Bunuel wrote:
Official Solution:
(1) If the player had won 25 percent of the total games he played, he would have lost 30 more games than he actually did. The player won 25% of his first 20 games and 100% of the remaining games, in order to win 25% of total matches he should have won 25% of the remaining games (instead of 100%, so 75% less). So 75% losses in the remaining games result in 30 more losses: \(0.75*R=30\), where \(R\) is the number of the remaining games. We have only one unknown \(R\), hence we can solve for it and thus we'll have all information needed to get the ratio. Sufficient.
(2) The player won 75 percent of the games he played. So, \(0.25*20+1*R=0.75*(20+R)\). The same here: we have only one unknown \(R\), hence we can solve for it and thus we'll have all information needed to get the ratio. Sufficient.
Answer: D
Bunuel In statement (1) If the player had won 25 percent of the total games he played, he would have lost 30 more games than he actually did - the word
MORE doesn't mean 30 + 15 (loses)? If so, the equation shouldn't be 3/4 * R= (15 +30)? Many tks!