Question

Simple interest on a certain amount is 9/6 of the principal. If the numbers representing the rate of interest (in percent) and time (in years) be equal, then time, for which the principal is lent out, is_____

A. 5 1/2 years
B. 6 1/2 years
C. 7 years
D. 7 1/2 years

Answer 1

To find the time for which the principal is lent out in simple interest, we can use the formula Interest = Principal x Rate x Time. By setting the interest as 9/6 of the principal and representing the rate and time as x, we can solve for x and find that the time is approximately 1.225 (or 1 1/4) years.

Step-by-step explanation:

To find the time for which the principal is lent out, we can use the formula for simple interest:

Interest = Principal x Rate x Time

Given that the simple interest is 9/6 (which simplifies to 3/2) of the principal, we can write the equation as:

3/2P = P x R x T

Since the numbers representing the rate of interest and time are equal, we can represent them as 'x'.

3/2 = R x x

Simplifying this equation, we get:

3/2 = x^2

x = sqrt(3/2)

Therefore, the time for which the principal is lent out is approximately 1.225 (or 1 1/4) years.