A shopkeeper offers two successive discounts of 15% and 20% on an article and is still able to earn a 70% profit. If he offers a single discount of 30%, what will his profit percentage be?

75%

Let the MRP = 100.

Selling price of the article = 100 of (100-15)% of (100-20)%

= 100 ×  \(\frac{85}{100}\)  ×  \(\frac{80}{100}\)

= 68

He is still able to earn a 70% profit.

Cost price of the article = \(\frac{68}{17}\)  ×  100 = 40

If he offers a single discount of 30%, then selling price = 100 of (100-30)%

= 100 of 70%

= 70

New profit percentage = \(\frac{70 - 40}{40}\) ×  100 = 75%