One single discount which is equivalent to 20%, 10% and 5% is given by:
Answer & explanation
Correct answer: option 4
Let Marked Price = 100x
According to question ,
Price after 3 successive discount = (100-5)% of (100-10)% of (100-20)% of 100x
= 95% of 90% of 80% of 100x
= \(\frac{95}{100}\) × \(\frac{90}{100}\) × \(\frac{80}{100}\) × 100x
= 68.40x
Required discount = \(\frac{100x - 68.40x}{100x}\) × 100
= 31.60%