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What is the single per cent discount equivalent to two successive discounts of 18.5% and 11.5%?
Question

What is the single per cent discount equivalent to two successive discounts of 18.5% and 11.5%?

A.

30%

B.

27%

C.

27.8725%

D.

32.1275%

Correct option is C

Given:

Two successive discounts:

First = 18.5%

Second = 11.5%

Formula Used:

Net Discount = X + Y - XY100\frac{XY}{100}​​

Solution: 

Here, 

X = 18.5 and Y = 11.5 

Now, 

=18.5+11.518.5×11.5100 =30212.75100 =302.1275=27.8725%= 18.5 + 11.5 - \frac{18.5 \times 11.5}{100} \\ \ \\= 30 - \frac{212.75}{100} \\ \ \\= 30 - 2.1275 = 27.8725\%​​

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