Question

A certain amount invested at compound interest of 12% per annum, compounded annually, amounts to 23,136 in 2 years. What is 140% of the amount invested?

• A. ₹3600
• B. ₹3800
• C. ₹3500
• D. ₹3000

Answer 1

Answer:

C. ₹3500

Let the principal (amount invested) be (P).

Given:

• Rate (= 12%) per annum

• Time (= 2) years

• Amount after 2 years (= ₹3,136)

Using the compound interest formula:

$A=P\left(1+\frac{R}{100}\right)^n$
$3136=P(1.12)^2$
$3136=P\times 1.2544$
$P=\frac{3136}{1.2544}=2500$

Now find 140% of the principal:

$140\% \text{ of } 2500$
$=\frac{140}{100}\times 2500$
$=1.4\times 2500$
$=3500$

✅ Answer: ₹3,500