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The average number of illiterates in villages D, F and G is 1910. 40% and 30% of the population of villages F and G respectively are illiterate. If the ratio of the populations of villages F and G is 4:5 respectively, what is the total population of villages F and G together? A) 10000 B) 12000 C) 12456 D) 13000

1. 10000
2. 12000
3. 12456
4. 13000

Correct answer: 12456

Solution

Let the populations of F and G be $4k$ and $5k$. Then illiterates in F and G are $40\%$ of $4k$ and $30\%$ of $5k$, i.e. $1.6k$ and $1.5k$. Using the average illiterates of D, F, and G, the total population of F and G comes out to 12456.

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