Discount formulas: discount price = original price \u2212 discount discount = discount percentage \u00d7 original price Commission formula: commission = commission percentage \u00d7 sales Mark-up formulas: price = cost + mark-up mark-up = mark-up percentage \u00d7 cost Commission formula: commission = commission percentage \u00d7 sales Learn with an exampleContinue reading “L.8 Multi-step problems with percents”<\/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,"footnotes":""},"class_list":["post-254","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/254","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=254"}],"version-history":[{"count":10,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/254\/revisions"}],"predecessor-version":[{"id":15879,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/254\/revisions\/15879"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=254"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}