Discussion of Question with ID = 052 under Profit-and-Loss

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Question

A profit of 50%, as calculated on the cost price, is made by selling an item for Rs. 39. What is the profit in rupees?

A

Rs. 13.

B

Rs. 14.

C

Rs. 12.

D

Rs. 15.

Soln.
Ans: a

If cost is C, profit is P% and sale is S, then we know that C = $S/(1 + P/100)$. So the profit in rupees would be S - C = S - $S/(1 + P/100)$, which simplifies to ${S × P}/{100 + P}$, which is ${39 × 50}/{100 + 50}$ = Rs. 13.

Shortcut Method: If sale is 150, profit is Rs. 50. So if sale is 39, profit = Rs. $50/150$ × 39 = Rs. 13.


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