A shopkeeper purchases two items for Rs. 520. One of them is sold gaining 16% and the other at a loss of 10%, thus making no profit or loss. What is the selling price of the item sold at loss ?
A. Rs. 288
B. Rs. 232
C. Rs. 320
D. Rs. 200
Answer: Option A
Solution(By Examveda Team)
Let the price of 1st item is xThen for 2nd 520 - x
Profit and loss of both items are same
Then,
$$\eqalign{ & \frac{{x \times 16}}{{100}} - \frac{{\left( {520 - x} \right) \times 10}}{{100}} = 0 \cr & \Rightarrow 16x = \left( {520 - x} \right)10 \cr & \Rightarrow 26x = 5200 \cr & \Rightarrow x = 200 \cr & {\text{CP}} = 520 - 200 \cr & \,\,\,\,\,\,\,\,\,\,\, = 320 \cr & {\text{SP}} = 320 \times \frac{{90}}{{100}} \cr & \,\,\,\,\,\,\,\,\,\, = 288 \cr} $$
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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