The marked price of 42 items was equal to the cost price of 70 items. The selling price of 25 items was equal to the marked
price of 21 items. Calculate the percentage profit or loss from the sale of each item.
This questions was previously asked in
SSC CHSL 1st June 2022 Shift-2
42% profit
Incorrect Answer29% profit
Incorrect Answer29% loss
Incorrect Answer40% profit
Correct AnswerExplanation:
- Given:
- Marked price (MP) of 42 items = Cost price (CP) of 70 items.
- Selling price (SP) of 25 items = MP of 21 items.
- To Find:
- Percentage profit or loss from each item.
- Calculations:
- Let the CP of each item be x.
- Total CP of 70 items = 70x.
- Marked price for 42 items = 70x, so MP of 1 item = (70/42)x = (5/3)x.
- From the selling price information, SP of 25 items = MP of 21 items.
- Substituting the MP calculated above: 25(SP) = 21(5/3)x, so SP of 1 item = (21*5/75)x = (7/5)x.
- Profit Calculation:
- Profit per item = SP - CP = (7/5)x - x = (2/5)x.
- Percentage profit = [(Profit/CP) * 100] = [(2/5)x / x] * 100 = 40%.
- Correct Answer: Option: 4, 40% profit
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By: santosh