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    Question

    The cost price of 27 headsets equals the selling price

    of 18 headsets. The ratio of the cost price of a headset to a cover is 9:8. The total selling price of 9 headsets and 9 covers is Rs.2250. Each cover is sold at a 12.5% profit. Find the cost price of one headset.
    A Rs.350 Correct Answer Incorrect Answer
    B Rs.100 Correct Answer Incorrect Answer
    C Rs.240 Correct Answer Incorrect Answer
    D Rs.365 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    27a = 18b β†’ a/b = 2/3 CP = 2x SP = 3x CP cover = 2x Γ— 8/9 = 16x/9 SP cover = 16x/9 Γ— 112.5/100 = 2x 9Γ—3x + 9Γ—2x = 27x + 18x = 45x = 2250 x = 2250/45 = 50 CP of one headset = 2x = Rs.100

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