Question

    A multi-store outlet sold 1375 items in a week earning 25% gain. The gain is also equal to the selling price of ‘Q’ number of items. What is the value of Q?

    A 250 Correct Answer Incorrect Answer
    B 325 Correct Answer Incorrect Answer
    C 225 Correct Answer Incorrect Answer
    D 275 Correct Answer Incorrect Answer

    Solution

    Gain per item = 25% of the cost price (C). Selling price (S) = 1.25C (cost price + 25% gain). Total gain for 1375 items = 25% of total cost. Given that this total gain equals the selling price of Q items-   Q×S =0.25× (1375 x C) Simplify using S = 1.25C   Q×1.25C =0.25×1375×C Q = (0.25×1375)/1.25 =275

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