Exams › SSC CGL (Prelims) › General
A person invested a total sum of ₹4500 in three different schemes of simple interest at 3%, 4%, and 6% per annum. At the end of one year, he got the same interest from all three schemes. What was the amount (in ₹) invested at 4%?
- ₹ 1000
- ₹ 1500
- ₹ 2000
- ₹ 1200
Correct answer: ₹ 1500
Solution
Since the interest for 1 year is the same in all three schemes, the invested amounts are inversely proportional to the rates. Thus the ratio of investments is $\frac{1}{3}:\frac{1}{4}:\frac{1}{6} = 4:3:2$. The total 9 parts correspond to ₹4500, so 1 part = ₹500 and the amount at 4% is 3 parts = ₹1500.
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