The cost of apples is increased by 20% and then decreased by 20%. What is the net percentage change in the price?

Question: The cost of apples is increased by 20% and then decreased by 20%. What is the net percentage change in the price?

Answer: 

To find the net percentage change when the price of apples is first increased by 20% and then decreased by 20%, we use the formula for successive percentage change:

$$\text{Net change} = a + b + \frac{ab}{100}$$

where:

• $a = 20\%$ (increase)
• $b = -20\%$ (decrease)

Substituting the values:

$$\text{Net change} = 20 + (-20) + \frac{(20 \times -20)}{100}$$ $$= 0 - 4 = -4\%$$

Thus, the net percentage change is a 4% decrease in price.

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