A sells an article to B making a profit of frac{1}{5}^{t h} his outlay. B sells it to C, gaining 20

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7.Profit and Loss

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A sells an article to $B$ making a profit of $\frac{1}{5}^{t h}$ his outlay. $B$ sells it to $C,$ gaining $20 \%$. If $C$ sells it for $Rs.\, 600$ and incurs a loss of $\frac{1}{6}^{t h}$ his outlay, the cost price of $A$ is (in $Rs.$)

A

$600$

B

$500$

C

$720$

D

$800$

Solution

Let, the $C.P.$ of $A$ be $₹ x$

Now, according to the question,

$x \times\left(1+\frac{1}{5}\right) \times \frac{120}{100} \times\left(1-\frac{1}{6}\right)=₹ 600$

$\Rightarrow \quad x \times \frac{6}{5} \times \frac{6}{5} \times \frac{5}{6}=600$

$\Rightarrow x=\frac{600 \times 5}{6}=Rs. 500$

Standard 13

Quantitative Aptitude

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