A shopkeeper fixes marked price of an item 35 % above its cost price. percentage of discount allowed

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7.Profit and Loss

medium

A shopkeeper fixes the marked price of an item $35 \%$ above its cost price. The percentage of discount allowed to gain $8 \%$ is......$\%$

A

$20$

B

$27$

C

$31$

D

$43$

Solution

Marked price $=1.35 \times$ cost price

For a gain of $8 \%$,

$S.P.$ $=1.08 \times$ cost price

$\therefore \%$ discount allowed on marke d price $=\frac{1.35-1.08}{1.35} \times 100=\frac{0.27}{1.35} \times 100=20 \%$

Standard 13

Quantitative Aptitude

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