A shopkeeper sold some articles at Rs.,35 per piece and gained 40 % . What would be selling price of

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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 $Rs.$)

$40$

$45$

$50$

None of these

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

hard

medium

easy

medium

medium