To find the total salary Mr Ngate earned by the end of the year, we need to calculate his salary for the first 8 months, the extended 4 months, and add them together.
First, let's calculate his salary for the first 8 months:
Month 1 salary: Ksh 88,400
Last month salary: Ksh 117,800
Total salary for 8 months = (88,400 + 117,800) * 8 = 1,406,400
Now, let's calculate his salary for the extended 4 months:
For each month, his salary increases by 4%.
Month 1 salary (extended): Ksh 117,800
Month 2 salary (extended): 117,800 * 1.04 = Ksh 122,512
Month 3 salary (extended): 122,512 * 1.04 = Ksh 127,419
Month 4 salary (extended): 127,419 * 1.04 = Ksh 132,541
Total salary for extended 4 months = 117,800 + 122,512 + 127,419 + 132,541 = 500,272
Now, let's add the two totals together:
Total salary for the year = 1,406,400 + 500,272 = 1,906,672
Rounded to the nearest Ksh 1, the total salary Mr Ngate earned by the end of the year is Ksh 1,906,672.