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There are 3 clubs A, B and C and the ratio of the total population visit in the club is 10 : 12 : 9 respectively. If the number of males visit in club A is 35%, in club B is 45% and in club C is 40% of total population, then find the ratio of total males and females visit in the all clubs together.
29 : 33
25 : 33
22 : 37
22 : 35
25 : 37
Let’s break it down:
- Clubs A, B, and C have population ratios of 10 : 12 : 9, so total = 10x, 12x, and 9x.
- Males in A: 35% of 10x = 3.5x
- Males in B: 45% of 12x = 5.4x
- Males in C: 40% of 9x = 3.6x
- Add males: 3.5x + 5.4x + 3.6x = 12.5x
- Total population: 10x + 12x + 9x = 31x
- Females = total - males = 31x - 12.5x = 18.5x
So, ratio males:females = 12.5x : 18.5x = 25 : 37
Option 5 is the correct answer.
A quick rundown of the other options:
- 29:33, 25:33, 22:37, 22:35 don’t match up mathematically with the breakdown above. If you work through each, you’ll find the ratios don’t reduce to the math calculated.
This one’s clear: 25 : 37 is the one that fits.
By: Parvesh Mehta ProfileResourcesReport error
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