IGDTUW 2025 — Reasoning PYQ

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Question

IGDTUW 2025 — Reasoning PYQ

IGDTUW | Reasoning | 2025

A man takes a Rs. 8000 loan from the bank with a certain rule. The bank rate for the first 5 years is 6%, for the next 3 years is 8%, and for the next 8 years is 10%. Find how much interest will the man return in 12 years with simple interest:

Choose the correct answer:

Explanation

The formula for Simple Interest ( $S I$ ) is:

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

Given the principal amount $P = R s .8000$ . Since the interest rate is variable, we calculate the interest for each period separately within the 12-year timeframe.

1. Interest for the first 5 years:

$T_{1} = 5$ years, $R_{1} = 6%$
$S I_{1} = \frac{8000 \times 6 \times 5}{100} = 80 \times 30 = R s .2400$

2. Interest for the next 3 years:

$T_{2} = 3$ years, $R_{2} = 8%$
$S I_{2} = \frac{8000 \times 8 \times 3}{100} = 80 \times 24 = R s .1920$

3. Interest for the remaining years:

The total duration is 12 years. We have accounted for $5 + 3 = 8$ years. The remaining time is $12 - 8 = 4$ years.

$T_{3} = 4$ years, $R_{3} = 10%$
$S I_{3} = \frac{8000 \times 10 \times 4}{100} = 80 \times 40 = R s .3200$

4. Total Interest:

$Total S I = S I_{1} + S I_{2} + S I_{3}$

$Total S I = 2400 + 1920 + 3200 = R s .7520$

Conclusion:

The total interest the man will return in 12 years is Rs. 7520. The correct option is (c).