Rs. 6000 amounts to Rs. 7986 in 3 years at CI. The rate of interest is :

Rs. 6000 amounts to Rs. 7986 in 3 years at CI. The rate of interest is :
Posted on 28-04-2023

Ques - Rs. 6000 amounts to Rs. 7986 in 3 years at CI. The rate of interest is :

(a) 20%

(b) 10%

(c) 6%

(d) 7.5%

Solution - 

Given,

A = 7986

P = 6000

T = 3 years

R = ?

A = P (1 + (r/100))n

7986 = 6000 (1 + (r/100))3

7986 / 6000 = (1 + (r/100))3

1.331 = (1 + (r/100))3

(1.331)1/3 = (1 + (r/100))

1.1 = (100 + r) / 100

1.1 × 100 = 100 + r

110 - 100 = r

r = 10

Therefore,

The rate of interest is 10%.

Hence,

The correct answer is option (b) 10%.

Thank You