#### What sum invested for 1 ½ years compounded half yearly at the rate of 4% p.a. will amount to ₹132651?

**Solution:**

It is given that

Amount (A) = ₹ 132651

Rate of interest (r) = 4% p.a. or 2% half yearly

Period (n) = 1 ½ years or 3 half years

We know that

A = P (1 + r/100)^{n}

It can be written as

P = A ÷ (1 + r/100)^{n}

Substituting the values

= 132651 ÷ (1 + 2/100)^{3}

By further calculation

= 132651 ÷ (51/50)^{3}

So we get

= 132651 × (50/51)^{3}

= 132651 × 50/51 × 50/51 × 50/51

= ₹ 125000

Hence, the principal amount is ₹ 125000.

**More Solutions:**

- At what rate percent will ₹ 2000 amount.
- Find the rate of interest per annum.
- Determine the rate of interest for a sum.
- Find the amount after 3 years at the above rate of compound interest.
- A certain sum amounts to ₹ 5292 in 2 years.
- A certain sum amounts to ₹ 798.60 after 3 years.
- In what time will ₹ 15625 amount to ₹ 17576.
- In what time will ₹ 1500 yield ₹ 496.50 as compound interest
- Find the time period of investment.