Question

Raghav purchased a scooter at $\frac{13}{15}$ of its selling price and sold it at $12\%$ more than its selling price. What is his gain per cent ?

• A. $29\frac{3}{13}$%
• B. $21\frac{3}{18}$%
• C. $22\frac{3}{18}$%
• D. $23\frac{3}{11}$%

Answer 1

The correct option is A $29\frac{3}{13}$%

Let selling price of scooter be X Rs.

Cost price for Raghav (CP) $=\frac{13}{15}ofX=\frac{13X}{15}$

Selling price for Raghav is 12% more than Selling price.

$\Rightarrow SP=X+12\%ofX=X+0.12X=\frac{28X}{25}Rs$

$\therefore Gain=SP-CP=\frac{28X}{25}-\frac{13X}{15}=\frac{168X-130X}{150}=\frac{38X}{150}$

$\therefore GainPercentage=\frac{Gain\times 100}{CP}=\frac{\frac{38X}{150}\times 100}{\frac{13X}{15}}=\frac{380}{13}=29\frac{3}{13}\%$