Q: A luxury perfume costs $1200. The store owner decided to increase its price by 10% so that he could earn more profit. Few weeks had past but the perfume was still not sold. So, the owner decided to lower the price by 15%. By how much was the final price lower than the original price?
A: There was a $1200 x 10 / 100 = $120 increase of the original price. So, the perfume was priced for $1200 + $120 = $1320. Then, 15% of the new price is $1320 x 15 / 100 = $198. So, the final price is now $1320 - $198 = $1122. Therefore, the final price is $1200 - $1122 = $78 lower than the original price. The answer is 78.
Question: John decides to replace all his VHS with DVDs. He can trade in his VHS for $2 each and then buy the DVDs for $10 each. If he has 100 movies, how much does it cost to replace his movies?
Answer: It cost 10 - 2 = $8 to replace each movie. So it would cost 8 * 100 = $800 to replace everything. The answer is 800.
[Question]Five hundred people attended the band concert. For that concert, the band gets 70% of the ticket price. If each ticket costs $30 and there are 4 members of the band, how much did each band member get from that concert?
[Answer]The total earnings from the ticket are $30 x 500 = $15000. The band got $15000 x 70 / 100 = $10500. So each band member got $10500 / 4 = $2625. The answer is 2625.
Q: Paul's grades last semester were very bad. To encourage him, Paul's dad promised him $5 for every B+ he gets in his next scorecard and twice that amount for every A. If Paul obtains at least two A+ he'll double the previous rewards and would receive a flat $15 for every A+ obtained (with no extra bonus). If there are 10 courses with grades in Paul's scorecard, what's the maximum amount he could receive from his dad?
A: We know Paul would get $5 for a B + . However, we know this could be (2x) doubled if he obtains at least two A + . This means 2 * $5 = $10 for a B + if Paul gets at least two A + . We know Paul would get twice the reward of a B + if he gets an A. This means 2 * $5 = $10 for every A. However, we know his reward for every A could be (2x) doubled if he obtains at least two A + . This means 2 * $10 = $20 for every A if Paul gets at least two A + . We learn here then that Paul will get a higher reward for obtaining A grades ($20) than getting A + grades ($15) as long as he's able to score at least two A + . To maximize his payout, Paul will need to get only (2) two A + from his 10 courses. Therefore he should aim to get an A in the remaining 10 - 2 = 8 courses. Assuming Paul can get two A + and eight A in his next scorecard his total payout would be 2 * $15 + 8 * $20. This translates into $30 + $160 or $190. The answer is 190.
Question: George's bowling team is one round away from breaking the league record for most points scored in a season. The old record is an average score per player of 287 per round. Each team has 4 players and there are 10 rounds in the season. Through the first 9 rounds, his team has scored a total of 10,440. How many points less than the current league record per game average is the minimum average they need to score, per player, in the final round to tie the league record?
Answer: The old team per round record is 1,148 because 287 x 4 = 1,148. The team season record is 11,480 because 10 x 1,248 = 11,480. They need 1,040 points in the final round to tie the record because 11,480 - 10,440 = 1,040. They need to average 260 points each because 1,040 / 4 = 260. This is 27 points less than the current record average because 287 - 260 = 27. The answer is 27.
Q: Marcus, Humphrey, and Darrel are bird watching. Marcus sees 7 birds, Humphrey sees 11 birds, and Darrel sees 9 birds. How many birds does each of them see on average?
A:
They see 27 total birds because 9 + 11 + 7 = 27. They see an average of 9 birds each because 27 / 3 = 9. The answer is 9.