# Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:

$\\ \text{Principle} =\operatorname{Rs} 4000 \ time =2 year \ Rate =10 \% \\ Compound interest = P \times(1+r)^{n}- P \\ I = P \left\{( 1 + r )^{ n }- 1 \right\} \\ I=4000(1+.10)^{2}-1 \\ I =4000(1.21-1) \\ I =840 \\ AS per question, Simple interest =840 / 2=420= PRT / 100 \\ SO , I =420= P \times 0.08 \times 3 \\ I =1750 Rs \\ Answer (C) 1750 Rs$

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