A shopkeeper buys a toy at Rs.,100 and sells it at Rs. 125 . Another shopkeeper buys same toy at Rs.

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7.Profit and Loss

hard

A shopkeeper buys a toy at $Rs.\,100$ and sells it at $Rs.$ $125 .$ Another shopkeeper buys the same toy at $Rs.\, 125$ but sells it at $Rs.$ $100 .$ What are the respective profit and loss percentages for the two shopkeepers.

A

$20 \%, 20 \%$

B

$25 \%, 20 \%$

C

$25 \%, 25 \%$

D

$25 \%, 16.67 \%$

Solution

Case $-1:$ Here, $C P=R s .100, S P=R s .125$

Profit of $1$ st shopkeeper $=25 \%$

Case $- 2$ Here, $CP = Rs. 125, SP = Rs. 100$

Loss of $2 nd$ shopkeeper $=\left(\frac{125-100}{125}\right) \times 100 \%=20 \%$

Standard 13

Quantitative Aptitude

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