A certain sum amounts to ₹12096 at 8% p.a. in $$5\frac{1}{2}$$ years at simple interest. What will be the simple interest on the same sum at 10% p.a. in 8 years?

A certain sum amounts to ₹12096 at 8% p.a. in $$5\frac{1}{2}$$ years at simple interest.

$$12096=P+\ \frac{P\times\ R\times\ T}{100}$$

Here P = principal amount, R = rate of interest, T = time.

$$12096=P+\ \frac{P\times\ 8\times\ 11}{100\times\ 2}$$

$$12096=P+\ \frac{11P}{25}$$

$$12096=\frac{36P}{25}$$

$$336=\frac{P}{25}$$

Simple interest on the same sum at 10% p.a. in 8 years = $$\frac{8400\times\ 10\times\ 8}{100}$$

= $$84\times\ 10\times\ 8$$

= ₹6720