MR NGATE IS A SONSUTANT WITH MITSUMI COMPUTER GARAGE AT THE END OF THE FIRST MONTH HIS BASIC SALARY WAS KSH88400 AND HIS MONTHLY DURING THE LAST MONTH OF THE CONTRACT WAS KSH117800 BYTHE END OF THE CONTRACT HE EARNED A TOTAL SALARYOF KSH824800 GIVEN THAT THE ANNUAL INCREMENT RATE WAS CONSTANT CALCULATE THE PERIOD THE CONTRACT LASTED
To calculate the period the contract lasted, we need to determine the monthly increment rate.
The monthly increment rate can be found by dividing the difference between the final and initial salaries by the total number of months the contract lasted.
Initial Salary: KSH 88,400
Final Salary: KSH 117,800
Total Salary: KSH 824,800
Monthly Increment Rate = (Final Salary - Initial Salary) / Total Months
Monthly Increment Rate = (117,800 - 88,400) / Total Months
Now we can equate the total salary to the sum of the initial salary and the cumulative increments over the contract period:
Total Salary = Initial Salary + (Monthly Increment Rate * Total Months)
824,800 = 88,400 + (Monthly Increment Rate * Total Months)
Rearranging the equation:
(Monthly Increment Rate * Total Months) = 824,800 - 88,400
(Monthly Increment Rate * Total Months) = 736,400
Now we have two unknowns, the monthly increment rate and the total months. We need an additional piece of information to solve for these variables.