# Find the Time in Years. If

The compound interest on ₹ 1,800 at 10% per annum for a certain period of time is ₹ 378. Find the time in years.

- 2.5 years
- 2.0 years
- 2.8 years
- 3.0 years

**Answer: (2) 2.0 years**

**Explanation:-**

**Given- **

Compound interest = Rs.378, Principal = Rs.1,800, Rate = 10% and time = ?

Amount = 1,800 + 378 = Rs.2178

2178 = 1800(1 + 10/100)^{t
}2178/1800 = (1 + 1/10)^{t}2178/1800 = (11/10)^{t}

121/100 = (11/10)^{t}

(11/10)^{2} = (11/10)^{t}

Comparing on both side

2 = t

Hence, the answer is (2) 2.0 years