Math Drills
Finding the Compared Quantity
B-2Word Problems (Increase/Decrease, 2 Steps)
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What this worksheet covers
- Topic
- Percentage
- Worksheet
- Finding the Compared Quantity
The base amount is multiplied by a percentage to give the amount it stands for. Word problems come with the percentage shown as a decimal and shown as a percent, and they run through percentages above 100%, amounts after an increase or a decrease with profit or a discount folded in, and two-stage questions taking a part of a whole and then a part of that.
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A question taking a part and then a part of it needs two multiplications. An expression that adds the two percentages first, or settles for a single multiplication, never shows the intermediate amount of the first stage. Whether two multiplications starting from the base amount stand in the expression box is the mark.
In Finding the Base Quantity the multiplication turns into a division, and the percentage together with the amount it stands for is placed at the start instead. The direction that multiplies to reach an answer is complete here.
- Finding the Amount After an Increase2 questions
- Finding the Amount After a Decrease2 questions
- % (Two Successive Stages)2 questions
Questions & answers
Problems and answers on this worksheet
These are the problems in “Percentage”, shown with their answers.
(1)The number of oranges yesterday was 36. The number of oranges today is 25% more than yesterday. How many oranges are there today? Answer □
Answer: 45oranges
(2)A professional camera was bought for 7000 dollars, and a regular price was set by adding a profit of 10% of the purchase price. What is the regular price of this camera, in how many dollars? Answer □
Answer: 7700dollars
(3)The thick wire is 120cm long. The thin wire is 10% shorter than the thick wire. How long is the thin wire, in how many cm? Answer □
Answer: 108cm
(4)There are 750 harvested oranges. 60% of them were shipped out. How many oranges are left? how many Answer □
Answer: 300oranges
(5)The library has 1500 books. 40% of all the books are stories, and 30% of the stories are Japanese works. How many Japanese stories are there? Answer □
Answer: 180books
(6)There are 250 cows at a ranch. 80% of them are dairy cows, and 50% of the dairy cows were born this year. How many dairy cows were born this year? Answer □
Answer: 100cows
What to do next
More worksheets in this unit
Finding the PercentageFinding the Percentage Word Problems (Decimals, Basic)
Finding the PercentageFinding the Percentage Word Problems (%, Application)
Finding the Compared QuantityFinding the Compared Quantity Word Problems (Basic)
Finding the Base QuantityFinding the Base Quantity Word Problems (Decimals, %)
