Aman lent Rs 21600 to Sangram for 3 years and Rs 15000 to Pramod for 2 years on simple interest at the same rate of interest and received Rs 2844 in all from both of them as interest. The rate of interest per annum is:
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3.5%
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4%
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3%
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4.5%
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None of these
C
Correct answer
Explanation
Using SI = PRT/100 for both loans: For Sangram: 21600 x R x 3 / 100 = 648R. For Pramod: 15000 x R x 2 / 100 = 300R. Total interest = 648R + 300R = 948R = 2844. Solving: R = 2844/948 = 3. The rate is 3% per annum. The key is adding the interest amounts and solving for the common rate R.