Multiple choice

Marked price of an item is Rs. 200. On purchase of 1 item discount is 22%, on purchase of 4 items discount is 33%. Rabia buys 5 items, what is the effective discount?

  1. 35 percent

  2. 30.8 percent

  3. 34 percent

  4. 20.4 percent

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total marked price for 5 items = 5 * 200 = 1000. Discount for 4 items is 33%, so 4 * 200 * 0.67 = 536. The 5th item has 22% discount, so 200 * 0.78 = 156. Total paid = 536 + 156 = 692. Effective discount = (1000 - 692) / 1000 = 30.8%.

AI explanation

Rabia buys 1 item with a 22% discount on the Rs. 200 marked price, making its cost 200 times 0.78, which is Rs. 156. She buys 4 items with a 33% discount, making their combined marked price 800, and their cost 800 times 0.67, which is Rs. 536. Her total cost is 156 plus 536, equaling Rs. 692, while the total marked price for 5 items is Rs. 1000. The effective discount is 1000 minus 692, equaling Rs. 308, which yields an effective discount percentage of (308 / 1000) times 100, resulting in 30.8 percent.