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The population of a town increases 4% annually but is decreased by emigration annually to the extent of (1/2)%. What will be the increase percent in 3 years ?
a. 9.8
b. 10
c. 10.5
d. 10.8
Read Solution (Total 10)
-
- option(D)
let initial population be 100.
after the end of year 1 population=100+3.5=103.5
after the end of year 2 population=103.5+103.5*3.5/100=107.12
after the end of year 3 population=107+107*3.5/100=110.8
so increase percentage =110.8-100=10.8 - 9 years agoHelpfull: Yes(8) No(0)
- Net % change= a+b+(ab/100) = 4-1/2-[(4*1/2)/100] = 348/100 = 3.48
In 1 year % increase is 3.48%
So, in 3 years % increase will be 3*3.48= 10.44 = 10.5% (c) - 10 years agoHelpfull: Yes(7) No(2)
- Annually increased 4%
annually decreased 1/2%
So after 3 years Annually increased 4%*3= 12%
Annually decreased 1/2% *3 = 1.5%
So answer is 12% - 1.5 % = 10.5% - 9 years agoHelpfull: Yes(7) No(1)
- p(1+r/100)^n
r=3.5
n=3
p=population
ans 10.8 - 9 years agoHelpfull: Yes(1) No(0)
- Net % change= a+b+(ab/100) = 4-1/2-[(4*1/2)/100] = 348/100 = 3.48
so net change is 3.48
so from the formula A(1+r/100)^n {population after n year}
total population= 1.108A, so increse=10.8
- 9 years agoHelpfull: Yes(1) No(0)
- D
It is because on solving I got that
- 10 years agoHelpfull: Yes(0) No(4)
- plz give the complete solution
- 10 years agoHelpfull: Yes(0) No(1)
- 10.8 is the correct answer
- 9 years agoHelpfull: Yes(0) No(0)
- ans: 10.5
{
let x=total popu. ,so
x+3[4%-(1/2%)], solve only 2nd part which willl giv u ..... 10.5%
} - 9 years agoHelpfull: Yes(0) No(0)
- ans is 10.8
- 9 years agoHelpfull: Yes(0) No(0)
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