An article is listed at Tk. 900 and two successive discounts of 8% and 8% are given on it. How much would the seller gain or lose, if he gives a single discount of 16%, instead of two discounts?

Question: An article is listed at Tk. 900 and two successive discounts of 8% and 8% are given on it. How much would the seller gain or lose, if he gives a single discount of 16%, instead of two discounts?

Solution:
Marked Price = Tk. 900
Price after two successive discounts of 8% and 8%:
First discount = 8% of 900 = Tk. 72
Price after first discount = 900 - 72 = Tk. 828
Second discount = 8% of 828 = Tk. 66.24
Final Price = 828 - 66.24 = Tk. 761.76

Price after single discount of 16%:
Single discount = 16% of 900 = Tk. 144
Final Price = 900 - 144 = Tk. 756

∴ Difference = 761.76 - 756 = Tk. 5.76

The seller receives Tk. 5.76 less if he gives a single 16% discount instead of two successive 8% discounts.
Therefore, the seller will suffer a loss of Tk. 5.76.

Correct Option: C) Loss, Tk. 5.76