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:

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Question:
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:

[A].

Rs. 1550

[B].

Rs. 1650

[C].

Rs. 1750

[D].

Rs. 2000

Answer: Option C

Explanation:

C.I.
= Rs. 4000 x 1 + 10 2 – 4000
100
= Rs. 4000 x 11 x 11 – 4000
10 10
= Rs. 840.
Sum = Rs. 420 x 100 = Rs. 1750.
3 x 8