Ratio, Proportion

Quantitative Aptitude (CGL)

Title

45:30

8 of 24 completed

5 of 15 completed

38 of 100 completed

8 of 20 completed

Indian Economy - Understanding the basics of Indian economic system

The ratio of the number of boys to the number of girls in a school of 640 students, is 5 : 3. If 30 more girls are admitted in the

school, then how many more boys should be admitted so that the ratio of boys to that of the girls, becomes 14 : 9.

This questions was previously asked in

SSC CGL 3rd March 2020 Shift-1

- Initially, the ratio of boys to girls is 5:3.

- Total students (boys + girls) = 640.

- Let the number of boys be 5x and the number of girls be 3x.

- Therefore, 5x + 3x = 640, solving gives x = 80.

- Boys = 5 * 80 = 400, Girls = 3 * 80 = 240.

- 30 more girls join, making the total number of girls 270.

- We need the boys to girls ratio to be 14:9.

- If 'y' more boys are added, then (400 + y) / 270 = 14 / 9.

- Solving gives: 9(400 + y) = 3780, leading to 3600 + 9y = 3780.

- Simplifying: 9y = 180, so y = 20.

- Option 4: 20 is correct.