Question
The ratio of the selling prices of two articles, A and
B, is 3:4. Article A is sold at a profit of Rs. 540, and article B is sold at a loss of 10%. If the difference between the cost prices of the two articles is Rs. 1,080, find the cost price of article A.Solution
Let the selling prices of articles A and B be 3x and 4x, respectively. Cost price of article A = 3x - 540. Cost price of article B = 4x × 90/100 = 3.6x. According to the question: (3x - 540) - 3.6x = 1080. 3x - 3.6x - 540 = 1080. -0.6x = 1620. x = 1620 / 0.6 = 2700. Cost price of article A = 3x - 540 = 3(2700) - 540 = 8100 - 540 = 7560. Correct answer: c. 7560
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