Question

Divide Rs 3600 into two parts such that if one part be lent at 9% per annum and the other at 10% per annum, the total annum income is Rs 333.

Answer 1

$$\begin{gathered} \begin{array}{l}\text{Let the first part be Rs.}x.\\ \text{Second part}=(\text{36}00-x)\\ \therefore \text{S}.\text{I. on x at 9}\%\text{per annum for 1 years}=\frac{x\times 9\times 1}{100}=\frac{9x}{100}\\ \text{And, S}.\text{I. on}(\text{36}00-x)\text{at}\text{1}0\%\text{per annum =}\frac{(3600-x)\times 1\times \sout{1}{\sout{0}}^1}{10\sout{0}}=\frac{3600-x}{10}\\ \therefore \frac{9x}{100}+\frac{3600-x}{10}=333\\ =>\frac{9x+36000-10x}{100}=333\\ =>-x+36000=33300\\ =>-x=33300-36000\\ =>-x=-2700\\ =>x=2700\\ \text{First part = Rs}\text{. 2700}\end{array} \\ S\mathrm{econd\; part}=(\text{36}00-2700)=\text{Rs}\text{.}900 \end{gathered}$$