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
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
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
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
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
Natalie sold lavenders and tulips in her shop on Mother's Day. 70% of the flowers she sold on that day were lavenders and she sold 81 tulips.

1. What was the total number of flowers sold?
2. 10% of the flowers in the shop were sold on that day. 10% of the flowers left were tulips. How many tulips were left?

Level 3
20% of Nick's savings was $120 more than 30% of Will's savings. After Nick spent ²₃ of his savings and Will spent 40% of his savings, Nick had $13 more than Will. How much was Nick's saving at first?

Level 3
Container A contains 480 blue buttons and 590 purple buttons. Container B contains 590 blue buttons and 410 purple buttons. How many blue buttons and purple buttons must be removed from Container B to put into Container A so that 50% of the buttons in Container A are blue and 60% of the buttons in Container B are blue?

Level 3
Wendy had $779 more than Hazel. Wendy spent 0.6 of her money and Hazel spent 50% of her money. In the end, Wendy and Hazel had the same amount of money left. Find the amount of money that Wendy had in the end.

Level 3
A store owner had 130 more oranges than lemons. After he sold 80% of the oranges and 30% of the lemons, he was left 19 more lemons than oranges. What fraction of the fruits left were lemons?

Level 3
Yvonne and George collect pens and stickers. George has 70 more stickers than pens. George has 3 times the number of pens Yvonne has, and Yvonne has 40% more stickers than George. After Yvonne gives George all of her pens and George gives Yvonne 60% of his stickers, George has 64 more pens than stickers. Find the number of stickers Yvonne has at first.

Level 3
Marion had some red and pink marbles. If she gives away 16 red marbles, the number of red marbles will be 10% of the total number of marbles left. If she gives away 48 pink marbles, the number of red marbles will be 25% of the total number of marbles left.

1. How many marbles does Marion have altogether?
2. What fraction of Marion's marbles is pink?

Level 3
Sarah had 70% as many candies as Xuan. Sarah gave away 10% of her candies and Xuan bought another 99 candies. As a result, Sarah now has 30% as many candies as Xuan. Find the number of candies that Xuan had at first.

Level 3
On Monday, there were 320 more adults than children at the funfair. On Tuesday, the number of adults increased by 65% and the number of children increased by 55%. There were 1552 people on Tuesday. How many adults were there on Monday?

Level 3
At a conference made up of speakers and participants, there were 10% more men than women. The ratio of the male speakers to female speakers was 8 : 5. There was an equal number of male and female participants.

1. Find the ratio of male speakers to male participants at the conference at first.
2. Halfway, 89 male participants left the conference and another 73 female participants joined the conference. In the end, there were ³₄ as many male participants as female participants remaining behind. How many speakers were there at the conference?

Level 3
10 days ago, Ruth had a total of 250 green and violet stickers. 40% of her stickers were violet stickers. Today, her father gave her some more stickers. As a result, her green stickers increased by 30%. Now, 50% of her stickers are violet stickers. How many violet stickers did her father give her?

Level 3
Dina spent 60% of her money on a number of pens. She spent 25% of the remaining money on a few highlighters and 50% of what was left on a number of sketchbooks.

1. What fraction of her money was left?
2. Given that the pens cost $36 more than the sketchbooks, find the sum of money Dina had at first.

Level 3
A philanthropist bought a total of $19380 worth of toys, textbooks and clothes to donate to the needy children. The number of clothes bought was 20% more than the number of toys bought but 20% fewer than the number of textbooks bought. The toy cost $12 each and was $2 more expensive than each textbook but 40% cheaper than each piece of clothes. How many toys and textbooks did the philanthropist donate to the needy children?