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?
5 m
Level 3
Olivia has 60% as many erasers as Penny. Penny has 180% as many erasers as Kate. If Penny gives 30 erasers to Kate, both will then have an equal number of erasers. Find the average number of erasers the three of them have.
3 m
Level 3
Oscar, Ethan and Fred had some balls. Ethan had 40% more balls than Oscar. Ethan had 35 of Fred's. After Oscar gave 18 balls to Ethan, he had 12 of what Ethan had. How many more balls did Fred have than Ethan in the end?
5 m
Level 3
Mrs Yap had 40% more books than Mdm Zhang. Miss Lin had 20% fewer books than Mrs Yap. Mrs Yap and Mdm Zhang gave Miss Lin some books in the ratio of 1 : 4. As a result, Miss Lin had 50% more books than before. Given that Miss Lin had 423 more books than Mdm Zhang in the end, how many books did Mrs Yap give to Miss Lin?
5 m
Level 3
A crate contains some kiwis, Fuji apples and watermelons. 0.4 of the Fuji apples is equal to 80% of the kiwis. The number of watermelons is 12 of the total number of kiwis and Fuji apples. If there are 44 more watermelons than kiwis, how many fruits are there in the crate altogether?
4 m
Level 3
Cathy, Zoe and Ruth went shopping together. They brought a total of $1633 with them. Cathy spent 50% of her money. Zoe spent $224 and Ruth spent twice as much money as Cathy. In the end, they had $785 left. How much money did Zoe and Ruth have altogether in the end?
4 m
Level 3
In a container, there are candies of 3 colours, yellow, white and purple. There are 108 more white candies than purple candies. The number of purple candies is 12 more than the yellow candies. Given that the number of purple candies is 24% of the total number of candies in the container, how many more white candies are there than yellow candies?
4 m
Level 3
The average number of mangosteens in Carton C, Carton D and Carton E is 24 and it is 8 more than the average number of papayas in the 3 cartons. 16 of the papayas are in Carton C and the papayas in Carton C is 80% of the number of papayas in Carton D. If each carton has the same number of fruits, what percentage of the fruits in Carton E are mangosteens?
5 m
Level 3
Three women, Mrs Zhang, Mrs Lin and Mrs Yap went on a shopping spree. 30% of Mrs Zhang's spending is equal to 15 of Mrs Lin's spending. Mrs Yap's spending is 40% more than Mrs Lin's. If Mrs Lin spends another $804, she will spend the same amount of money as Mrs Yap.
  1. Find the ratio of Mrs Zhang's spending to Mrs Lin's to Mrs Yap's.
  2. How much did Mrs Zhang spend?
4 m
Level 3
Sean, Tim, Fred and Mark paid a total of $132 for a souvenir. Mark paid 38 of what the rest paid. Sean paid 20% of what the rest paid. Tim and Fred paid an equal amount of money. How much did Fred pay?
4 m