Question

Rajan invests an amount of Rs. $15860$ in the names of his three sons Rohan, Sohan and Mohan 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 Rohan, Sohan and Mohan 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 by x, y, z respectively.
Then, $\frac{x\times 2\times 5}{100}=\frac{y\times 3\times 5}{100}=\frac{z\times 4\times 5}{100}=k$
$\therefore x=10k,y=\frac{20}{3}k,$ and z = 5k
So $x:y:z=10k$ : $\frac{20}{3}k$ : 5k
= 30 : 20 : 15 = 6 : 4 : 3