What is the rate of simple interest for… - CUET UG 2025 General Test PYQ

CUET UG 2025 — General Test Arithmetic

2025mcqmedium

What is the rate of simple interest for the last 5 years if the sum of ₹ 480 becomes ₹ 792 in 11 years and the rate of interest for the first 6 years is 5%?

Official previous-year question

Held on 29 May 2025 · Verified 13 Jul 2026.

Options

A
5%
B
4%
C
7%
D
6%

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Solution

Given:

Principal = ₹480
Final amount after 11 years = ₹792
Total time = 11 years (First 6 years at 5%, Last 5 years at unknown rate)

Total Simple Interest = Final Amount - Principal

Total Simple Interest = ₹792 - ₹480

Total Simple Interest = ₹312

For the first 6 years, using Simple Interest formula $SI = \frac{P \times R \times T}{100}$ :

$SI_1 = \frac{480 \times 5 \times 6}{100}$

$SI_1 = \frac{14400}{100}$

$SI_1 = ₹144$

Interest for last 5 years = Total Interest - Interest for first 6 years

$SI_2 = ₹312 - ₹144$

$SI_2 = ₹168$

For the last 5 years:

Interest = ₹168
Principal = ₹480
Time = 5 years

Using $SI = \frac{P \times R \times T}{100}$ :

$168 = \frac{480 \times R \times 5}{100}$

$168 = \frac{2400 \times R}{100}$

$168 = 24R$

$R = \frac{168}{24}$

$R = 7\%$

Therefore, the rate of interest for the last 5 years is 7%.

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