By selling an article at some price, a man gains 10% . If the article is sold at twice of the price, the gain percent will be -
A. 20%
B. 60%
C. 100%
D. 120%
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {\text{Let C}}{\text{.P}}{\text{.}} = {\text{Rs}}.\,x. \cr & {\text{Then,}} \cr & {\text{S}}{\text{.P}}{\text{.}} = 110\% {\text{ of Rs}}.\,x. \cr & = {\text{Rs}}.\frac{{11x}}{{10}} \cr & {\text{New S}}{\text{.P}}{\text{.}} = {\text{Rs}}.\left( {2 \times \frac{{11x}}{{10}}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}.\frac{{11x}}{5} \cr & {\text{Gain}} = {\text{Rs}}.\left( {\frac{{11x}}{5} - x} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}.\frac{{6x}}{5} \cr & \therefore {\text{Gain}}\% = \left( {\frac{{6x}}{5} \times \frac{1}{x} \times 100} \right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 120\% \cr} $$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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