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| Answer:10% and 16.67% respectively. |
| First merchant puts 10% profit. Second one puts 20% profit. |
| We don’t know how much each merchant paid for 100 candy bars. Let us assume 100x dollars. |
| The first merchant gets 10% profit, which means 10x dollars. Profit is calculated based on cost price. |
| The second merchant gets 20% profit, which means 20x dollars. |
| Now the second merchant bought 40 candies from first merchant. |
| The cost price of 40 candies at first merchant is 40x. The selling price is 10% more than cost price. |
| So the cost price of 40 candies at second merchant is 44x. |
| Selling price of 40 candies at second merchant is 20% more than the selling price at whole sale dealer 40x. |
| So the selling price of 40 candies at second merchant is 48x. |
| So the profit on 40 candies at second merchant = Selling price – cost price = 48x - 44x = 4x. |
| Total profit for the second merchant = 20x + 4x = 24x. |
| Total cost price = 100x + 44x = 144x. |
| So Profit percentage is (24x /144x) x 100 = 16.66666% |
| So the profits gained by the two merchants are 10% and 16.67% respectively. |
| Winners:Sumanth Nethi followed by Raghu Ayinapurapu. |
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