Multiple choice

A clerk was asked to give the refund amount of Rs. 129 to three students A, B and C in the ratio 14 : 12 : 17. Due to some miscalculation, money was divided in the ratio 20 : 12 : 11. Who got more money and by how much than asked (in Rs.)?

  1. A, 20

  2. A, 40

  3. A, 18

  4. A, 24

  5. A, 26
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total = 129. Original shares: A=42, B=36, C=51 (Ratio 14:12:17, sum=43). New shares: A=60, B=36, C=33 (Ratio 20:12:11, sum=43). A got 60 - 42 = 18 more.

AI explanation

The total parts in the initially intended ratio of 14 to 12 to 17 is 43, making A's intended share 14 divided by 43 of 129 rupees, which equals 42 rupees. The total parts in the actual distribution ratio of 20 to 12 to 11 is also 43, meaning A's actual share is 20 divided by 43 of 129 rupees, which equals 60 rupees. By comparing the two amounts, A received 60 minus 42 rupees more than intended. Therefore, A got more money by Rs. 18.

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