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    Question

    A watch and a calculator were purchased with their cost

    prices in a ratio of 2:1, respectively. The calculator was sold at a 25% loss, and the watch was sold at a 40% profit. The combined transactions resulted in an overall profit of Rs. 110 for the shopkeeper. Calculate the original cost price of the watch.
    A Rs. 200 Correct Answer Incorrect Answer
    B Rs. 300 Correct Answer Incorrect Answer
    C Rs. 400 Correct Answer Incorrect Answer
    D Rs. 350 Correct Answer Incorrect Answer
    E Rs. 360 Correct Answer Incorrect Answer

    Solution

    Let the cost price of the watch and the calculator be Rs. ‘2x’ and Rs. ‘x’, respectively. Selling price of the watch = 2x × 1.4 = Rs. ‘2.8x’ Selling price of the calculator = x × 0.75 = Rs. ‘0.75x’ ATQ; (2.8x + 0.75x) – (2x + x) = 110 Or, 3.55x – 3x = 110 Or, 0.55x = 110 So, x = 200 So, cost price of the watch = 200 × 2 = Rs. 400 Hence, option b. 

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