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7.Profit and Loss
medium
An electric pump was sold at a profit of $15 \% .$ Had it been sold.for $Rs.\, 600$ , the profit would have been $20 \% .$ The former selling price is in $Rs.?$
A
$500$
B
$540$
C
$575$
D
$600$
Solution
Old Profit $\%=\frac{15}{100}=\frac{( SP )_{1}- CP }{ CP }$$…(i)$
New Profit$\%$ $=\frac{20}{100}=\frac{( SP )_{2}- CP }{ CP }$ $…(ii)$
$=$ From $(ii),$ we get $C P=R s .500$ $\left[\right.$ Here $,( SP )_{2}=$ $Rs$. $\left.600\right]$
Divide $(i)$ and $(ii);$
$\frac{3}{4}=\frac{( SP )_{1}-500}{600-500}$
Hence, $( SP )_{1}=$ Former Selling price $= Rs .575$
Standard 13
Quantitative Aptitude
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