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Question

Mathematics Question on SI & CI

How much interest will Rs- 10,000 earn in 9 months at an annual rate of 6 per cent?

A

450

B

500

C

475

D

600

Answer

450

Explanation

Solution

The correct option is (A): 450
Explanation: To calculate the interest earned on Rs. 10,000 for 9 months at an annual rate of 6%, we can use the formula for simple interest:
Interest=Principal×Rate×Time\text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time}
1. Principal (P) = Rs. 10,000
2. Rate (R) = 6% per annum = 0.06 (as a decimal)
3. Time (T) = 9 months = 912\frac{9}{12} years = 0.75 years
Now substituting these values into the formula:
Interest=10,000×0.06×0.75\text{Interest} = 10,000 \times 0.06 \times 0.75
=10,000×0.045= 10,000 \times 0.045
=450= 450
Thus, the interest earned is Rs. 450. Therefore, the answer is A: 450.