A sold a pen to B at a profit of 20%, B sold same pen to C for Rs.,75 thereby making a profit of 25

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7.Profit and Loss

hard

A sold a pen to $B$ at a profit of $20\%,$ $B$ sold the same pen to $C$ for $Rs.\,75$ thereby making a profit of $25 \% .$ Find the price at which A bought the pen? (in $Rs.$)

A

$20$

B

$42$

C

$50$

D

$64$

Solution

Here, $B$ sold pen to $C$ at $25\%$ profit for $Rs.\,75$

Thus, $( CP$ for $B )=$ $Rs.$ $\frac{75}{1.25}= Rs.\,60$

Now since $A$ sold to $B$ at $20 \%$ profit,

$A'$s cost price $\times(1+0.2)=60$

$A ^{\prime} s$ cost price $=\frac{60}{1.2}= Rs .50$

Standard 13

Quantitative Aptitude

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