a discount clothing store buys shirts and slacks with a list price of $12,750. i

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a discount clothing store buys shirts and slacks with a list price of $12,750. if the wholesale offers trade discounts of 15/25/15,find the single equivalent discount

Jun 20th, 2015

Thank you for the opportunity to help you with your question!

List price = $12750

100%-15% = 85% = 0.85

100% - 25% = 75% = 0.75

100% - 15% = 85% = 0.85

Value after first discount = 12750 * 0.85 = $ 10837.5

Value after second discount = $ 10837.5 * 0.75 = $8128.125

Value after third discount = $8128.125 * 0.85 = $ 6908.906

Net discount % = (6908.906-12750) / 12750 = 45.81%...................ignore negative sign, it signifies discount.

Therefore, single equivalent discount = 45.81%


Alternate method

Single equivalent discount = 1 - (0.85*0.75*0.85) = 0.4581 = 45.81%



Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 20th, 2015

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