The cost price of 25 items is the same as the selling price of 20 items. Find the gain per cent.
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A.
0.4
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B.
0.3
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C.
0.5
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D.
0.25
Correct Answer:
D. 0.25
Explanation:
To determine the gain percentage when the cost price (CP) of 25 items equals the selling price (SP) of 20 items, follow these steps: - Assume the cost price of 1 item is 1 unit. Therefore, the CP of 25 items is 25 units. - According to the problem, the SP of 20 items is equal to the CP of 25 items, which is 25 units. - To find the profit, we need to compare the SP and CP for the same number of items. The CP of 20 items is 20 units. - Calculate the profit on these 20 items: Profit = SP - CP = 25 - 20 = 5 units. - Calculate the gain percentage using the formula (Profit / CP) \* 100. - Gain Percentage = (5 / 20) \* 100 = 25%.Final Answer: The gain percentage is 25%.
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