NIMCET 2026 — Reasoning PYQ

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Question

NIMCET 2026 — Reasoning PYQ

NIMCET | Reasoning | 2026

Rajan invests an amount of INR 15,860 in the names of his three sons Rohan, Sohan and Mohan in such a way that they get the same interest amount after two, three and four years respectively. If the rate of simple interest is 5% then the ratio of amounts invested among Rohan, Sohan and Mohan will be:

Choose the correct answer:

Explanation

To solve this problem, we need to equate the simple interest earned by each son. Let the amounts invested for Rohan, Sohan, and Mohan be $P_{1}, P_{2},$ and $P_{3}$ respectively.

1. Recall the Simple Interest formula:

The formula for Simple Interest is:

$S I = \frac{P \times R \times T}{100}$

2. Set up the equation:

We are given that the interest received is the same for all three sons, and the rate ( $R$ ) is $5%$ for all. Let $T_{1} = 2$ years, $T_{2} = 3$ years, and $T_{3} = 4$ years.

$\frac{P _{1} \times 5 \times 2}{100} = \frac{P _{2} \times 5 \times 3}{100} = \frac{P _{3} \times 5 \times 4}{100}$

3. Simplify the equation:

Since the rate ( $5$ ) and the denominator ( $100$ ) are common to all parts, they cancel out:

$2 P_{1} = 3 P_{2} = 4 P_{3}$

4. Determine the ratio:

To find the ratio $P_{1} : P_{2} : P_{3}$ , we find the Least Common Multiple (LCM) of the coefficients $2, 3,$ and $4$ , which is $12$ . Now, divide the entire equation by $12$ :

$\frac{2 P _{1}}{12} = \frac{3 P _{2}}{12} = \frac{4 P _{3}}{12}$

This simplifies to:

$\frac{P _{1}}{6} = \frac{P _{2}}{4} = \frac{P _{3}}{3}$

Thus, the ratio $P_{1} : P_{2} : P_{3}$ is 6 : 4 : 3.

Correct Answer: Option 3