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- Quantitative Aptitude
7.Profit and Loss
hard
Sudeep buys two $CDs$ for $Rs.\,380$ and sells one at a loss of $22 \%$ and the other at a gain of $12 \%$. If both the $CDs$ are sold at the same price, then the cost price of two $CDs$ is (in $Rs.$)
A
$196,225$
B
$230,140$
C
$224,156$
D
None of these
Solution
cost price of the $CD$ sold at a loss of $22 \%$
$=\frac{A(100+\% \text { gain })}{(100-\% \operatorname{loss})+(100+\% \operatorname{gain})}$
$=\frac{380(100+12)}{(100-22)+(100+12)}=\frac{380 \times 112}{78+112}$
$=Rs. 224$
cost price of the $CD$ sold at a gain of $12 \%$ $=\frac{A(100-\% \operatorname{loss})}{(100-\% \operatorname{loss})+(100+\% \operatorname{gain})}$
$=\frac{380(100-22)}{(100-22)+(100+12)}=\frac{380 \times 78}{78+112}$
$=Rs. 156$
Standard 13
Quantitative Aptitude
