The ratio of the number of boys and girls in a school is 3

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RRB ASM Exam (Ajmer) 2007 click here to view all questions

The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 30% of the girls are scholarship holders, then the percentage of students, who do not get scholarship, is

A50

B72

C75

D76

Nithin K ? Nov 20 '2016 at 19:15

Answer is : 76

Explanation :

Let the number of boys & girls be 3x and 2x.

Number of those who are not scholarship holders

\(=(\text{80% of 3x} + \text{70% of 2x})\)

\( = \frac{12x}{5} + \frac{7x}{5}\)

\( = \frac{19x}{5}\)

Required Percentage \(= \frac{19x}{5} * \frac{1}{5x} * 100\% = 76%\)

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Answer is : 76 Explanation : Let the number of boys & girls be 3x and 2x. Number of those who are not scholarship holders \(=(\text{80% of 3x} + \text{70% of 2x})\) \( = \frac{12x}{5} + \frac{7x}{5}\) \( = \frac{19x}{5}\) Required Percentage \(= \frac{19x}{5} * \frac{1}{5x} * 100\% = 76%\) Nithin K ? answered Nov 20 '2016 at 19:15 All Comments

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