The population of a village is 5000. It is increasing at the rate of 10% each year. At the end of 3 years, 1155
people migrate from the village. The net increase in population at the end of 3 years is??

Question

The population of a village is 5000. It is increasing at the rate of 10% each year. At the end of 3 years, 1155
people migrate from the village. The net increase in population at the end of 3 years is??

ganeshie8 · Answer

$$ net\ increase = 5000e^{.1*3} - 5000 - 1155$$

anonymous · Answer

Options are (A) 27%
                   (B) 30%
                    (C) 9%
                     (D) 10%

ganeshie8 · Answer

ok i think here the given rate is fixed. so there is no point using continuous compounding.
just use the compound growth rate formula and compute. i dont remember the exact formula sorry

kropot72 · Answer

Population at the end of 3 years before migration = 5000(1.1)^3 = 6655
Population at the end of 3 years after migration = 6655 - 1155 = 5500
Net increase = 5500 - 5000 = 500
Percentage net increase is$$\frac{500}{5000}\times 100=?%$$

anonymous · Answer

Two pipes A and B can separately fill a cistern in 24
and 32 minutes respectively. They started to fill a
cistern together, but B is turned off after few minutes
and A fills the rest of the cistern. If total time taken is 18
minutes, after how many minutes is tap B turned off?