Question
Download Solution PDFThe increase in the price of a certain item was 25%. Then the price was decreased by 20% and then again increased by 10%. What is the resultant increase in the price ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The increase in the price of a certain item was 25%. Then the price was decreased by 20% and then again increased by 10%.
Formula used:
Resultant Price = Initial Price × (1 + Increase%) × (1 - Decrease%) × (1 + Increase%)
Calculation:
Let the initial price be 100 units.
After 25% increase:
Price = 100 × (1 + 0.25)
⇒ Price = 100 × 1.25 = 125 units
After 20% decrease:
Price = 125 × (1 - 0.20)
⇒ Price = 125 × 0.80 = 100 units
After 10% increase:
Price = 100 × (1 + 0.10)
⇒ Price = 100 × 1.10 = 110 units
Resultant Increase = 110 - 100 = 10 units
Resultant Increase % = (10 / 100) × 100 = 10%
∴ The correct answer is option 4.
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