Question
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
Answer: Option D
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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 × 10/100 × 6 = 1 × 12/100 × 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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