Question

For the construction of a bridge, 6400 labourers were employed initially. How many labourers will be left after
two years if 25% labourers are to be discontinued every year ?​

Answer 1

Step-by-step explanation:

Initial number of workers are = 6400 At the end of first year = 25% retrenched At the end of second year = 25% retrenched At the end of third year = 25% increased

By using the formula,

$A= P(1 - \frac{R}{100} )$

$x = 6400(1 - \frac{25}{100} )(1 - \frac{25}{100} )(1 + \frac{25}{100} ) \\ = 6400( \frac{75}{100} )( \frac{75}{100} )( \frac{125}{100} ) \\ = 6400(0.75)(0.75)(1.25) \\ = 4500 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

∴ Number of workers working during the fourth year is 4500.