Question

A certain sum is lent at x % per annum simple interest for 2 years. Instead, if the amount was lent at 2x% per annum simple interest for y more years, then the interest would have been five times the earlier interest. What is the value of y?

Options

• 2 years

• 3 years

• 4 years

• 5 years

Answer 1

3 years
Explanation: 
Let the principal = ₹ P
Then, according to the question,

`5xx((Pxx x xx2)/100)=(Pxx2x xx(2+y))/100`

⇒ 5 = 2 + y ⇒ y = 5 - 2 = 3 years