Multiple choice

A sum of money has been distributed among four friends in such a way that the proportion of shares is 1 : 2 : 3 : 8. If the third friend gets Rs. 300 less than the fourth friend gets, then find the second friend's share.

  1. Rs. 120

  2. Rs. 54.40

  3. Rs. 50

  4. Rs. 20

  5. Rs. 24
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A Correct answer
Explanation

Let the shares be 1k, 2k, 3k, 8k. The difference between the third and fourth friend is 8k - 3k = 5k = 300, so k = 60. The second friend's share is 2k = 2(60) = 120.

AI explanation

Using the given ratio 1 : 2 : 3 : 8, the difference between the shares of the fourth and third friend is 8 minus 3, which equals 5 ratio units. Since this difference is Rs. 300, one ratio unit equals Rs. 60. The second friend's share represents 2 ratio units, so multiplying 2 by 60 gives the second friend's share of Rs. 120.

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