Marked price of an item is Rs 500. On purchase of 2 items discount is 8%, on purchase of 3 items discount is 16%. Radha buys 5 items, what is the effective discount?

Let's find the total marked price and total discount for the 5 items purchased by Radha:
Total items = 5 (broken down into a group of 2 items and a group of 3 items).

For the first 2 items:
Marked Price = 2×500=Rs 1000
Discount = 8% of Rs 1000 =
100
8
​
×1000=Rs 80

For the next 3 items:
Marked Price = 3×500=Rs 1500
Discount = 16% of Rs 1500 =
100
16
​
×1500=Rs 240

Total Calculation:
Total Marked Price of 5 items = 1000+1500=Rs 2500
Total Discount received = 80+240=Rs 320

Effective Discount Percentage:

Effective Discount %=(
Total Marked Price
Total Discount
​
)×100
Effective Discount %=(
2500
320
​
)×100=
25
320
​
=12.8%