# In a village there are males, females, and children. The number of females is equal to the sum of the number of males and children. If 25% of the females are illiterate and the number of literate females is 3750. Then find the total population of the village.

1. 26000
2. 10000
3. 15000
4. 5000

Option 2 : 10000

## Detailed Solution

Given-

Number of literate females = 3750

Percentage of illiterate females = 25%

Concept Used-

Total females = Literate Females + Illiterate females

Total population = Male + Females + Children

Calculations:

Let the total population of females = x

Then total population of village = 2x

∵ Number of females is equal to the sum of number of males and children

Percentage of literate females = (100 - 25)% = 75%

According to the question

75% of x = 3750

⇒ x = 5000

∴ Total population of village is 2x = 2 × 5000

= 10000.
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