Calculate the amount and the compound interest on ₹ 15,000 for 2 years compounded annually, the rates of interest for successive years being 8% and 9% per annum respectively.

For first year :

P = ₹ 15,000

T = 1 year

R = 8%

I = $\dfrac{P \times R \times T}{100}$

$= \dfrac{15000 \times 8 \times 1}{100}$ = ₹ 1,200.

Amount = P + I = ₹ 15,000 + ₹ 1,200 = ₹ 16,200.

For second year :

P = ₹ 16,200

T = 1 year

R = 9%

I = $\dfrac{P \times R \times T}{100}$

$= \dfrac{16200 \times 9 \times 1}{100}$ = ₹ 1,458.

Amount = P + I = ₹ 16,200 + ₹ 1,458 = ₹ 17,658.

Compound interest = Final amount - Initial principal

= ₹ 17,658 - ₹ 15,000 = ₹ 2,658.

Hence, final amount = ₹ 17,658 and compound interest = ₹ 2,658.