A) Rs. 4500
B) Rs. 5000
C) Rs. 5500
D) Rs. 6000
Correct Answer: B
Solution :
[b] Let the money borrowed be Rs. x. Interest paid by the money lender \[=\text{Rs}.\left( x\times \frac{4}{100}\times 1 \right)=\text{Rs}.\frac{x}{25}\] Interest received by the money lender \[=\text{Rs}.\,\left[ x\times {{\left( 1+\frac{3}{100} \right)}^{2}}-x \right]\] \[=\text{Rs}.\left( x\times \frac{103}{100}\times \frac{103}{100}-x \right)=\text{Rs}.\frac{609x}{10000}\] Gain \[=\text{Rs}.\,\left( \frac{609x}{10000}-\frac{x}{25} \right)\] \[=\text{Rs}.\,\frac{209x}{10000}\] \[\therefore \] \[\frac{209}{10000}x=104.50\] \[\Rightarrow \] \[209x=104.50\times 10000\] \[\Rightarrow \] 209x = 1045000 \[\Rightarrow \] \[x=\frac{1045000}{209}=\text{Rs}\text{.}\,\,5000.\] Thus, he borrows Rs. 5000. |
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