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Ravi bought 100 green apples and 65 red apples. The price of a green apple is thrice that of a red apple. 10 green apples and 5 red apples were spoiled during transportation. Each of the good apples is sold at the same price, which is 15% less than the cost price of a green apple. Find Ravi’s profit percentage

Question

Ravi bought 100 green apples and 65 red apples. The price of a green apple is thrice that of a red apple. 10 green apples and 5 red apples were spoiled during transportation. Each of the good apples is sold at the same price, which is 15% less than the cost price of a green apple. Find Ravi’s profit percentage

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Solution

Sure, let's solve this step by step:

Step 1: Calculate the number of good apples Ravi bought 100 green apples and 65 red apples. Out of these, 10 green apples and 5 red apples were spoiled. So, the number of good apples is (100-10) + (65-5) = 90 + 60 = 150.

Step 2: Calculate the cost price of all apples We know that the price of a green apple is thrice that of a red apple. Let's assume the cost of a red apple is x. So, the cost of a green apple is 3x. The total cost price of all apples is (1003x) + (65x) = 365x.

Step 3: Calculate the selling price of all good apples Each good apple is sold at the same price, which is 15% less than the cost price of a green apple. So, the selling price of each good apple is 3x - 0.153x = 2.55x. The total selling price of all good apples is 1502.55x = 382.5x.

Step 4: Calculate the profit The profit is the selling price minus the cost price, which is 382.5x - 365x = 17.5x.

Step 5: Calculate the profit percentage The profit percentage is (profit/cost price)*100, which is (17.5x/365x)*100 = 4.79%.

So, Ravi’s profit percentage is 4.79%.

This problem has been solved

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