A person marks his 40 items at 20% above 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?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 26%
| Understanding | Application |
| We will use properties of profit, loss & discount. |
Let the cost price = 100 Marked Price = 100 × 1.2 = 120 10% discount will be = 120 × 0.9 = 108 Total = 108 × 10 = 1080 15% discount will be = 120 × 0.85 = 102 Total = 102 × 20 = 2040 Total cost price of 40 units = 40 × 100 = 4000 Selling price of(10 + 20) items = 2040 + 1080 = 3120 Loss = 3120 - 4000 = 880 Which will be covered via 10 units, SP of one unit = 880 / 10 = 88 Discount% = 120 - 88 / 120 = 0.2667 = 26.67% |