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A hawker sold some samosas in such a way that selling price of 76 samosas is the same as the cost price of 95 samosas. Find the profit percentage.
Question

A hawker sold some samosas in such a way that selling price of 76 samosas is the same as the cost price of 95 samosas. Find the profit percentage.

A.

19 Percent

B.

38 Percent

C.

24 Percent

D.

25 Percent

Correct option is D

Let the cost price of one samosa be C and the selling price of one samosa be S.
- According to the given information, the selling price of 76 samosas is the same as the cost price of 95 samosas. Therefore, we can write the equation:
76S = 95C
- Solving for the selling price in terms of the cost price:
S = (95/76)C
- The profit per samosa is the difference between the selling price and the cost price:
Profit per samosa = S - C = (95/76)C - C = ((95/76) - 1)C = (19/76)C
- The profit percentage is given by the formula:
Profit Percentage = (Profit per samosa / Cost price per samosa) × 100
- Substituting the value of the profit per samosa:
Profit Percentage = ((19/76)C / C) × 100 = (19/76) × 100 = 25%

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