Some amount of Rs. 12000 was lent at 7% per annum and the remaining at 4% per annum. If the total simple interest from both the fractions in 4 years was Rs. 2880, find the sum lent at 4% per annum.

- 8000
- 4000
- 9600
- 2400
- None of these

Option 2 : 4000

**Solution:**

**Given:** Total sum = 12000

Total simple interest = 2880

Time = 4 years

**Formula used:** Simple interest = (Principal × Rate × Time)/100

**Calculation:** Let the sum lent at 7% per annum is x then the sum lent at 4% per annum is (12000 – x).

Then, {(x × 7 × 4)/100} + {((12000 – x) × 4 × 4)/100} = 2880

⇒ {28x/100} + {(192000 – 16x)/100} = 2880

⇒ 28x + 192000 – 16x = 288000

⇒ 28x – 16x = 288000 – 192000

⇒ 12x = 96000

⇒ x = 8000

Sum lent at 4% per annum = 12000 – 8000

∴ 4000

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