Mr. Lal investesd Rs.30,000 in Company A under Scheme II which offers simple interest and Rs.48,000 in Company D under Scheme II which offers compound interest. What will be the total amount of interest earned by Mr. Lal in two years ?

Rate of interest in company A under scheme II = 9.5 %

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

= $$\frac{30,000 \times 9.5 \times 2}{100}$$

= Rs. $$5,700$$

Rate of interest in company A under scheme IV = 9 %

Compound interest = $$P [(1 + \frac{R}{100})^T - 1]$$

= $$48,000 [(1 + \frac{9}{100})^2 - 1]$$

= $$48,000 (\frac{11881}{10000} - 1)$$

= $$48,000 \times \frac{1881}{10000} = 9,028.80$$

$$\therefore$$ Total interest = Rs. $$(5,700 + 9,028.80)$$

= Rs. $$14,728.80$$