Exams › SSC CGL (Prelims) › General

A total of ₹2200 is invested in three parts at 1%, 2%, and 3% per annum simple interest respectively. If the interest earned from each part after one year is equal, what is the sum invested at 3%?

1. ₹ 600
2. ₹ 800
3. ₹ 1200
4. ₹ 400

Correct answer: ₹ 400

Solution

If the interest from each part is equal after one year, then the principals are inversely proportional to the rates: \(P_1:P_2:P_3 = \frac{1}{1}:\frac{1}{2}:\frac{1}{3} = 6:3:2\). The total is 2200, so the 3% part is \(\frac{2}{11}\times 2200 = 400\).

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