Question

    The selling price of a lighter and two candles is Rs.

    70. However, selling price of two lighters and one candle is Rs. 95. If each lighter is sold at 25% profit, then find the cost price of each lighter.
    A Rs. 40 Correct Answer Incorrect Answer
    B Rs. 32 Correct Answer Incorrect Answer
    C Rs. 20 Correct Answer Incorrect Answer
    D Rs. 24 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the selling price of each lighter be Rs. 'x' and selling price of each candle be Rs. 'y'. ATQ; 2y + x = 70 Or, x = 70 - 2y ...... (I) And, 2x + y = 95 ...... (II) Using equation (I) and (II), we have; 2 X (70 - 2y) + y = 95 Or, 140 - 4y + y = 95 Or, 45 = 3y So, y = 15 So, 2 X 15 + x = 70 So, x = 40 So, selling price of each lighter = Rs. 40 So, cost price of each lighter = 40 ÷ 1.25 = Rs. 32

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