Percent Decrease: Higher-Order Multi-Step Problems

1) A bicycle costs $240. The store reduces it by 25% and then adds tax of 10% on the reduced price. What is the final cost?

$180

$198

$200

$210

25% of 240 = 60 → 180; 10% of 180 = 18 → 198.

Explanation

25% of 240 = 60 → 180; 10% of 180 = 18 → 198.

2) A factory produced 10,000 items last year. This year, production dropped by 15%. How many items were produced this year?

8,000

8,500

8,750

9,000

15% of 10,000 = 1,500 → 8,500.

Explanation

15% of 10,000 = 1,500 → 8,500.

3) A phone price decreased from $600 to $480. Later, it decreased again to $432. What is the overall percent decrease from the original?

25%

28%

30%

32%

Net decrease = 600 – 432 = 168; 168/600 = 28%.

Explanation

Net decrease = 600 – 432 = 168; 168/600 = 28%.

4) A company’s revenue decreased from $2,400,000 to $1,920,000. What was the percent decrease?

15%

18%

20%

22%

Decrease = 480,000. (480,000 ÷ 2,400,000) × 100 = 20%.

Explanation

Decrease = 480,000. (480,000 ÷ 2,400,000) × 100 = 20%.

Submit

6) The population of a town decreased by 10% one year and another 20% the next year. What is the overall percent decrease after 2 years?

28%

30%

32%

35%

0.9 × 0.8 = 0.72 → 72% remains → 28% decrease.

Explanation

0.9 × 0.8 = 0.72 → 72% remains → 28% decrease.

7) An $800 laptop is reduced by 25%. Later, the store offers an additional $100 off. What is the final price?

$500

$510

$520

$530

25% of 800 = 200 → 600; minus 100 → 500.

Explanation

25% of 800 = 200 → 600; minus 100 → 500.

8) A percent decrease of 40% is the same as multiplying the original amount by 0.6.

True

False

Remaining amount = 100% – 40% = 60%.

Multiplying by 0.6 gives the reduced value.

Explanation

Remaining amount = 100% – 40% = 60%.

Multiplying by 0.6 gives the reduced value.

9) A bookstore had 1,200 books. 25% were removed. Later, 20% of the remaining books were sold. How many books are left?

700

720

750

800

25% off → 900; 20% of 900 = 180 → 720.

Explanation

25% off → 900; 20% of 900 = 180 → 720.

10) A phone’s price decreased by 20% and is now $400. What was the original price?

$450

$480

$500

$520

New price is 80% of original: 400 ÷ 0.8 = 500.

Explanation

New price is 80% of original: 400 ÷ 0.8 = 500.

11) If a price decreases by 25% and then increases by 25%, the final price returns to the original.

True

False

0.75 × 1.25 = 0.9375 → 93.75% of original.

Explanation

0.75 × 1.25 = 0.9375 → 93.75% of original.

12) The population of a town decreased from 90,000 to 72,000. What was the percent decrease?

18%

20%

25%

30%

Decrease = 18,000. (18,000 ÷ 90,000) × 100 = 20%.

Explanation

Decrease = 18,000. (18,000 ÷ 90,000) × 100 = 20%.

13) A $200 jacket is discounted by 30%. Then, another 20% discount is applied. The final price is $___.

30% of 200 = 60 → 140; 20% of 140 = 28 → 112.

Explanation

30% of 200 = 60 → 140; 20% of 140 = 28 → 112.

Submit

14) A store reduced a $300 item by 10% twice. The final price is $240.

True

False

10% off → 270; another 10% → 243, not 240.

Explanation

10% off → 270; another 10% → 243, not 240.

15) The number of students decreased from 3/4 of the school to 2/3 of the school. What is the percent decrease relative to the total school population?

8%

10%

12%

15%

75% to ~66.7% → ~8.3% decrease ≈ 8%.

Explanation

75% to ~66.7% → ~8.3% decrease ≈ 8%.

Multi-Step Percent Decrease