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7.Profit and Loss
hard
A shopkeeper sold some articles at $Rs.\,35$ per piece and gained $40 \% .$ What would be the selling price of each article to earn $60 \%$ profit? (in $Rs.$)
A
$40$
B
$45$
C
$50$
D
None of these
Solution
In the first case, we have, $S.P.$ $=Rs. 35$ and gain $\%$ $=40 \%$
$\therefore \quad C \cdot P =\left(\frac{100}{100+\operatorname{Gain} \%}\right) \times S \cdot P$
$=\left(\frac{100}{100+40}\right) \times 35$
$=\frac{100}{140} \times 35=Rs 25$
In the second case, $C . P. =₹ 25$ and $\operatorname{gain} \%=60 \%$
$\therefore \quad$ S.P. $=\left(\frac{100+\operatorname{Gain} \%}{100}\right) \times C . P$
$=\left(\frac{100+60}{100}\right) \times 25$
$=\frac{160}{100} \times 25=Rs. 40$
Standard 13
Quantitative Aptitude
