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.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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