A man sells each of his 2 articles for Rs. 99. On one he gains 10 % and on other he incurred a loss

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7.Profit and Loss

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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

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