Pratibha invests an amount of Rs. 15,860 in the names of her three daughters

Pratibha invests an amount of Rs. 15,860 in the names of her three daughters
Posted on 23-04-2023

Ques - Pratibha invests an amount of Rs. 15,860 in the names of her three daughters A, B and C in such a way that they get the same interest after 2, 3 and 4 years respectively. If the rate of simple interest is 5% p.a., then the ratio of the amounts invested among A, B and C will be :

(a) 5 : 10 : 12

(b) (1/10) : (1/15) : (1/20) 

(c) 6 : 7 : 8

(d) 6 : 5 : 4

Solution - 

Given,

For A,

P = P1

T = 2 years

R = 5%

So,

S.I. = (P×R×T) / 100

S.I. = (P1 × 5 × 2) / 100

S.I. = 10P1/100

Now,

For B,

P = P2

T = 3 years

R = 5%

So,

S.I. = (P×R×T) / 100

S.I. = (P2 × 5 × 3) / 100

S.I. = 15P2/100

For C,

P = P3

T = 4 years

R = 5%

So,

S.I. = (P×R×T) / 100

S.I. = (P3 × 5 × 4) / 100

S.I. = 20P3 / 100

Thus,

10P1/100 = 15P2/100 = 20P3 / 100

10P1 = 15P2 = 20P3

P1 : P2 : P3 = (1/10) : (1/15) : (1/20) 

Therefore,

The ratio of the amounts invested among A, B and C will be (1/10) : (1/15) : (1/20).

Hence,

The correct answer is option (b) (1/10) : (1/15) : (1/20).

Thank You