A sum of money becomes thrice of itself… - CUET UG 2025 General Test PYQ

CUET UG 2025 — General Test Arithmetic

2025mcqeasy

A sum of money becomes thrice of itself in 20 years. Find the simple interest rate per annum?

Official previous-year question

Held on 14 May 2025 · Verified 13 Jul 2026.

Options

A
6.66 %
B
12 %
C
10 %
D
8.33 %

Did you get this right?

Solution

A sum of money becomes thrice of itself in 20 years means if the principal is $P$ , the final amount after 20 years is $3P$ .

The interest earned is:

Simple Interest = Final Amount - Principal

Simple Interest = $3P - P = 2P$

The simple interest formula is:

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

Where $SI$ is Simple Interest, $P$ is Principal, $R$ is Rate per annum, and $T$ is Time in years.

Given:

$SI = 2P$
$T = 20$ years
$P = P$

Substituting into the formula:

$2P = \frac{P \times R \times 20}{100}$

$2 = \frac{R \times 20}{100}$

$200 = R \times 20$

$R = \frac{200}{20}$

$R = 10$

Therefore, the simple interest rate per annum is 10%.

Your note

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