A man sells two commodities for Rs. 4000 each, neither losing nor gaining in the deal. If he sold one commodity at a gain of 25%, the other commodity is sold at a loss of = ?
A. $$16\frac{2}{3}\% $$
B. $$18\frac{2}{9}\% $$
C. 25%
D. None of these
Answer: Option A
Solution(By Examveda Team)
Total S.P. = Rs. 8000 andTotal C.P. = Rs. 8000
S.P. of 1st commodity = Rs. 4000
Gain on it = 25%
∴ C.P. of 1st commodity
$$\eqalign{ & = {\text{Rs}}.\left( {\frac{{100}}{{125}} \times 4000} \right) \cr & = {\text{Rs}}.3200 \cr & {\text{C}}{\text{.P}}{\text{. of }}{{\text{2}}^{{\text{nd}}}}{\text{ commodity}} \cr & = {\text{Rs}}{\text{.}}\left( {8000 - 3200} \right) \cr & = {\text{Rs}}.4800 \cr & {\text{S}}{\text{.P}}{\text{. of }}{{\text{2}}^{{\text{nd}}}}{\text{ commodity}} \cr & = {\text{Rs}}.4000 \cr & \therefore {\text{loss on }}{{\text{2}}^{{\text{nd}}}}{\text{ commodity}} \cr & = \left( {\frac{{800}}{{4800}} \times 100} \right)\% \cr & = 16\frac{2}{3}\% \cr} $$
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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