Question 120

The ratio of the number of boys and girls in a school is 2 : 3. If 25% of the boys and 30% of the girls are scholarship holders, the percentage of the school students who are not scholarship holders is

Solution

Let the number of boys be 2y and number of girls be 3y

25 % of boys = 0.25 x 2y = 0.5y

30% of girls = 0.3 x 3y = 0.9y

total scholarship holder = 0.5y + 0.9y = 1.4y

% of no scholarship holder = $$\frac{3.6y}{5y}$$ x 100 = 72%

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