A and B jointly made a profit of Rs., 1650 and they decided to share it such that frac{1}{3} of A &#

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7.Profit and Loss

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$A$ and $B$ jointly made a profit of $Rs.\, 1650$ and they decided to share it such that $\frac{1}{3}$ of $A$ 's profit is equal to $\frac{2}{5}$ of $B$ 's profit. Then profit of $B$ is (in $Rs.$)

A

$700$

B

$750$

C

$850$

D

$800$

Solution

$\frac{1}{3} A=\frac{2}{5} B=x$

$A=3 x$

$B=\frac{5 x}{2}$

$A: B \Rightarrow 3 x: \frac{5 x}{2}$

$A: B=6: 5$

$\therefore B$ 's share $=\frac{5}{11} \times 1650$

$=Rs. 750$

Standard 13

Quantitative Aptitude

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