. A person marks his 40 items at 20% above of the cost price. He sells 10 items at a 10% discount and 20 items at a 15% discount on the marked price. What is the maximum discount (rounded off) he can offer on the remaining items if he still gets some profit?

Let CP of each item= INR 1
CP of 40 items= INR 40
MP of 40 items= 40 x 120/100 = INR 48
Now,
Profit for 10 items sold at 10% discount = 10 x (120/100) x (90/100) = 10.8
Profit for 20 items sold at 15% discount = 20 x (120/100) x (85/100) = 20.4
MP of 10 items remained = 10 x (120/100) = 12
Net Profit = Profit - (CP of 40 items) = 12 + 10.8 + 20.4 - 40 = 43.2 - 40 = 3.2
We can still adjust a discount of 3.2 on the remaining items,
Hence,
Discount % = (3.2/12) x 100 = 26.67%
Hence, if provided a discount of 26%, he can still earn some profit.

26 (25.8 %)

24%