At a certain soccer club, the number of players increased by 10 percen

Question

At a certain soccer club, the number of players increased by 10 percent between 2015 and 2016. If the number of male players decreased by 5 percent and the number of female players increased by 15 percent, what is the ratio of female players to male players in 2015?
A) 1:3
B) 1:2
C) 3:2
D) 2:1
E) 3:1

attari92 · Answer

let no. male players be x and female players be y
as per the question stem : x*95/100+y*115/100 = (x+y)*110/100 => y/x =3/1 -> option E

helloSimba · Answer

Isnt this the ratio of 2015 not 2016?

attari92 · Answer

Even the increase no. would drift with the same ratio cause we are considering an overall increase in the same exact proportion. We can't ascertain a ratio with the conditional part of a question stem and it was mentioned only to manipulate it further. Assume total to be 100; let x and y part be 30 and 70. Now, an overall increase of 10% will also let x and y part to go up by 3 and 7 respectively and not to mention that the ratio doesn't change.

Bunuel · Answer

Edited the question. It asks about the ration in 2015. Veritas Prep Official Solution: We can solve this one with the weighted average mapping strategy or with algebra. For the mapping strategy: -5%...............10%......15% M..........15...........5......F This gives us a female:male ratio of 15:5, or 3:1. To solve algebraically, we can set up the following equation: 1.1(f+m)=1.15f+.95m . By manipulating, we can get to 0.15m =0.05f , or \frac{f}{m}=\frac{0.15}{0.05}=\frac{3}{1} . Answer: E. OPEN DISCUSSION OF THIS QUESTION IS HERE: at-a-certain-soccer-club-the-number-of-players-increased-by-10-percen-238615.html

At a certain soccer club, the number of players increased by 10 percen

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards