#### Find the amount and the compound interest on ₹ 5000 at 10% p.a. for 1 ½ years, compound interest reckoned semi-annually.

**Solution:**

It is given that

Principal (P) = ₹ 5000

Rate of interest = 10% p.a. or 5% half-yearly

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

We know that

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

Substituting the values

= 5000 (1 + 5/100)^{3}

By further calculation

= 5000 × 21/20 × 21/20 × 21/20

= ₹ 5788.12

Here

CI = A – P

Substituting the values

= 5788.12 – 5000

= ₹ 788.12

**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.