The total population of a village is 5000 The number of males and females increases by 10 and 15 respectively

If all 5000 were men, increase in population would have been 500.
If all 5000 were women, increase in population would have been 750.
Actual increase in population =750

By alligation method,
Ratio of men to women is (750-600): (600-500) or 150:100 or 3:2

so number of males = 5000*3/5 = 3000
11 years agoHelpfull: Yes(12) No(4)
x+y=5000
1.1x+1.15y=5600
11 years agoHelpfull: Yes(10) No(0)
let x be male, y be female

x + y = 5000 ---> (1)
x+10%x + y+15%y =5600
x + (10/100)x + y + (15/100)y=5600
(110/100)x + (115/100)y=5600
110x+115y=560000 --> (2)

solve (1) & (2)

110x+115y= 560000 --> (2)
-110x-110y=-550000 --> (1) * -110
-------------------
5y= 10000
y= 2000
x+y =5000
y=2000 then x=3000

No. of male in the village is 3000
11 years agoHelpfull: Yes(8) No(1)
take no of men=x and no. of female =y,then x+y=5000, and after increasing population 110x+115y=5600 , by solving these equation we get x=3000
11 years agoHelpfull: Yes(7) No(3)
100% = 5000, and 10% and 15% are increases so if 10% & 15% = 600.
consider that 3000 10% is 300 and 2000 15 % is 300 so we get the answer as 600. simple reverse engineering.
5 years agoHelpfull: Yes(1) No(0)
the total population is 5000
if we consider x as male then 5000-x as female
10% increase in male then 110x/100
15% increase in female then 115(5000-x)/100
therefore 110x/100 + 115(5000-x)/100=5600
the answer is x= 3000.
4 years agoHelpfull: Yes(0) No(0)
the solution to the question is 3000
4 years agoHelpfull: Yes(0) No(0)

The total population of a village is 5000. The number of males and females increases by 10% and 15% respectively
and consequently the population of the village becomes 5600. what was the number of males in the village ?

A) 2000 B) 2500 C) 3000 D) 4000