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The sum of the cost prices of three items was \(₹24,150\). The person sold the first item at a profit of \(72\%\), the second item at a profit of \(40\%\), and the third item at a profit of…

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The sum of the cost prices of three items was ₹24,150₹24,150. The person sold the first item at a profit of 72%72\%, the second item at a profit of 40%40\%, and the third item at a profit of 126%126\%. The total profit earned from the sale of these three items was ₹19,432₹19,432. If the cost price of the second item was ₹175₹175 more than what it actually was, then the ratio of the cost prices of the second and the third items, respectively, would have been 4:54 : 5. What was the difference (in Rs.) between the profits earned from the sale of the first and the second items?
  1. 6342
  2. 6442
  3. 6132
  4. 6272

Answer and explanation

Correct answer: D - 6272
Let CPs be a, b, c: a + b + c = 24150; 0.72a + 0.4b + 1.26c = 19432; (b + 175)/c = 4/5. Solving gives b = 5425, c = 7000, a = 11725. Profit1 = 0.72 x 11725 = 8442; profit2 = 0.4 x 5425 = 2170; difference = 6272.

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