Question

Two cricket bats were sold for Rs. $9900$ each, gaining $10\%$ on one and losing $10\%$ on the other. The overall gain or loss percent is

• A. $1\%$ loss
• B. $\frac{100}{99}\%$ gain
• C. neither gain nor loss
• D. $1\%$ gain

Answer 1

The correct option is A $1\%$ loss

We know that profit percent $=\frac{S.P.-C.P.}{C.P.}\times 100$
and loss percent $=\frac{C.P.-S.P.}{C.P.}\times 100$
where $C.P.=$ cost price, $S.P.=$ selling price

Now, $C.P.$ of the $1$st cricket bat $=\frac{9900\times 100}{100+10}=$ Rs. $9000$
$C.P.$ of the $2$nd cricket bat $=\frac{9900\times 100}{100-10}=$ Rs. $11000$
Total $C.P.=9000+11000=20,000$
Total $S.P.=9900+9900=19,800$
Since $S.P.<C.P.,$
therefore, loss percent $=\frac{20000-19800}{20000}\times 100=1\%$