Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

Shyam invested ₹2,00,000 in 2019 for 5 years. If the compound annual growth rate (CAGR) for his investment is 10%, then the end balance of his investment is:

Options:

₹3,22,102

₹3,49,900

₹3,49,960

₹3,60,490

Correct Answer:

₹3,22,102

Explanation:

The correct answer is Option (1) → ₹3,22,102

Given: Initial investment $P = ₹200{,}000$, CAGR $= 10\%$, time $n = 5$ years.

Future value with compounding: $A = P(1+r)^n$

$A = 200000\,(1+0.10)^5 = 200000 \times 1.1^5$

$[1.1^5 = 1.61051]$

$A = 200000 \times 1.61051 = 322102$

End balance: ₹3,22,102 (approximately)