Abhishek makes a profit of Rs.,110, if he sells a certain number of pens he has at price of Rs., 2.5

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7.Profit and Loss

hard

Abhishek makes a profit of $Rs.\,110,$ if he sells a certain number of pens he has at the price of $Rs.\, 2.5$ per pen and incurs a loss of $Rs.$ $55,$ if he sells the same number of pens for $Rs.$ $1.75$ per pen. How many pens does Abhishek have?

A

$220$

B

$240$

C

$200$

D

Cannot be determined

Solution

Let the no. of pens be $x$.

The $CP$ of pens is same in both transaction cases.

$( CP )_{1}=( CP )_{2}$

$( SP )_{1}-$ Profit $=( SP )_{2}+$ Loss $…(i)$

Given $( SP )_{1}= Rs .2 .5($ For $1 pen )= Rs .2 .5 x ($ For $\times$ pens $)$

Profit $= Rs .110$

Similarly, $( SP )_{2}= Rs .1 .75 x$

Loss $=$ $Rs. 55$

Applying values in $(i)$

$2.5 x-110=1.75 x+55$

On solving, $x=220$ pens.

Standard 13

Quantitative Aptitude

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