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The successive discounts of 29%, 18% and 9% are equivalent to a single discount of: (Rounded up to two decimal places.)
Question

The successive discounts of 29%, 18% and 9% are equivalent to a single discount of: (Rounded up to two decimal places.)

A.

47.02%

B.

48.05%

C.

49.36%

D.

44.35%

Correct option is A

Given:

Two successive discounts: 29%, 18% and 9%
Formula Used:
Single Discount = 1(1d1100)×(1d2100)×(1d3100).1 - (1 - \frac {d_1}{100}) × (1 - \frac{d_2}{100}) × (1 - \frac{d_3}{100}).​​
Solution:
Single Discount = 1 - (129100)×(118100)××(19100)(1 - \frac {29}{100}) × (1 - \frac{18}{100})× × (1 - \frac{9}{100})​​
Single Discount= 1 - 0.71 × 0.82  ×  0.91
Single Discount= 1 - 0.529802
Single Discount = 0.470198
Discount = 47.02%

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