A sum of money becomes ₹ 20070 after 3… - CUET UG 2025 General Test PYQ

CUET UG 2025 — General Test Arithmetic

2025mcqmedium

A sum of money becomes ₹ 20070 after 3 year and ₹ 30105 after 6 years on compound interest. The sum will be

Official previous-year question

Held on 19 May 2025 · Verified 13 Jul 2026.

Options

A
13380
B
8920
C
5292
D
25560

Did you get this right?

Solution

Given:

A sum becomes ₹20,070 after 3 years
The same sum becomes ₹30,105 after 6 years
Compound interest is applied

The time difference between the two amounts is exactly 3 years.

The amount at year 6 is the amount at year 3 grown for another 3 years.

Growth factor for 3 years $= \dfrac{\text{Amount at 6 years}}{\text{Amount at 3 years}}$

Growth factor $= \dfrac{30,105}{20,070}$

Growth factor $= 1.5$

The money grew 1.5 times in 3 years.

The principal also grows by a factor of 1.5 in 3 years to reach ₹20,070.

Principal $\times 1.5 = 20,070$

Principal $= \dfrac{20,070}{1.5}$

Principal $= 13,380$

Therefore, the original sum is ₹13,380.

Your note

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