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Find the Single Discount (As a Percent) Equivalent to Successive Discounts Of: 60% and 80%

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Question

Find the single discount (as a percent) equivalent to successive discounts of:
60% and 80%

Sum
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Solution

Successive discounts = 60% and 80%

Let M.P. = ₹100

∴ S.P. after two discounts,

`=₹(100(100-60)xx(100-80))/(100xx100)`

`=₹(100xx40xx20)/(100xx100)=₹8`

∴ Total discount = ₹100 − 8 = ₹92

∴ Single discount = 92%

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Chapter 8: Profit, Loss and Discount - Exercise 8 (D) [Page 98]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 8 Profit, Loss and Discount
Exercise 8 (D) | Q 16.3 | Page 98

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