Question

A man invests an amount of Rs. 15860 in the names of his three sons A, B and C in such a way that they get the same amount after 2, 3 and 4 years respectively. If the rate of simple interest is 5% then the ratio of amounts invested among, A, B and C will be:

• A. 10 : 15 : 20
• B. 22 : 23 : 24
• C. 6 : 4 : 3
• D. 2 : 3 : 4

Answer 1

The correct option is C 6 : 4 : 3

Let the amounts invested be x,y,z respectively

$Then,\frac{x\times 2\times 5}{100}=\frac{y\times 3\times 5}{100}=\frac{z\times 4\times 5}{100}=k$.

$\therefore x=10k,y=\frac{20}{3}k\&z=5k$

$So,x:y:z=10k:\frac{20}{3}k:5k$

= 30 : 20 : 15 = 6 : 4 : 3.