What is the simple interest accrued on a principal of Rs. 6000 in 5 years?

Quantity I – The rate of interest is 10\% for the first 2 years and 15\% for the last 3 years.

Quantity II – Rs. 3900

Compare Quantity I and Quantity II.

Question

What is the simple interest accrued on a principal of Rs. 6000 in 5 years?

Quantity I – The rate of interest is 10\% for the first 2 years and 15\% for the last 3 years.

Quantity II – Rs. 3900

Compare Quantity I and Quantity II.

Accepted Answer

**Solution:**

1. Calculate the simple interest for the first 2 years at 10\% per annum:
   $$ $$\text{SI}_1 = \frac{6000 \times 10 \times 2}{100} = 1200$$ $$

2. Calculate the simple interest for the next 3 years at 15\% per annum:
   $$
  $$ \text{SI}_2 = \frac{6000 \times 15 \times 3}{100} = 2700$$ $$

3. Total simple interest for 5 years:
   $$
   $$\text{SI}_{total} = 1200 + 2700 = 3900$$
   $$

4. Quantity II is Rs. 3900.

Since Quantity I (Rs. 3900) equals Quantity II (Rs. 3900), the correct relation is:

**Answer:** (e) Quantity I = Quantity II or no relation

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