The present population of a town is 6000, if the number of males increase by 8% and the number of females increase by 10%, the population will be 6500, Find the present number of females in the town - 

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Rajasthan CET Graduate Level Official Paper (Held on: 7th Jan 2023 Shift 2)
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  1. 1000
  2. 1200
  3. 1100
  4. 1300

Answer (Detailed Solution Below)

Option 1 : 1000
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Rajasthan CET Graduation Full Test 1
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Detailed Solution

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Given:

The population of a town = 6000

Calculation:

Let, the number of males = m

The number of females, f = 6000 - m

According to the question,

If the number of males increases by 8% and the number of females increases by 10%,

⇒ 8% of m + 10 % of f = 6500 - 6000 = 500

⇒  × m +  × (6000 - m) = 500

⇒ 8m + 60000 - 10m = 500 × 100

⇒ 2m = 60000 - 50000 = 10000

⇒ m =  = 5000

The number of females, f = 6000 - m

⇒ 6000 - 5000 = 1000

∴ The present number of females in the town is 1000.

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