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Find a single discount equivalent to two successive discounts of 15 percent and 5 percent.
Question

Find a single discount equivalent to two successive discounts of 15 percent and 5 percent.

A.

19.25

B.

20.20

C.

10.5

D.

18.75

Correct option is A

Given:

2 successive discounts of 15% and 5%.

Formula Used:

Effective discount for a% and b% discounts

= a% + b% - (ab100\frac{ab}{100}​)%

Solution:

Effective discount for 15% and 5% discounts:

15%+5%{15×5100}%=20%0.75%=19.25%15\% + 5\% - \left\{ \frac{15 \times 5}{100} \right\}\% = 20\% - 0.75\% = 19.25\%​​

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