Question 112

In a school, 10% of number of girls is equal to 1/20 th of number of boys. Ratio between the number of boys to number of girls is

Solution

Let number of boys = $$100x$$ and number of girls = $$100y$$

We need to find $$\frac{100x}{100y}$$ = $$\frac{x}{y}$$

10% of girls = $$\frac{10}{100} * 100y = 10y$$

1/20th of boys = $$\frac{1}{20} * 100x = 5x$$

Now, both of these are equal

=> $$5x = 10y$$

=> $$\frac{x}{y}$$ = $$\frac{2}{1}$$

=> Required ratio = 2 : 1

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