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?
- A35 percent
- B30.8 percent
- C34 percent
- D20.4 percent
Solution & Step-by-step Explanation
Marked price of 1 item = Rs 200.
Total marked price of 5 items = 5×200=Rs 1000.
Rabia buys 5 items, which can be grouped as a combination of 4 items and 1 item to maximize or apply the given discount schemes:
Discount on 4 items = 33% of (4×200)=0.33×800=Rs 264.
Discount on 1 item = 22% of 200=0.22×200=Rs 44.
Total discount received = 264+44=Rs 308.
Effective discount percentage=
Total Marked Price
Total Discount
×100
Effective discount percentage=
1000
308
×100=30.8%
Total marked price of 5 items = 5×200=Rs 1000.
Rabia buys 5 items, which can be grouped as a combination of 4 items and 1 item to maximize or apply the given discount schemes:
Discount on 4 items = 33% of (4×200)=0.33×800=Rs 264.
Discount on 1 item = 22% of 200=0.22×200=Rs 44.
Total discount received = 264+44=Rs 308.
Effective discount percentage=
Total Marked Price
Total Discount
×100
Effective discount percentage=
1000
308
×100=30.8%