Multiple choice

Rs. 1210 was divided among X, Y and Z. Had X received Rs. 10 less, the ratio of the shares of X,Y and Z would have been 3:4:5. Find X's share (in Rs.) ?

  1. 300

  2. 320

  3. 310

  4. 330

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

If X received 10 less, total = 1200. Ratio 3:4:5 means 12 parts = 1200, so 1 part = 100. X's share in that scenario = 300. Actual X's share = 300 + 10 = 310.

AI explanation

Let the initial shares of X, Y and Z be such that (X - 10), Y and Z are in the ratio 3:4:5. Let these values be 3k, 4k and 5k, making the total 12k. Because the total sum is Rs. 1210, the new sum after deducting Rs. 10 from X is 1200, so 12k = 1200 and k = 100. X's reduced share is 3k = 300, so X's original share was 300 + 10 = Rs. 310.

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