Question 52

A single discount equivalent to three successive discounts of 10%, 15% and 18%, is:

Solution

Let Initial value = 100

Discounted value = (100 - 10)% of (100 - 15)% of (100 - 18)% of 100

i.e; 90% of 85% of 82% of 100 = $$\frac{90}{100}\times\ \frac{85}{100}\times\ \frac{82}{100}\times\ 100$$

Discounted value = 62.73

Equivalent discount = $$\frac{initial\ value-discounted\ value}{initial\ value}\times\ 100$$

= $$\frac{100-62.73}{100}\times\ 100=37.27\%$$

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