Puneet lent out Rs 30000 in two parts, one at 5% and the other at 9% interest. The yearly average interest comes out to be 6%. What are the amounts (in Rs) that are lent at 5% and 9% respectively?

Let sum lent for 5% = Rs. $$100x$$ and sum lent for 9% = Rs. $$(30,000-100x)$$

Time period = 1 year and rate of interest = 6%

=> Simple interest = $$\frac{P\times R\times T}{100}$$

= $$\frac{30,000\times6\times1}{100}=Rs.$$ $$1800$$

According to ques,

=> $$\frac{100x\times5\times1}{100}+\frac{(30000-100x)\times9\times1}{100}=1800$$

=> $$5x+(300-x)\times9=1800$$

=> $$5x+(9\times300)-9x=(6\times300)$$

=> $$-4x=300(6-9)$$

=> $$x=\frac{300\times3}{4}=225$$

$$\therefore$$ Amount lent at 5% = $$100\times225=Rs.$$ $$22,500$$

Amount lent at 9% = $$(30,000-22,500)=Rs.$$ $$7,500$$

=> Ans - (B)