Question:
A man invests Rs.\ 3,000 at the rate of 5% per annum. How much more should he invest at the rate of 8%, so that he can earn a total of 6% per annum?
A man invests Rs.\ 3,000 at the rate of 5% per annum. How much more should he invest at the rate of 8%, so that he can earn a total of 6% per annum?
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For weighted average rate problems, set up the total interest equation rather than guessing.
Updated On: Aug 6, 2025
- Rs.\ 1,200
- Rs.\ 1,300
- Rs.\ 1,500
- Rs.\ 2,000
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The Correct Option is C
Solution and Explanation
Step 1: Let extra investment = Rs.\ x at 8%.
Step 2: Total income at 6% rate
Interest from Rs.\ 3,000 at 5% = Rs.\ $3000 \times 0.05 = 150$.
Interest from Rs.\ x at 8% = Rs.\ $0.08x$.
Step 3: Equation for total at 6%
Average return: $\frac{150 + 0.08x}{3000 + x} = 0.06$.
Step 4: Solve for x
$150 + 0.08x = 0.06(3000 + x)$
$150 + 0.08x = 180 + 0.06x$
$0.02x = 30$ → $x = 1500$.
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