Level 3
At the pet shelter, the rabbit population increased by 20% in the second month and then by a further 30% in the next 2 months. If there were 585 rabbits in the end, how many rabbits were there at the pet shelter at first?
4 m
Level 3
Belinda made a profit of 50% from the sale of a dress and a profit of 80% from the sale of a shirt. The total profit she made from the two items was $91. She later sold a similar dress at a discount of 20% off the advertised price. Her total profit for the three items then increased to $121.
  1. Find the profit made on the shirt.
  2. How much did she sell the shirt for?
4 m
Level 3
Madam Naz made pies for sale. 45% of the pies were chicken pies and the rest were potato and sardine pies in the ratio 3 : 1. If a customer bought 75% of the chicken pies and all of the sardine pies, what percentage of the potato pies must Madam Naz sell for her to maintain the original percentage of chicken pies at first? Leave your answer in mixed numbers.
5 m
Level 3
Tim's and Natalie's monthly allowances were the same at first. Tim's allowance increased by 50% while Natalie's increased by 20%. Given that Tim's allowance would increase by another 20% if he had received $300 more from his father, find the difference in the children's monthly allowances.
5 m
Level 3
Leonard had $80 more than his sister. After Leonard spent 25% of his money and his sister spent 75% of her money, they still had $420 left altogether.
  1. How much did Leonard have left in the end?
  2. Express the amount of money his sister had left as a fraction of the amount of money Leonard had in the end. (Give your answer in the simplest form)
5 m
Level 3
25 of the crayons in a bag were red and the rest were blue and yellow. 20% of the blue crayons and 12% of the yellow crayons were thrown away. There was an equal number of blue and yellow crayons left. If there were 352 blue and yellow crayons left,
  1. what was the number of red crayons?
  2. what was the total number of crayons in the bag at first?
5 m
Level 3
Benita's salary is 20% less than Amanda's salary and 40% less than Cecilia's salary. If Amanda's salary is $500 less than that of Cecilia's salary,
  1. Find Benita's salary.
  2. Given that Benita received a 20% pay cut, find Benita's new salary.
4 m
Level 3
A shopkeeper is selling 700 sketch books. He sold 60% of them at $8 each, 50% of the remainder at a discount of 40% and the rest at cost price. He made a profit of $2912. Find the cost price of a sketch book.
4 m
Level 3
In a shop that sells t-shirts, 250 blue t-shirts were sold weekly and 25% of the remaining t-shirts that were sold were red. Of the leftover, 40% of the t-shirts sold were yellow t-shirts and the rest were black t-shirts. Given that the number of black t-shirts sold was 20% of the total number of t-shirts sold, how many red and blue t-shirts were sold altogether?
4 m
Level 3
Edward spent $340 on shopping, $650 on transport and gave 60% of the remainder to his wife. He then saved the rest of the money, which amounted to 10% of his original sum of money. How much did he give his wife?
4 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
60% of the sweets in Packet A were blueberry sweets and the rest were strawberry sweets. Packet B had 25% more blueberry sweets than packet A and twice as many sweets than the total number of sweets in Packet A. Find the percentage of the strawberry sweets in Packet B that would need to be transferred into Packet A, so that there were an equal number of blueberry and strawberry sweets in Packet A.
4 m
Level 3
At an event held at the stadium, 80% of the audience were adults. The female audience was made up of 70% of the children and 30% of the adults. There were 64 more girls than boys.
  1. How many people went to the stadium in total?
  2. Some women left before the event ended, after which 20% of the remaining people at the stadium were women. How many women left the stadium before it ended?
5 m
Level 3
Nera and Rose shared a bag of marbles. Nera had 40% as many marbles as Rose. When Rose gave 75 marbles to Nera, Nera had 40% more marbles than Rose. Find the total number of marbles the girls shared.
4 m
Level 3
There were some avocados in 3 boxes, E, F and G. 30% of the number of avocados in Box E was equal to 60% of the number of avocados in Box F. The number of avocados in Box G was 60% of the total number of avocados in Box E and F. After Oscar removed 20% of the avocados in Box G, there were 88 more avocados in Box F than in Box G. In the end, how many avocados should be transferred from Box F to Box G so that the avocados in Box G would be the same as Box E?
5 m
Level 3
The number of safety cones along the road was 55% of the number of trees planted along it. After 68 safety cones and 68 trees were added to the stretch of road, the number of trees became 20% more than the number of safety cones. How many trees were there at first?
4 m
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?
4 m
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?
5 m
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?
5 m
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.
4 m