The population of a village was 9800. In a year, with the

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The population of a village was 9800. In a year, with the increase in population of males by 8% and that of females by 5%, the population of the village became 10458. What was the number of males in the village before increase ?

1. 4200
2. 4410
3. 5600
4. 6048

Correct Option: C

Let the number of males = x
∴ Number of females= 9800 – x
According to the question,

x ×	108	+ (9800 - x) ×	105	= 10458
	100		100

⇒ 108 x + 9800 × 105 – 105x = 1045800
⇒ 3x + 1029000 = 1045800
⇒ 3x = 1045800 – 1029000 = 16800

⇒ x =	16800	= 5600
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