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- Quantitative Aptitude
Ajit caculates his profit percentage on the selling price whereas Rohit calculates his on the cost price. They find that the difference of their profits is $Rs.\, 100.$ If the selling price of both of them are the same and both of them get $25\%$ profit, find their selling price? (in $Rs.$)
$1200$
$1500$
$1800$
$2000$
Solution
Suppose selling price of both of then be $Rs.$ $P.$
$CP$ of Ajit $=$ Rs. $p \left[\frac{100-25}{100}\right]= Rs \cdot \frac{3}{4} p$
($\%$ Profition $SP$)
$CP$ of Rohit $= Rs \cdot p \left[\frac{100}{100+25}\right]= Rs \cdot \frac{4}{5} p$
($\%$ Profit on $CP$ )
So, Ajit profit $= SP – CP = p -\frac{3}{4} p = Rs . \frac{ p }{4}$
Rohit profit $= SP – CP = p -\frac{4}{5} P = Rs . \frac{ P }{5}$
Difference of profit $=\frac{ p }{4}-\frac{ p }{5}= Rs .100( given )$
$=\frac{ P }{20}=100 \Rightarrow SP = p = Rs .2000$
