Level 3
In a shop, the number of cartons of mangosteen juice sold was ¹₅ the number of cartons left. When 42 more cartons were sold, the total number of cartons sold was 28 less than ⁸₁₃ the number of cartons the shop had at first. How many cartons were there at first?

Level 3
On Monday, 700 more youths than children attended a concert. On Tuesday, the number of youths decreased by 30% and the number of children increased by 80%. 1240 audience attended the concert on Tuesday. If each ticket cost $12, how much money was collected from the sale of concert tickets for the two days?

Level 3
Olivia, Zoe, Betty and Natalie received a sum of money. Olivia received ³₈ of the total amount of money Zoe, Betty and Natalie received. Zoe received ¹₇ of the total amount of money Betty and Natalie received. Betty received ¹₃ as much money as Natalie. If Olivia received $275 more than Betty, find the total sum of money the 4 girls received.

Level 3
Four years ago, Will's age was 25% of Ray's age. Eight years from their current age, Will's age will be 37.5% of Ray's age. How many years is Ray older than Will?

Level 3
Olivia, Natalie and Kate have 264 marbles. Natalie has ⁷₉ as many marbles as Olivia. Kate's marbles is ¹₂ of the total number of Olivia's and Natalie's marbles. How many marbles must Natalie give to Kate so that both Olivia and Kate will have the same number of marbles?

Level 3
Sarah bought a total of 300 big and small candies. Then she decided to exchange 60% of her big candies for the small ones in the ratio of 3 : 5. After the exchange, she had 366 candies. What percentage of the candies she bought were small ones?

Level 3
Jack, George, Henry and Asher shared $1495. Asher received ³₁₀ of the total amount of money received by Jack, George and Henry. Jack received ³₇ of the total amount for George and Henry. George received ²₃ as much money as Henry. If George gave all his money to Asher, how much did Asher have more than Jack in the end?

Level 3
The number of 20-cent coins in a basket was 100% more than the number of 10-cent coins. 13 twenty-cent coins were taken out and exchanged for 10-cent coins. The number of 20-cent coins became ⁵₈ less than the number of 10-cent coins. How much money is there in the basket?

Level 3
20% of the people are performers for a concert and the rest are spectators. 80% of the spectators are adults and there are 3900 more adults spectators than children spectators. How many adult spectators must leave so that 25% of the people in the concert are adult spectators?

Level 3
Vincent has some 20-cent coins and 50-cent coins which amount to more than $20 but less than $54. The number of 20-cent coins is ¹₄ of all the coins he has. When he exchanges some 50-cent coins for 20-cent coins, the ratio of the number of 50-cent coins to 20-cent coins he now has become 1 : 6.

1. What is the largest possible amount of money Vincent has?
2. What is the total value of 50-cent coins that has been exchanged for 20-cent coins? Express the answer to 2 decimal place.

Level 3
Last month Mr Zhang gave his wife, Anna $4000 for household expenditure. Anna spent 60% of the sum on rental, 30% on food and saved the rest. This month, Mr Zhang reduced the sum he gave to Anna. Anna spent the same amount on rental and reduced the amount she spent on food by 30%. She saved the remaining 10% of the sum given to her this month. By what percentage was the sum given to Anna reduced?

Level 3
Faith baked a total of 350 muffins and puffs. After giving away 80% of the puffs and 75% of the muffins, she was left with twice as many puffs as muffins. Find the number of puffs Faith gave away.

Level 3
There were 286 students in a school. On the school anniversary, ⁵₆ of the girls and ⁴₅ of the boys came in green caps. The rest came in yellow caps. The number of boys who wore yellow caps was four times of the girls who wore yellow caps. How many students were in green caps that day?

Level 3
There are 200 more teachers in School X than in School Y. After 25% of the teachers left School X and 50% of teachers left School Y, the number of teachers who remained in School X is thrice that of the number of teachers in School Y. Find the number of teachers in School X at first.

Level 3
The total number of beads in Basket W, Basket X and Basket Y was 273. ²₉ of the beads from Basket W and 21 beads from Basket X were removed. More beads were then added into Basket Y until the number of beads in it was doubled. The ratio of the number of beads in Basket W to Basket X to Basket Y became 7 : 2 : 2.

1. How many more beads were there in Basket W than Basket X at first?
2. Find the total number of beads in Basket W and Basket Y in the end.

Level 3
There were some pink erasers and blue erasers. The erasers were packed into 2 bags. At first, Bag A contained 480 erasers and 40% of them were blue erasers. Bag B contained 300 erasers and 80% of them were blue erasers. How many pink erasers and blue erasers in total must be moved from Bag A to Bag B such that 20% of the erasers in Bag A are pink and 50% of the erasers in Bag B are blue?

Level 3
There are 25% more red crayons than blue crayons in a bag. After John removed 40% of the red crayons and increased the number of blue crayons by 10%, there are now 70 fewer red crayons than blue crayons. Find the number of blue crayons at first.

Level 3
In a thrift shop, the number of beads was ²₃ of the total number of beads and erasers together. The shopkeeper sold the beads and erasers in sets of 1 bead and 4 erasers. After selling all the erasers, he still had 133 beads left. How many erasers were in the thrift shop at first?

Level 3
A store had 390 story books. There were Chinese, Malay and English story books in the ratio of 4 : 3 : 6. When the store assistant brought in another 60 new story books, the number of Chinese story books was increased by 20% and the number of Malay story books was increased by ¹₁₀.

1. What was the number of English story books that the store assistant brought in?
2. What was the percentage increase in the number of English story books?