Question

iii) Find the single discount which
is equivalent to successive discounts of 20%, 15%,10%​

Answer 1

Let the price be x.

(1)

Discount = 20% of x = 0.2 x

New Price = x - 0.2 x = 0.80 x

(2)

Discount = 15% of 0.8 x

=>  (15/100) * 0.80 x

=> 0.15 * 0.80 x

=> 0.12 x

New Price = 0.80 x - 0.12 x = 0.68 x

(3)

Discount = 10% of 0.68 x

               = (10/100) * 0.68 x

               = 0.068 x

New Price = 0.612 x

Then:

x = x - 0.61

= 0.39 x

Single Discount = 39%

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