Final answer:
To determine the value of the debt of 4000 L.E due in 6 months when paid 4 months hence with a 10% interest rate, simple interest is calculated for 4 months. The interest amounts to 133.32 L.E, and when added to the principal, the debt value is 4133.32 L.E.
Step-by-step explanation:
The student asked how to calculate the value of a debt of 4000 L.E due in 6 months if it is paid 4 months hence, given an interest rate of 10%. To calculate the value, we will use simple interest formula:
I = PRT
Where I is the interest, P is the principal amount (4000 L.E), R is the rate of interest per time period (10% or 0.10), and T is the time period in years. In this case, since the debt is to be paid in 4 months (which is 4/12 years or 1/3 years), we plug in the values:
I = 4000 * 0.10 * (1/3)
I = 4000 * 0.10 * 0.3333
I = 133.32 L.E
Now, we add the interest to the principal amount to find the value of the debt when paid 4 months hence:
Value = P + I
Value = 4000 + 133.32
Value = 4133.32 L.E
Hence, the value of the debt if paid 4 months hence is 4133.32 L.E.