The population of a village is 4500. If number of males increases by 15% and number of females increases by
25% then the population of village become 5325. Number of males is what percent of the Number of females
in the village.
Answers
If no. of males is increased by 15% and no. of females by 25% then the population becomes 5325 from 4500 then the no. of males is 200% of the no. of females in the village.
Step-by-step explanation:
Step 1:
No. of population of a village = 4500
Let the no. of males be “x” and no. of females be “y”.
∴ Equation (1): x + y = 4500
It is given that,
No. of males increases by 15%, therefore, no. of males = x + 15% of x = 1.15x
And,
No. of females increases by 25%, therefore, no. of females = y + 25% of y = 1.25 y
∴ Equation (2): 1.15x + 1.25y = 5325
Step 2:
Multiplying 1.15 throughout eq. (1) and subtract eq. (1) from eq. (2), we get
1.15x + 1.25y = 5325
1.15x + 1.15y = 5175
- - -
----------------------------------
0.1 y = 150
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y = 1500
and,
x = 4500 – 1500 = 3000
Now, the required percentage is given by,
The number of males = % * The number of females
⇒ % = [3000/1500] * 100
⇒ % = 200
Thus, the number of males is 200% of the number of females in the village.
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