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Find a single discount equivalent to two successive discounts of 25% and 10%.
Question

Find a single discount equivalent to two successive discounts of 25% and 10%.

A.

31.9%

B.

35.5%

C.

32.5%

D.

38.4%

Correct option is C

Given:
Two successive discounts: 25% and 10%.
Formula Used:
Single Discount = 1(1d1100)×(1d2100).1 - (1 - \frac {d_1}{100}) × (1 - \frac{d_2}{100}).​​
Solution:
Single Discount = 1 - (125100)×(110100)(1 - \frac {25}{100}) × (1 - \frac{10}{100})​​
Single Discount= 1 - 0.75 × 0.90
Single Discount= 1 - 0.675
Single Discount = 0.325 = 32.5%
Answer: (c) 32.5%

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