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Question
Find the single discount equivalent to a series discount of 10%, 20%, and 15%.
Solution
Let the marked price be ₹ 100
After 1st discount the price = 100`(1 - 10/100)`
= 90
After 2nd discount the price = 90`(1 - 20/100)`
= 72
After 3rd discount the price = 72`(1 - 15/100)`
= `72 xx 85/100`
= 61.2
∴ The selling price after 3 discounts is ₹ 61.2.
∴ Single equivalent discount
= marked price – selling price
= 100 – 61.2
= ₹ 38.8
∴ The single equivalent discount is ₹ 38.8 on ₹ 100.
i.e. The single equivalent discount is 38.8%.
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