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Ravi found that he had made a loss of 10% while selling his smartphone. He also found that had he sold it for Rs.100 more, he would have made a profit of 10%. The initial loss was what percentage of the profit earned, had he sold the smartphone for a 10% profit ?
  • a)
    100%
  • b)
    118%
  • c)
    75%
  • d)
    85%
  • e)
    None of the Above
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Ravi found that he had made a loss of 10% while selling his smartphone...
Profit= 10%
10% of CP = Rs. 100
CP = Rs. 1000
Now, Loss% = 10%
Loss =Rs. 100
Required % = (100/100)*100 = 100%
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Most Upvoted Answer
Ravi found that he had made a loss of 10% while selling his smartphone...
Given:
- Ravi made a loss of 10% while selling his smartphone.
- If he had sold it for Rs.100 more, he would have made a profit of 10%.

To find:
- The initial loss as a percentage of the profit earned, had he sold the smartphone for a 10% profit.

Solution:
Let's assume the cost price of the smartphone is Rs.X.

Selling Price with a loss of 10%:
The selling price of the smartphone with a loss of 10% can be calculated using the formula:
Selling Price = Cost Price - Loss
Selling Price = X - 10% of X
Selling Price = X - 0.1X
Selling Price = 0.9X

Selling Price with a profit of 10%:
The selling price of the smartphone with a profit of 10% can be calculated using the formula:
Selling Price = Cost Price + Profit
Selling Price = X + 10% of X
Selling Price = X + 0.1X
Selling Price = 1.1X

Given:
If Ravi had sold the smartphone for Rs.100 more, he would have made a profit of 10%.
So, we can write the equation:
0.9X + 100 = 1.1X

Solving the equation:
0.9X + 100 = 1.1X
100 = 1.1X - 0.9X
100 = 0.2X
X = 100/0.2
X = 500

So, the cost price of the smartphone is Rs.500.

Initial Loss:
The initial loss can be calculated using the formula:
Initial Loss = Cost Price - Selling Price with a loss of 10%
Initial Loss = 500 - 0.9(500)
Initial Loss = 500 - 450
Initial Loss = 50

Profit earned with a selling price 10% higher:
The profit earned with a selling price 10% higher can be calculated using the formula:
Profit Earned = Selling Price with a profit of 10% - Cost Price
Profit Earned = 1.1(500) - 500
Profit Earned = 550 - 500
Profit Earned = 50

Calculating the percentage:
To find the initial loss as a percentage of the profit earned, we can use the formula:
Percentage = (Initial Loss / Profit Earned) * 100
Percentage = (50 / 50) * 100
Percentage = 100%

Therefore, the initial loss was 100% of the profit earned, had Ravi sold the smartphone for a 10% profit.
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Ravi found that he had made a loss of 10% while selling his smartphone. He also found that had he sold it for Rs.100 more, he would have made a profit of 10%. The initial loss was what percentage of the profit earned, had he sold the smartphone for a 10% profit ?a)100%b)118%c)75%d)85%e)None of the AboveCorrect answer is option 'A'. Can you explain this answer?
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Ravi found that he had made a loss of 10% while selling his smartphone. He also found that had he sold it for Rs.100 more, he would have made a profit of 10%. The initial loss was what percentage of the profit earned, had he sold the smartphone for a 10% profit ?a)100%b)118%c)75%d)85%e)None of the AboveCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Ravi found that he had made a loss of 10% while selling his smartphone. He also found that had he sold it for Rs.100 more, he would have made a profit of 10%. The initial loss was what percentage of the profit earned, had he sold the smartphone for a 10% profit ?a)100%b)118%c)75%d)85%e)None of the AboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ravi found that he had made a loss of 10% while selling his smartphone. He also found that had he sold it for Rs.100 more, he would have made a profit of 10%. The initial loss was what percentage of the profit earned, had he sold the smartphone for a 10% profit ?a)100%b)118%c)75%d)85%e)None of the AboveCorrect answer is option 'A'. Can you explain this answer?.
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