Find a Single Discount (As a Percent) Equivalent to Following Successive Discounts: 20% and 12% - Mathematics

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Sum

Find a single discount (as a percent) equivalent to following successive discounts:
20% and 12%

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Solution

Successive discount = 20% and 12%

Let M.P. = ₹100

First discount = 20%

Second discount = 12%

∴ S.P.`=("M.P."(100-"Discount%"))/100`

`=(100xx(100-20)(100-12))/(100xx100)`

`=(100xx80xx88)/(100xx100)=352/5`

∴ Total discount on ₹100 = `100-352/5`

`=(500-352)/5=₹148/5`

∴ Single discount`=148/5%`

`=29 3/5%`

Concept: Concept of Discount
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 8 Profit, Loss and Discount
Exercise 8 (D) | Q 15.1 | Page 98
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