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The population of a town is 10,000. If the males increases by 5% and the females by 6%, the population will be 10540. How much females are there?
- A3500
- B4000
- C4500
- D2500
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CCommunity
Given, population of a town is 10,000. If the males increases by 5% and the females by 6%, the population will be 10540.
Let the number of males be ‘a’
Number of females = 10000 – a
Now, 5% of a + 6% of (10000 – a) = 10540 – 10000
⇒ 0.05a + 600 – 0.06a = 540
⇒ 0.01a = 60
⇒ a = 6000
Number of females = 10000 – 6000 = 4000
Let the number of males be ‘a’
Number of females = 10000 – a
Now, 5% of a + 6% of (10000 – a) = 10540 – 10000
⇒ 0.05a + 600 – 0.06a = 540
⇒ 0.01a = 60
⇒ a = 6000
Number of females = 10000 – 6000 = 4000