Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

How many years will it take for a sum of money to grow 4 times at the effective rate of 6 % ?

[Use log 2 =0.3010, log(1.06)=0.0253]

Options:

20.78

22.78

23.78

25.78

Correct Answer:

23.78

Explanation:

The correct answer is Option (3) → 23.78

Amount = $P(1+r)^t$

$⇒4P=P(1.06)^t$

$⇒4=(1.06)^t$

$⇒\log 4=t\log (1.06)$

$⇒t=\frac{\log 4}{\log (1.06)}≃23.78\,years$