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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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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? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about 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? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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