The simple interest accrued after 2.5 years on a Rs. 1000 deposit at a 4.5% annual interest rate is Rs. 1.125. None of the provided options exactly matches this amount.
To calculate simple interest, you can use the formula:
![\[ \text{Simple Interest} (SI) = (P \cdot R \cdot T)/(100) \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/y70ojzy2nevgi6efoukxle391v9fjn13fu.png)
where:
- P is the principal amount (initial deposit),
- R is the rate of interest per annum, and
- T is the time in years.
In this case:
- P = Rs. 1000,
- R = 4.5% = 0.045 (convert percentage to decimal),
- T = 2.5 years (2 years and 6 months, or 2.5 years).
Now, plug these values into the formula:
![\[ SI = (1000 \cdot 0.045 \cdot 2.5)/(100) \]\[ SI = (45 \cdot 2.5)/(100) \]\[ SI = (112.5)/(100) \]\[ SI = Rs. 1.125 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/pv8yllrkpz13hx6i528tl5ir2o9atvr256.png)
So, the simple interest after 2.5 years is Rs. 1.125.
None of the provided options exactly match this amount. It seems there might be a mistake in the options or the calculation. Please double-check the options or verify the calculations.