Question

    Find the cost price of the digital watch for the shopkeeper if he initially marked it at 80% above the cost price and later offered two successive discounts of 15% and 20%. After these discounts, 'X' spent Rs. 164 on repairing the digital watch and then sold it to 'Y' for Rs. 2400, resulting in a 20% profit for X. Determine the original cost price of the digital watch for the shopkeeper.

    A Rs.1550 Correct Answer Incorrect Answer
    B Rs.1525 Correct Answer Incorrect Answer
    C Rs.1545 Correct Answer Incorrect Answer
    D Rs.1500 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    We can say that cost price of the digital watch for shopkeeper be Rs.'100a' So,  (1.8 × 0.85 × 0.80 × 100a) = (2400/1.2) – 164 = 1836 122.4a = 1836 a = 15 So, cost price of the digital watch for shopkeeper = Rs.1500

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