Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Question:

If an investment value get doubled in 10 years then its compound annual growth rate (CAGR) is: (Given $2^{1/10} = 1.0729$)

Options:

5%

10%

12%

7.29%

Correct Answer:

7.29%

Explanation:

The correct answer is Option (4) → 7.29%

Let the compound annual growth rate be r.

Value doubles in 10 years ⇒ Final Value = 2 × Initial Value

CAGR formula: $(1 + r)^{10} = 2$

Take 10th root: $1 + r = 2^{1/10} = 1.0729$

$r = 1.0729 - 1 = 0.0729 = 7.29%$