If a machine cost Rs. 10000 in 2015 and Rs. 15000 in 2018, then find the price relative.

Answer

To find the price relative of the machine from 2015 to 2018, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Costs**:
- Cost of the machine in 2015 (P1) = Rs. 10,000
- Cost of the machine in 2018 (P2) = Rs. 15,000

2. **Use the Price Relative Formula**:
The formula for price relative (I) is given by:
\[ I = \frac{P2}{P1} \times 100 \]

3. **Substitute the Values**:
Substitute the values of P2 and P1 into the formula:
\[ I = \frac{15000}{10000} \times 100 \]

4. **Calculate the Fraction**:
Simplify the fraction:
\[ I = 1.5 \times 100 \]

5. **Multiply to Find the Price Relative**:
Now, perform the multiplication:
\[ I = 150 \]

6. **Conclusion**:
Therefore, the price relative of the machine from 2015 to 2018 is:
\[ \text{Price Relative} = 150 \]