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In a village, the ratio of number of males to females is 5:4. The ratio of number of literate males to literate females is 2:3. The ratio of the number of illiterate males to illiterate females is 4:3. If 3600 males in the village are literate, then the total number of females in the village is

Updated On: Jan 15, 2026
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Solution and Explanation

Given:

  • Male to female ratio in the village: 5:4
  • Literate male to literate female ratio: 2:3
  • Illiterate male to illiterate female ratio: 4:3
  • Number of literate males: 3600

Step 1: Represent the total number of males and females using a common variable.

  • Males = $5x$
  • Females = $4x$

Step 2: Define the number of literate males and females based on their given ratio.

Let $y$ be the common multiple for literate individuals.

  • Literate males = $2y$
  • Literate females = $3y$

Step 3: Use the provided number of literate males to find the value of $y$.

Given literate males = 3600, so $2y = 3600$, which means $y = 1800$.

Calculate the number of literate females:

  • Literate females = $3 \times 1800 = 5400$

Step 4: Define the number of illiterate males and females based on their given ratio.

Let $z$ be the common multiple for illiterate individuals.

  • Illiterate males = $4z$
  • Illiterate females = $3z$

Step 5: Formulate an equation for the total number of males.

Total males = Literate males + Illiterate males

$5x = 3600 + 4z$

Step 6: Formulate an equation for the total number of females.

Total females = Literate females + Illiterate females

$4x = 5400 + 3z$

Solve for $x$ by expressing it in terms of $z$ from both equations and equating them:

From Step 5: $x = \frac{3600 + 4z}{5}$

From Step 6: $x = \frac{5400 + 3z}{4}$

Equating the expressions for $x$:

$\frac{3600 + 4z}{5} = \frac{5400 + 3z}{4}$

Cross-multiplying to solve for $z$:

$4(3600 + 4z) = 5(5400 + 3z)$

$14400 + 16z = 27000 + 15z$

$16z - 15z = 27000 - 14400$

$z = 12600$

Calculate the value of $x$:

$x = \frac{3600 + 4 \times 12600}{5} = \frac{3600 + 50400}{5} = \frac{54000}{5} = 10800$

Determine the total number of females:

Total number of females = $4x = 4 \times 10800 = \boxed{43200}$

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In the dynamic realm of creativity, artists often find themselves at the crossroads between drawing inspiration from diverse cultures and inadvertently crossing into the territory of cultural appropriation. Inspiration is the lifeblood of creativity, driving artists to create works that resonate across borders. In a globalized era of the modern world, artists draw from a vast array of cultural influences. When approached respectfully, inspiration becomes a bridge, fostering understanding and appreciation of cultural diversity. However, the line between inspiration and cultural appropriation can be thin and easily blurred.
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