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A man borrows Rs 30000 at …

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A man borrows Rs 30000 at 12% per annum compound interest from a bank and promises to pay off the loans in 20 installments beginning at the end of first year. What is the annual payment necessary?
  • 1 answers

Preeti Dabral 1 year, 11 months ago

{tex}\begin{aligned} & \text { We know } \mathrm{V}=\frac{\mathrm{A}}{\mathrm{r}}\left[1-(1+\mathrm{r})^{-\mathrm{n}}\right] \\ & \text { Thus } 30000=\frac{\mathrm{A}}{0.12}\left[1-(1+0.12)^{-20}\right] \\ & \Rightarrow \mathrm{A}=\frac{30000 \times 0.12}{\left[1-(1+0.12)^{-20}\right]} \\ & \Rightarrow \mathrm{A}=\frac{3600}{\left[1-(1.12)^{-20}\right]} \\ & \Rightarrow \mathrm{A}=\text { Rs. } 4016.76 \end{aligned}{/tex}

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