Calculate the amount of ₹ 31,250 at the end of $2\dfrac{1}{2}$ years, compounded annually at 8% per annum.

For first year :

P = ₹ 31,250

T = 1 year

R = 8%

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

$= \dfrac{31250 \times 8 \times 1}{100}$ = ₹ 2,500.

Amount = P + I = ₹ 31,250 + ₹ 2,500 = ₹ 33,750.

For second year :

P = ₹ 33,750

T = 1 year

R = 8%

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

$= \dfrac{33750 \times 8 \times 1}{100}$ = ₹ 2,700.

Amount = P + I = ₹ 33,750 + ₹ 2,700 = ₹ 36,450.

For next $\dfrac{1}{2}$ year :

P = ₹ 36,450

T = $\dfrac{1}{2}$ year

R = 8%

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

$= \dfrac{36450 \times 8 \times \dfrac{1}{2}}{100}$

$= \dfrac{291600}{200}$ = ₹ 1,458.

Amount = P + I = ₹ 36,450 + ₹ 1,458 = ₹ 37,908.

Hence, final amount = ₹ 37,908.