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Deksha borrowed Rs. 500 at 5% per annum ...

Deksha borrowed Rs. 500 at 5% per annum simple interest. 'What amount (in rupees) will she pay to clear her debt after 4 years?

A

150

B

650

C

600

D

100

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to calculate the total amount Deksha will pay after 4 years, which includes both the principal and the simple interest. ### Step-by-Step Solution: 1. **Identify the given values**: - Principal (P) = Rs. 500 - Rate of interest (R) = 5% per annum - Time (T) = 4 years 2. **Calculate the Simple Interest (SI)**: The formula for Simple Interest is: \[ SI = \frac{P \times R \times T}{100} \] Substituting the values: \[ SI = \frac{500 \times 5 \times 4}{100} \] 3. **Perform the calculations**: - First, calculate \(500 \times 5 = 2500\). - Then, calculate \(2500 \times 4 = 10000\). - Finally, divide by 100: \[ SI = \frac{10000}{100} = 100 \] So, the Simple Interest is Rs. 100. 4. **Calculate the Total Amount (A)**: The total amount to be paid after 4 years is the sum of the principal and the simple interest: \[ A = P + SI \] Substituting the values: \[ A = 500 + 100 = 600 \] 5. **Conclusion**: The total amount Deksha will pay to clear her debt after 4 years is Rs. 600. ### Final Answer: Deksha will pay Rs. 600 to clear her debt after 4 years. ---
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