Question

The ratio of number of boys and girls is 3:2 .If 20 percent of the boys and 30 percent of the girls are scholarship holders,then the percentage of students who do not get scholarship,is? Select one:
a. 72
b. 76
c. 50
d. 75

Answer 1

let number of students in the class : 5x

we know that ratio of number of boys and girls in the class: 3:2 then, let number of girls and boys students in the class be 3x and 2x respectively.

percentage of boys scholarship holder in the class :20%

number of boys scholarship holder in the class:

$20\% \: of \: 5x \\ = \frac{20}{100} \times 5x \\ = x$

percent of girls scholarship holder in the class :30%

number of girls scholarship holder in the class:

$30\% \: of \: 5x \\ = \frac{30}{100} \times 5x \\ = \frac{15x}{10} \\ = 1.5x$

percentage of scholarship holder in the class:

$(30 + 20)\% \\ = 50\%$

number of scholarship holder in the class:

$50\% \: of \: 5x \\ = \frac{50}{100} \times 5x \\ = 2.5x$

percentage of students who are not scholarship holder:

$100\% - 50\% \\ = 50\%$

or,

$( \frac{5x - 2.5x}{5x} \times 100 )\% \\ = 50\%$

then 50% is your answer

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Answer 2

Answer:

76 is the correct answer