Test Index

Ratio and Proportion

© examsnet.com

Question : 38 of 112

Marks: +1, -0

The ratio of the number of boys and girls in a school is 3: 2 . If

20 \%

of the boys and

25 \%

of the girls are scholarship holders, what percentge of the students does not get the schoLarship?

$56\%$
$70 \%$
$78 \%$
$80 \%$

Solution:

Concept:

Percentage of students not receiving scholarship is

100\%

minus the percentage who receive it.

Explanation:

Let number of boys =

3x

and number of girls =

2x

(since ratio is

3:2

).

Total students =

3x + 2x = 5x

.

Scholarship holders:

Boys:

20\%

of

3x = 0.20 \times 3x = 0.6x

.

Girls:

25\%

of

2x = 0.25 \times 2x = 0.5x

.

Total scholarship holders =

0.6x + 0.5x = 1.1x

.

Percentage of students with scholarship =

\frac{1.1x}{5x} \times 100\% = 22\%

.

Therefore, percentage without scholarship =

100\% - 22\% = 78\%

.

Answer:

78\%

© examsnet.com

Go to Question:

Prev Question

Next Question