Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable

Let's solve each of these percentage increase/decrease problems step by step, showing all workings.

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1. Tomatoes Price Decrease

Problem:
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:

- Original price = $2.00
- New price = $1.50
- Decrease in price = $2.00 - $1.50 = $0.50

To find the percentage decrease:

$$
\text{Percentage decrease} = \left( \frac{\text{Decrease}}{\text{Original}} \right) \times 100 = \left( \frac{0.50}{2.00} \right) \times 100 = 0.25 \times 100 = 25\%
$$

✔ Answer: 25% decrease

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2. Temperature Increase

Problem:
Yesterday at noon the temperature was 32°C. Today at noon it was 40°C. By what percentage did the temperature increase?

Solution:

- Original temperature = 32°C
- New temperature = 40°C
- Increase = 40 - 32 = 8°C

$$
\text{Percentage increase} = \left( \frac{8}{32} \right) \times 100 = 0.25 \times 100 = 25\%
$$

✔ Answer: 25% increase

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3. Milk Price – Find Last Year’s Price

Problem:
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 be $ x $.
A 10% increase means:

$$
x + 10\% \text{ of } x = 1.21 \\
x + 0.10x = 1.21 \\
1.10x = 1.21
$$

Now divide both sides by 1.10:

$$
x = \frac{1.21}{1.10} = 1.10
$$

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

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4. Maria’s Pay Raise Percentage

Problem:
Maria works and gets $7.50 per hour. Her boss raised her pay by $1.50 per hour. What percentage was her pay raise?

Solution:

- Original pay = $7.50
- Raise = $1.50

$$
\text{Percentage raise} = \left( \frac{1.50}{7.50} \right) \times 100 = 0.20 \times 100 = 20\%
$$

✔ Answer: 20% raise

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5. Bank Balance Growth

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

Solution:

- Initial amount = $1,000
- Final amount = $1,500
- Increase = $1,500 - $1,000 = $500

$$
\text{Percentage growth} = \left( \frac{500}{1000} \right) \times 100 = 0.5 \times 100 = 50\%
$$

✔ Answer: 50% growth

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6. Rent Reduction

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

Solution:

- Original rent = $1,200
- 10% of $1,200 = $1,200 × 0.10 = $120

New rent = $1,200 - $120 = $1,080

Alternatively:
$$
\text{New rent} = 1,200 \times (1 - 0.10) = 1,200 \times 0.90 = 1,080
$$

✔ Answer: $1,080 per month

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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

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