- Home
- Standard 13
- Quantitative Aptitude
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
