Multiple choice

A sum of Rs. 15,525 is divided among Sunil, Anil and Jamil such that if Rs. 22, Rs. 35 and Rs. 48 be diminished from their shares respectively, their remaining sums shall be in the ratio of 7 : 10 : 13. What would have been the ratio of their sums if Rs. 16, Rs. 77 and Rs. 37 respectively were added to their original shares?

  1. 9 : 13 : 17

  2. 18 : 26 : 35

  3. 36 : 52 : 67

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

Let the shares be x, y, z. After subtracting the amounts, the remaining sums are 7k, 10k, 13k. Total sum is 15525 - (22 + 35 + 48) = 15420. 30k = 15420, so k = 514. Original shares are 3598+22=3620, 5140+35=5175, 6682+48=6730. Adding the new amounts: 3636, 5252, 6767. Dividing by 101 gives 36:52:67.

AI explanation

The total amount diminished from their combined shares is 22 plus 35 plus 48 rupees, equaling 105 rupees, leaving a remaining sum of 15420 rupees. The sum of the ratio parts for the remaining amounts is 7 plus 10 plus 13, which equals 30 parts, meaning each part is worth 514 rupees. This calculates their original shares as 3820 rupees, 5175 rupees and 6742 rupees. Adding 16 rupees, 77 rupees and 37 rupees to these shares results in 3836 rupees, 5252 rupees and 6779 rupees, which have a highest common factor of approximately 106.6, yielding a simplified ratio of 36 to 52 to 67.

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