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).
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