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6000 workers were employed to construct a river bridge in four years. At the end of first year, 20% workers were retrenched; At the end of second year 5% of the workers at that time were retrenched

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Question

6000 workers were employed to construct a river bridge in four years. At the end of first year, 20% workers were retrenched; At the end of second year 5% of the workers at that time were retrenched. However, to complete the project in time, the number of workers was increased by 15% at the end of third year. How many workers were working during the fourth year?

Sum
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Solution

The number of workers who were working during the fourth year

= 6000`(1 - 20/100)(1 - 5/100)(1+ 15/100)`

`|"V" = "V"_0 (1 - r_1/100)(1 - r_2/100)(1 + r_3/100)`

= 6000 x `(4)/(5) xx (19)/(20) xx (23)/(20)`

= 5244.

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Concept of Compound Interest - Compound Interest as a Repeated Simple Interest Computation with a Growing Principal
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