Question 80

Respective ratio between total number of students studying in College A and College B is 5 : 8. In College B. out of the total number of students, 5/8th are boys, out of which 60% study Commerce and the remaining 800 boys study in other streams. What is the total number of students in College A ?

Solution

Total number of students in college A= 5x

Total number of students in college B = 8x

In college B, Boys = 5/8 × 8x = 5x

Boys who study commerce = 5x × 60/100 = 3x

Boys in other streams = 5x- 3x =2x

∴ 2x = 800

x = 400

∴ Total number of students in college A = 5x = 5 × 400 = 2000

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