The ratio of boys to girls in a school having 1440 students is 3:5 . Thirty girls were shifted to the other branch of the school. How many more boys s - Quantitative Aptitude MCQ Competitive Exam 2026 | ExamTest.live

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The ratio of boys to girls in a school having 1440 students is 3 : 5 . Thirty girls were shifted to the other branch of the school. How many more boys should be admitted to the school to make this ratio 2 : 3 ?

Solution & Step-by-step Explanation

Total students = 1440Initial ratio of Boys : Girls = 3 : 5 Sum of ratio parts = 3 + 5 = 8 $ Number of Boys = \frac{3}{8} \times 1440 = 540 $ Number of Girls = \frac{5}{8} \times 1440 = 900 Thirty girls were shifted out: New number of Girls = 900 - 30 = 870 Let x be the number of new boys admitted. The new ratio is 2 : 3 : \frac{540 + x}{870} = \frac{2}{3} 3 \times (540 + x) = 2 \times 870 1620 + 3 x = 1740 3 x = 1740 - 1620 3 x = 120 x = 40 So, 40 more boys should be admitted.

Try it yourself before checking the explanation above.

The ratio of boys to girls in a school having 1440 students is 3 : 5 . Thirty girls were shifted to the other branch of the school. How many more boys should be admitted to the school to make this ratio 2 : 3 ?

40

35

45

32

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