Question

The population of a district is 369000, out of which 186000 are males. 45% of the population is literate. If 45% males are literate, then what percentage of females are literate?

• A. 44%
• B. 46%
• C. 45%
• D. 47%

Answer 1

Answer:

C. 45%

Total population and literates

• Total population = 369,000

• Total males = 186,000 → Females = 369,000 − 186,000 = 183,000

• 45% of population is literate → total literates:

$0.45 \times 369,000 = 166,050$

Step 2: Literate males

• 45% of males are literate →

$0.45 \times 186,000 = 83,700$

Step 3: Literate females

• Total literates = literate males + literate females →
  $\text{Literate females} = 166,050 - 83,700 = 82,350$

  Step 4: Percentage of females literate

• Female population = 183,000

$\text{Percentage literate} = \frac{82,350}{183,000} \times 100 \approx 45 percent$

45% of females are literate