A shopkeeper sells 25 articles at Rs. 45 per article after giving 10% discount and earns 50% profit. If the discount is not given, the profit gained is = ?
A. 60%
B. $$60\frac{2}{3}$$%
C. 66%
D. $$66\frac{2}{3}$$%
E. None of these
Answer: Option D
Solution(By Examveda Team)
Selling price of 1 article = Rs. 45Let marked price of each article be Rs. x
Then,
$$\eqalign{ & \frac{{90}}{{100}}x = 45 \cr & x = {\text{Rs}}{\text{.}}\left( {\frac{{45 \times 100}}{{90}}} \right) \cr & \,\,\,\,\,\, = {\text{Rs}}{\text{. 50}} \cr & {\text{CP}} = {\text{Rs}}{\text{.}}\left( {\frac{{100}}{{150}} \times 45} \right) \cr & \,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. 30}} \cr} $$
When no discount is given,
Cost price = Rs. 30,
Selling price = Rs. 50
∴ Required profit %
$$\eqalign{ & = \left( {\frac{{20}}{{30}} \times 100} \right)\% \cr & = 66\frac{2}{3}\% \cr} $$
Related Questions on Profit and Loss
A. 45 : 56
B. 45 : 51
C. 47 : 56
D. 47 : 51
A. Rs. 2600
B. Rs. 2700
C. Rs. 2800
D. Rs. 3000
A. A neither losses nor gains
B. A makes a profit of 11%
C. A makes a profit of 20%
D. B loses 20%
A. Rs. 3,750
B. Rs. 3,250
C. Rs. 2,750
D. Rs. 2,250
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