Three successive discount of 12 13 and 11 are equivalent to...

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Three successive discount of 12%, 13% and 11% are equivalent to an approximate single discount of:

A. 32%

B. 40%

C. 42%

D. 35%

Answer: Option A

Solution (By Examveda Team)

Equivalent discount of (12%, 13%, 11%) = ?
Equivalent discount of (12% and 11%)
= 12 + 11 - $$\frac{{12 \times 11}}{{100}}$$
= 23 - 1.32
= 21.68%
Equivalent discount of (21.68% and 11%)
= 21.68 + 11 - $$\frac{{21.68 \times 11}}{{100}}$$
= 32%

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