The price of a certain laptop is discounted by 20% and the reduced price is then discounted by 20%. This series of successive discounts is equivalent to a single discount of :
Answer & explanation
Correct answer: option 4
Let initial price = 100x
According to question ,
New price = 100x × \(\frac{80}{100}\) × \(\frac{80}{100}\)
= 100x × \(\frac{4}{5}\) × \(\frac{4}{5}\)
= 64x
Required percentage = \(\frac{100x - 64x}{100x}\) × 100
= 36%