Math worksheet with percentage increase and decrease word problems.

Sure! Let’s solve each of the 6 percentage increase/decrease problems step by step, showing all workings.

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Problem 1:
> Last week I bought a kilogram of tomatoes for $2. This week the price was only $1.50 a kilogram. By what percentage did the price decrease?

✔ Solution:

Step 1: Find the amount of decrease.
Decrease = Original Price – New Price
= $2.00 – $1.50 = $0.50

Step 2: Divide the decrease by the original price.
= $0.50 / $2.00 = 0.25

Step 3: Multiply by 100 to get percentage.
= 0.25 × 100 = 25%

✔ Answer: The price decreased by 25%.

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Problem 2:
> Yesterday at noon the temperature was 32 degrees celsius. Today at noon it was 40 degrees. By what percentage did the temperature increase?

✔ Solution:

Step 1: Find the amount of increase.
Increase = New Temp – Original Temp
= 40 – 32 = 8 degrees

Step 2: Divide the increase by the original temperature.
= 8 / 32 = 0.25

Step 3: Multiply by 100.
= 0.25 × 100 = 25%

✔ Answer: The temperature increased by 25%.

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Problem 3:
> The price of a liter of milk increased 10% compared with last year. If the new price is $1.21 per liter, what was last year’s price?

✔ Solution:

Let last year’s price = x

It increased by 10%, so:
New Price = x + 10% of x = x(1 + 0.10) = 1.10x

We are told new price = $1.21

So:
1.10x = 1.21

Solve for x:
x = 1.21 ÷ 1.10 = 1.10

✔ Answer: Last year’s price was $1.10 per liter.

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Problem 4:
> Maria works and gets $7.50 per hour. Her boss is so happy with her work that he decided to raise her pay with $1.50 per hour. What percentage was her pay raise?

✔ Solution:

Step 1: Amount of raise = $1.50

Step 2: Divide by original pay:
= 1.50 / 7.50 = 0.20

Step 3: Multiply by 100:
= 0.20 × 100 = 20%

✔ Answer: Her pay raise was 20%.

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Problem 5:
> Peter deposited $1,000 dollars in a bank account. After 5 years he had $1,500 in his account. By what percentage did his bank balance grow?

✔ Solution:

Step 1: Amount of growth = Final – Initial
= $1,500 – $1,000 = $500

Step 2: Divide by original amount:
= 500 / 1000 = 0.50

Step 3: Multiply by 100:
= 0.50 × 100 = 50%

✔ Answer: His bank balance grew by 50%.

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Problem 6:
> The rent on my apartment is $1,200 a month. I asked the landlord to lower the rent by 10%. Luckily he agreed. What is the new monthly rent I have to pay?

✔ Solution:

Step 1: Calculate 10% of $1,200:
= 10% × 1200 = 0.10 × 1200 = $120

Step 2: Subtract from original rent:
= 1200 – 120 = $1,080

✔ Answer: The new monthly rent is $1,080.

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## ✔ Final Answers Summary:

1. 25% decrease
2. 25% increase
3. $1.10
4. 20% raise
5. 50% growth
6. $1,080

Let me know if you’d like these explained differently or need visual diagrams!