A person invests money in three different schemes for 6 years, 10 years and 12

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A person invests money in three different schemes for 6 years, 10 years and 12 years at 10 %, 12 %, and 15 %. Simple interest respectively. At the completion of each scheme, he gets the same interest. The ratio of his investments is

Options:

A . 2: 3: 4

B . 3: 4: 2

C . 3: 4: 6

D . 6: 3: 2

Answer: Option D

Let the required ratio be x: 1: y.
Then S.I on Rs x for 6 years at 10% p.a = S.I on re.1 10 years at 12 %p.a
X Ã— 10/100 Ã— 6 = 1 Ã— 12/100 Ã— 10
=> X = 120/60 =2
S.I on Re.1 for 10 years at 12 % p.a = S. I on Rs. Y for 12 years at 15 % p.a
Therefore, (1 x 12/100 x 10) = (y x 15/100 x 12)
=> y = 120/180 = 2/3
Required ratio = 2 : 1 = 2/3 = 6 : 3 : 2

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