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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:
27%
28%
24%
25%
- The cost price of all 40 items is `40x.`
- Some items are sold at the cost price of 26 items, implying their sale price is `26x.`
- The profit on these items is 30%, so their cost price is `26x / 1.3`, which equals 20 items.
- Thus, 20 items are sold at a 30% profit, and the remaining 20 items at an 18% profit.
- The profit from the first group is `20 * 0.3x = 6x.`
- The profit from the second group is `20 * 0.18x = 3.6x.`
- Total profit is `6x + 3.6x = 9.6x.`
- The overall profit percentage is `(9.6x / 40x) * 100% = 24%.`
Therefore, the correct option is:
Option 3: 24%
By: santosh ProfileResourcesReport error
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