The price of an item is increased by 40%. By what percent should the new price…
2023
The price of an item is increased by 40%. By what percent should the new price be decreased to bring it back to the original price?
Answer: C. 28.57 — Solution: Find the percent decrease needed to return the price to the original. Let the original price be 100. After a 40% increase the new price is 100 ×…
- A.
40
- B.
30
- C.
28.57
- D.
32
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Correct answer: C
Solution: Find the percent decrease needed to return the price to the original.
Let the original price be 100.
After a 40% increase the new price is 100 × 1.40 = 140.
Let x be the percent decrease required. Then 140 × (1 − x/100) = 100.
Solve: 1 − x/100 = 100/140 = 5/7, so x/100 = 1 − 5/7 = 2/7, hence x = 200/7 ≈ 28.571...
Answer: Decrease the new price by 200/7 percent, which is approximately 28.57%.