#### What sum invested at 4% per annum compounded semi-annually amounts to ₹ 7803 at the end of one year?

**Solution:**

It is given that

Amount (A) = ₹ 7803

Rate of interest (r) = 4% p.a. or 2% semi-annually

Period (n) = 1 year or 2 half years

We know that

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

Substituting the values

= 7803 + (1 + 2/100)^{2}

By further calculation

= 7803 + (51/20)^{2}

= 7803 × 50/51 × 50/51

= ₹ 7500

Hence, the principal is ₹ 7500.

**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.