A person purchased 40 items at some price. He sold some items at a profit of 30% by selling them at a price equal to the cost price of 26 items. The remaining items are sold at 18% profit. The total profit percentage is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 24%.
| Understanding | Application |
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Let the cost price of one article is x rupees. So cost price of 40 items is 40x. Cost price of 26 items is 26x Selling price = {(100 + Profit%)/C.P}100 Let y articles sold at 30% profit Cost price of y items is xy |
Selling Price of y items = {(100 + 30)/100}xy = 1.3xy Given selling price of articles sold at 30% is equal to cost price of 26 items. 1.3xy = 26x y = 20 So, 20 items are sold at 30% profit. Number of items remaining = 40 * 20 = 20 Selling price of item sold at 18% profit = {(100+18)/100}20x = 23.6x Total selling price = 26x + 23.6x = 49.6x Cost price = 40x Profit = {(Selling Price - Cost Price )/Cost Price}100 = {(49.6x - 40x)/40x}100 = 24% |