Question

the population of a village was 15000 . due to migration of people to cities, it reduced by 5% in the first year and 8% in the second year. find the population after 2 years​

Answer 1

Answer:

13110

Step-by-step explanation:

Population = 15000 means 100%

First year reduced by 5% that means the % is ( 100% - 5%) = 95%

15000                               - 100%

Population in 1st year ?     - 95%

Population in 1st year = 15000 x 95% / 100% = 14250

Second year reduced by 8% that means ( 100 % - 8%) = 92%

14250                            - 100%

Population in 2nd year?  -  92%

Population in 2nd year  =  14250 x 92% / 100%

                                      = 13110

Population after 2 years = 13110

applying short cut = 15000 x reduced rate of interest / 100

 = 15000 x (100-5) / 100 x (100-8)/ 100

= 15000 x 95/100 x 92/100

= 13110