Question

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

• A. ₹17600
• B. ₹28000
• C. ₹20000
• D. ₹26000

Answer 1

The correct option is D

₹26000

Let the amount invested at 2% be ₹x.
Given the interest from 3 investments after 1 year
$\therefore \frac{3x\times 5}{100}+\frac{2x}{100}+\frac{(x+6000)\times 3}{100}=980$
$20x+18,000=98,000$
$20x=80,000$
$x=₹4000$
$\therefore$ Total amount he invested is = 3x+ x+x+6000 = 5x + 6000= ₹26000.