Multiple choice

A, B and C invested amounts in the ratio 3 : 4 : 5, respectively. If the schemes offered compound interest at the rate of 20% per annum, 15% per annum and 10% per annum, respectively, then what will be the ratio of their amounts after 1 year?

  1. 3 : 15 : 25

  2. 6 : 6 : 5

  3. 36 : 46 : 55

  4. 12 : 23 : 11

  5. N/A
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial amounts are 3x, 4x, 5x. After 1 year with compound interest: A = 3x(1.20) = 3.6x, B = 4x(1.15) = 4.6x, C = 5x(1.10) = 5.5x. Ratio = 3.6 : 4.6 : 5.5 = 36 : 46 : 55.

AI explanation

Let the invested amounts for A, B, and C be 300, 400, and 500 respectively, based on the 3:4:5 ratio. After one year, their amounts become 300 * 1.20 = 360, 400 * 1.15 = 460, and 500 * 1.10 = 550. The ratio of these final amounts is 360 : 460 : 550. Dividing the entire ratio by 10 gives the simplified ratio of 36 : 46 : 55.

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