Question

A person invested 3 times as much money at 5% as he had invested at 2% per annum simple interest. Further he invested Rs. 6000 more at 3% than he had invested at 2%. If the total interest from the three investments after a year is Rs. 980, then the total amount he invested is:

• A. Rs. 17600
• B. Rs. 18000
• C. Rs. 20000
• D. Rs. 26000

Answer 1

The correct option is D Rs. 26000

Let he invested x amount of Rs. at 2% then
$\frac{3x\times 5}{100}+\frac{2x}{100}+\frac{(x+6000)\times 3}{100}=980$
$\Rightarrow 15x+2x+3x+18000=98000$
$20x+18000=98,000$
$20x=80,000$
$x=4000$
Total invested amount $3x+x+x+6000=12000+8000+4000+6000=26000$