Question 110
The profit earned after selling an article for Rs. 1,516 is the same as loss incurred after selling the article for Rs. 1,112. What is the cost price of the article ?
Solution
Let C.P. = $$Rs. x$$
Case 1 : If S.P. = $$Rs. 1,516$$
=> Profit = $$S.P. - C.P. = (1516 - x)$$
Case 2 : If S.P. = $$Rs. 1,112$$
=> Profit = $$C.P. - S.P. = (x - 1112)$$
Acc. to ques, => $$1516 - x = x - 1112$$
=> $$2x = 1516 + 1112 = 2628$$
=> $$x = \frac{2628}{2} = Rs. 1,314$$
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