Question

A shopkeeper loses 7% by selling a cricket ball for Rs 31. For how much should he sell the ball so as to gain 5%?

• A. Rs 50
• B. Rs 65
• C. Rs 35
• D. Rs 40
• E. None of the above

Answer 1

The correct option is C Rs 35

In the first case, S.P. =Rs 31 and loss% =7%
$\therefore C.P.=\left(\frac{100}{100-loss\%}\right)\times S.P.=\left(\frac{100}{100-7}\right)\times 31=\frac{100}{93}\times 31=Rs33\frac{1}{3}$
In the second case, C.P. =Rs $33\frac{1}{3}$ and gain % =5%
$\therefore S.P.=\left(\frac{100+Gain\%}{100}\right)\times C.P.$
$=\left(\frac{100+5}{100}\right)\times \frac{100}{3}=\frac{105}{100}\times \frac{100}{3}=Rs35$