A dealer sold an article at 6% loss. Had he sold it for Rs. 64 more, he would have made a profit of 10%. Then the cost of the article is = ?
A. Rs. 400
B. Rs. 200
C. Rs. 164
D. Rs. 464
Answer: Option A
Solution(By Examveda Team)
Let the cost price of the article = Rs. 100xLoss% = 6%
$$\eqalign{ & {\text{SP}} = 100x \times \frac{{94}}{{100}} = {\text{Rs}}{\text{.}}\,94x \cr & {\text{If}}\,{\text{SP}}\,{\text{is}}\,{\text{Rs}}{\text{.}}\,{\text{64}}\,{\text{more,}} \cr & \Rightarrow {\text{New}}\,{\text{SP}} = {\text{Rs}}{\text{.}}\,\left( {94x + 64} \right) \cr & \Rightarrow {\text{Profit}}\% \cr & \frac{{\left( {94x + 64} \right) - 100x}}{{100x}} \times 100 = 10 \cr & \Rightarrow 64 - 6x = 10x \cr & \Rightarrow 10x + 6x = 64 \cr & \Rightarrow 16x = 64 \cr & \Rightarrow x = \frac{{64}}{{16}} \cr & \therefore x = 4 \cr & \therefore {\text{Cost}}\,{\text{Price}} = 100 \times 4 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,400 \cr} $$
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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