In class X of a school there are two sections A and B with strength ratio 2 1 The ratio of boys and...........

Quant (SSC) Ratio, Proportion

In class X of a school there are two sections A and B with strength ratio 2 : 1. The ratio of boys and girls in section A is 3 : 1 and that in section B is 3 : 5. Students of both the sections are made to stand in the ground in rows of boys and girls, with each row having equal number of students. If the maximum number of students possible in a row is 96 what is the difference between the number of boys in section A and B?

218

286

372

288

छोटे Courses बड़े Results

Master Ratio, Proportion

Prepare through Micro-courses

Try Now

Explanation:

Let the strength of A = 16k and that of = 8k
Section A ratio of Boys: girls = 3 : 1 → boys = 12k and girls = 4k
Section B ratio of boys: girls = 3 : 5 → boys = 3k and girls = 5k
A + B – boys = 15k and girls = 9k
Maximum number of students in a row = HCF (15k, 9k) = 3k → 3k = 96 → k=32
Difference between boys of section A and B = 12k – 3k = 9k → 9 × 32 = 288