If discount of 10 % is given on marked price of a radio, gain is 20 % . If discount is increased to

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7.Profit and Loss

medium

If the discount of $10 \%$ is given on the marked price of a radio, the gain is $20 \%$. If the discount is increased to $20 \%,$ the gain is......$\%$

A

$6 \frac{1}{4}$

B

$5$

C

$7 \frac{5}{8}$

D

$6 \frac{2}{3}$

Solution

Given if $D=10 \%$

$G=20 \%$

Consider $CP =₹ 100$

$SP =₹ 120 \quad$ if $D =10 \%$

$\therefore$ Now $MP =\frac{120}{90 \%}=₹ 133.33$

Now $D=20 \%,$ then $S P=80 \%(133.33)$

$=₹ 106.66$

Gain $\%=\frac{6.66}{100} \times 100$

$=6.66$ or $6\frac{2}{3}\%$

Standard 13

Quantitative Aptitude

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