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7.Profit and Loss
medium
A man sells each of his $2$ articles for $Rs.$ $99.$ On one he gains $10 \%$ and on the other he incurred a loss of $1 \%$ in the entire transaction. What is his total gain in $\%$?
A
$9$
B
$4 \frac{4}{19}$
C
$4.5$
D
$5.5$
Solution
$CP$ of $1$ st article $=\frac{99}{1.10}=$ $Rs.$ $90 \quad$ [Profit of $\left.10 \%\right]$
$CP$ of $2$nd article $=\frac{99}{0.99}=$ $Rs.$ $100 \quad[$ Loss of $1 \%]$
$CP$ of both article together $=100+90= Rs .190$
$SP$ of both article together $=99+99=$ $Rs. 198$
$\%$ profit $=\frac{198-190}{190} \times 100=4 \frac{4}{19} \%$
Standard 13
Quantitative Aptitude