Three successive discounts of 10 %, 12 % and 15 % will amount to a single discount of in % ?

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7.Profit and Loss

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Three successive discounts of $10 \%, 12 \%$ and $15 \%$ will amount to a single discount of in $\%$?

A

$36.28$

B

$32.68$

C

$34.68$

D

$37$

Solution

Three successful discount equivalent to

$\left[x+y+z-\frac{x y+y z+z x}{100}+\frac{x y z}{(100)^{2}}\right] \%$

(where $x=10 \%, y=12 \%, z=15 \%)$

$\left[10+12+15-\frac{10 \times 12+12 \times 15+15 \times 10}{100}+\frac{10 \times 12 \times 15}{(100)^{2}}\right] \%$

$37-4.50+0.18=32.68 \%$

Standard 13

Quantitative Aptitude

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