Multiple choice

Rs 1210 was divided among P, Q and R. Had P received Rs 10 less, the ratio of the shares of P, Q and R would have been 3:4:5. Find the share of P?

  1. 310

  2. 300

  3. 290

  4. None of these
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A Correct answer
Explanation

Total amount = 1210. If P received 10 less, total = 1200. Ratio 3:4:5 means parts are 3x, 4x, 5x. 3x+4x+5x = 1200 => 12x = 1200 => x = 100. P's share (adjusted) = 3 * 100 = 300. P's actual share = 300 + 10 = 310.

AI explanation

If P received 10 less, the total amount would become 1210 minus 10, which is 1200. The new ratio of shares for P, Q and R is 3 to 4 to 5, making the equation 3x plus 4x plus 5x equals 1200. Solving gives 12x equals 1200, so x equals 100. The new share of P is 3x, which is 300, meaning his actual share was 300 plus 10. P received 310.

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