The total population id a village is 5000. In a year, number of males and…
2023
The total population id a village is 5000. In a year, 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 ?
Answer: C. 3000 — Let the number of males be x. Then the number of females = 5000 − x. After the increases, males become 1.10 × x and females become 1.15 × (5000 − x). So:…
- A.
2000
- B.
2500
- C.
3000
- D.
4000
Attempted by 28 students.
Show answer & explanation
Correct answer: C
Let the number of males be x.
Then the number of females = 5000 − x.
After the increases, males become 1.10 × x and females become 1.15 × (5000 − x). So:
1.10x + 1.15(5000 − x) = 5600
Expand: 1.10x + 5750 − 1.15x = 5600
Combine like terms: −0.05x + 5750 = 5600
Subtract 5750 from both sides: −0.05x = −150
Divide by −0.05: x = (−150)/(−0.05) = 3000
Therefore the number of males in the village was 3000.