Nebo is a town with a present population of 100,000. The population increases every year by 5%. Determine
what the population size
a) was three years ago
b) will be in two years’ time
c) will be in 7 years’ time
[1] a) 85 000 b) 110 000 c) 135 000
[2] a) 90 000 b) 115 763 c) 140 711
[3] a) 86 384 b) 110 250 c) 140 711
[4] a) 90 703 b) 115 000 c) 135 000
Question 20
After months of negotiations, Jabu’s annual salary was increased by 6.35% to R330 000. Determine his
previous monthly salary and the monthly increase he will be getting.
[1] Original salary of R20 955.00, with an increase of R6 545.00 per month.
[2] Original salary of R25 858.02, with an increase of R1 641.98 per month
[3] Original salary of R27 500.00, with an increase of R1 746.25 per month.
[4] Original salary of R25 858.02, with an increase of R1 746.25 per month
1. 100,000/1.05^3 = 86,384.
So, the correct answer is [3].
20. The previous salary is 330,000/1.0635/12 = 25,858.02.
The increase in salary is:
25,858.02×0.0635 = 1,641.98.
So, the correct answer is [2].
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