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The population of a village is 6000. The next year, the number of male increases by 10% and the number of female increases by 20% and the population becomes 6840. What is the initial population of Male?
  • a)
    3600
  • b)
    4800
  • c)
    1200
  • d)
    2400
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The population of a village is 6000. The next year, the number of mal...
Let the initial population of Males and Females be 100x and 100y respectively.
Given, 100x + 100y = 6000
⇒ x + y = 60..(i)
And, 110x + 120y = 6840
⇒ 11x + 12y = 684..(ii)
12*(i) - (ii), gives
x = 36
Initial population of Males = 3600
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Most Upvoted Answer
The population of a village is 6000. The next year, the number of mal...
Given:
- Population of a village is 6000.
- The next year, the number of males increases by 10%.
- The number of females increases by 20%.
- The population becomes 6840.

To find:
- The initial population of males.

Solution:

Let's assume the initial number of males in the village is 'x' and the initial number of females is 'y'.

1. Write the given information as equations:
- The initial population of males: x
- The initial population of females: y
- The total initial population: x + y = 6000 (equation 1)
- The next year, the number of males increases by 10%: x + 0.1x = 1.1x
- The next year, the number of females increases by 20%: y + 0.2y = 1.2y
- The total population becomes 6840: 1.1x + 1.2y = 6840 (equation 2)

2. Substitute equation 1 into equation 2:
1.1x + 1.2y = 6840
1.1x + 1.2(6000 - x) = 6840
1.1x + 7200 - 1.2x = 6840
0.1x = 6840 - 7200
0.1x = -360
x = -360/0.1
x = 3600

Conclusion:
The initial population of males in the village is 3600. Therefore, the correct answer is option A.
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The population of a village is 6000. The next year, the number of male increases by 10% and the number of female increases by 20% and the population becomes 6840. What is the initial population of Male?a)3600b)4800c)1200d)2400Correct answer is option 'A'. Can you explain this answer?
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