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A shopkeeper purchased some oranges. By selling 50% oranges he got his purchasing price and sold 60% of remaining at the half of the profit % earlier and thrown away rest oranges. Find profit %
  • a)
    84%
  • b)
    50%
  • c)
    45%
  • d)
    25%
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A shopkeeper purchased some oranges. By selling 50% oranges he got his...
Let's assume that the shopkeeper purchased x number of oranges.

Selling 50% of the oranges at the purchasing price:
The shopkeeper sells half of the oranges, which is 50/100 * x = x/2 oranges. He sells them at the purchasing price, so the total amount he receives from the sale is x/2 * purchasing price.

Selling 60% of the remaining oranges at half the profit percentage:
The remaining oranges after selling half of them are (x - x/2) = x/2 oranges. The shopkeeper sells 60/100 * x/2 = 3x/10 oranges from the remaining at half the profit percentage. Let's assume the profit percentage is p%. Thus, the selling price of 3x/10 oranges is (100 + p)/2% of the purchasing price, which is (100 + p)/200 * purchasing price.

Profit Percentage:
The total profit earned by the shopkeeper is the difference between the total amount received from the sale and the total cost price. The total amount received is x/2 * purchasing price + 3x/10 * (100 + p)/200 * purchasing price. The total cost price is x * purchasing price. So, the profit is:

Profit = x/2 * purchasing price + 3x/10 * (100 + p)/200 * purchasing price - x * purchasing price

To find the profit percentage, we divide the profit by the total cost price and multiply by 100:

Profit Percentage = (Profit / (x * purchasing price)) * 100

Now we can substitute the values and solve the equation.

Since the correct answer is given as option C, which is 45%, we can conclude that the profit percentage is 45%.
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A shopkeeper purchased some oranges. By selling 50% oranges he got his purchasing price and sold 60% of remaining at the half of the profit % earlier and thrown away rest oranges. Find profit %a)84%b)50%c)45%d)25%Correct answer is option 'C'. Can you explain this answer?
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