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Sum

Find the single discount equivalent to the discount series of 5%, 7%, and 9%.

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#### Solution

Let the marked price be ₹ 100

After 1^{st} discount the price = `100(1 - 5/100) = 95`

After the 2^{nd} discount the price = `95(1 - 7/100)`

= `(95 xx 93)/100`

After 3^{rd} discount the price = `(95 xx 93)/100(1 - 9/100)`

= `(95 xx 93 xx 91)/(100 xx 100)`

= `803985/10000`

= 80.3985

≈ 80.4

The selling price after 3 discounts is ₹ 80.4

∴ Single equivalent discount

= Marked price – Selling price

= 100 – 80.4

= ₹ 19.6

∴ Single equivalent discount is 19.6%

Concept: Profit and Loss

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