Question

What sum invested for 1.5 year amount to ₹ 1,32,651 in 1 1⁄2 years compounded half yearly at the rate

of 4% p.a.?

Answer 1

Sum = Rs. 125000

Explanation:

Given

Amounts = Rs. 1,32,651

Time = 3/2 years

Rate = 4%

Compounded half yearly

Concept

A = P × (1 + r/100)t

When compounded half yearly

Rate become half and Time become double (As in 1 year 12 months = 6 months + 6 months)

Calculation

Time = 3 years

Rate = 2%

⇒ 132651 = P × (1 + (2/100))^3

⇒ 132651 = P × (1 + (1/50))^3

⇒ 132651 = P × (51/50)^3

⇒ P = (132651 × 50 × 50 × 50)/(51 × 51 × 51)

Note:- 51^3 = 132651

⇒ P = Rs. 125000

∴ Sum = Rs. 125000

Answer 2

the amswer is Rs. 1,25,000