# The 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 **

__Solution(By Examveda Team)__

$$\eqalign{
& {\text{C}}{\text{.I}}{\text{.}} \cr
& {\text{ = Rs}}{\text{.}}\left[ {4000 \times {{\left( {1 + \frac{{10}}{{100}}} \right)}^2} - 4000} \right] \cr
& = {\text{ Rs}}{\text{.}}\left( {4000 \times \frac{{11}}{{10}} \times \frac{{11}}{{10}} - 4000} \right) \cr
& = {\text{Rs}}{\text{. 840}} \cr
& \therefore {\text{Sum = Rs}}{\text{.}}\left( {\frac{{420 \times 100}}{{3 \times 8}}} \right) \cr
& = {\text{Rs}}{\text{. }}1750 \cr} $$
Related Questions on Compound Interest

A. Rs. 120

B. Rs. 121

C. Rs. 122

D. Rs. 123

E. None of these

A. 625

B. 630

C. 640

D. 650

E. None of these

A. Rs. 2160

B. Rs. 3120

C. Rs. 3972

D. Rs. 6240

E. None of these

A. Rs. 2.04

B. Rs. 3.06

C. Rs. 4.80

D. Rs. 8.30

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