In how much time will `₹12,000` earn an interest of `₹4800` at `8%` interest p.a. ?

Answer

To solve the problem of how much time will ₹12,000 earn an interest of ₹4,800 at an 8% interest rate per annum, we can follow these steps:

### Step-by-step Solution:

1. **Identify the given values:**
- Principal (P) = ₹12,000
- Simple Interest (SI) = ₹4,800
- Rate of Interest (R) = 8% per annum

2. **Recall the formula for Simple Interest:**
\[ SI = \frac{P \times R \times T}{100} \]
where SI is the Simple Interest, P is the Principal, R is the Rate of Interest, and T is the Time in years.

3. **Substitute the known values into the formula:**
\[ 4800 = \frac{12000 \times 8 \times T}{100} \]

4. **Simplify the equation:**
- Multiply both sides by 100 to eliminate the fraction:
\[ 4800 \times 100 = 12000 \times 8 \times T \]
\[ 480000 = 96000 \times T \]

5. **Solve for T:**
- Divide both sides by 96000:
\[ T = \frac{480000}{96000} \]
- Simplifying the right side:
\[ T = 5 \]

6. **Conclusion:**
- The time (T) is 5 years.

### Final Answer:
The time required for ₹12,000 to earn an interest of ₹4,800 at an 8% interest rate per annum is **5 years**.

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