A person earns 15 % on investment but loses 10 % on another investment. If ratio of two investments

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7.Profit and Loss

hard

A person earns $15 \%$ on investment but loses $10 \%$ on another investment. If the ratio of the two investments be $3: 5,$ what is the gain or loss on the two investments taken together in $\%$?

A

$0.625$

B

$0.8$

C

$0.9$

D

$1.2$

Solution

Let the investments be Rs. $3 x$ and $R$ s. $5 x$

Then total investment $=8 x$

Total receipt $=115 \%$ of $3 x+90 \%$ of $5 x$

$=115 \times \frac{3 x}{100}+90 \times \frac{5 x}{100}=7.95 x$

Loss $=C P-S P=8 x-7.95 x=0.05 x$

$\operatorname{loss} \%=0.05 x \times \frac{100}{8 x}=0.625 \%$

Standard 13

Quantitative Aptitude

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