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Deepak found that he had made a loss of 10% while selling his smartphone. He also found that had he sold it for Rs.50 more, he would have made a profit of 5%. The initial loss was what percentage of the profit earned, had he sold the smartphone for a 5% profit ?
- a)100%
- b)200%
- c)75%
- d)85%
- e)None of the Above
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Deepak found that he had made a loss of 10% while selling his smartpho...
Profit= 5%
5% of CP = Rs. 50
CP = Rs. 1000
Now, Loss% = 10%
Loss =Rs. 100
Required % = (100/50)*100 = 200%
5% of CP = Rs. 50
CP = Rs. 1000
Now, Loss% = 10%
Loss =Rs. 100
Required % = (100/50)*100 = 200%
Most Upvoted Answer
Deepak found that he had made a loss of 10% while selling his smartpho...
Let's assume the cost price of the smartphone is Rs. x.
Loss of 10%:
When Deepak sells the smartphone, he incurs a loss of 10%. This means he sells the smartphone for 90% of its cost price.
Selling Price = Cost Price - Loss
Selling Price = x - (10/100)x
Selling Price = x - 0.1x
Selling Price = 0.9x
Profit of 5%:
If Deepak had sold the smartphone for Rs. 50 more, he would have made a profit of 5%. This means he would have sold the smartphone for 105% of its cost price.
Selling Price = Cost Price + Profit
Selling Price = x + (5/100)x
Selling Price = x + 0.05x
Selling Price = 1.05x
Equation:
According to the given information, Deepak would have made a profit of 5% if he had sold the smartphone for Rs. 50 more. This can be represented as an equation:
1.05x = 0.9x + 50
Solving the equation:
Subtracting 0.9x from both sides, we get:
0.15x = 50
Dividing both sides by 0.15, we get:
x = 50/0.15
x = 333.33
Calculating the initial loss percentage:
The initial loss percentage is the difference between the cost price and the selling price (with a loss) divided by the profit percentage. It can be calculated as:
Initial Loss Percentage = ((Cost Price - Selling Price with Loss) / (Selling Price with Profit - Cost Price with Loss)) * 100
Initial Loss Percentage = ((x - 0.9x) / (1.05x - 0.9x)) * 100
Initial Loss Percentage = (0.1x / 0.15x) * 100
Initial Loss Percentage = (0.1/0.15) * 100
Initial Loss Percentage = (2/3) * 100
Initial Loss Percentage = 66.67
Therefore, the initial loss was 66.67% of the profit earned when Deepak sold the smartphone for a 5% profit.
- The correct answer is option 'B' (200%).
Loss of 10%:
When Deepak sells the smartphone, he incurs a loss of 10%. This means he sells the smartphone for 90% of its cost price.
Selling Price = Cost Price - Loss
Selling Price = x - (10/100)x
Selling Price = x - 0.1x
Selling Price = 0.9x
Profit of 5%:
If Deepak had sold the smartphone for Rs. 50 more, he would have made a profit of 5%. This means he would have sold the smartphone for 105% of its cost price.
Selling Price = Cost Price + Profit
Selling Price = x + (5/100)x
Selling Price = x + 0.05x
Selling Price = 1.05x
Equation:
According to the given information, Deepak would have made a profit of 5% if he had sold the smartphone for Rs. 50 more. This can be represented as an equation:
1.05x = 0.9x + 50
Solving the equation:
Subtracting 0.9x from both sides, we get:
0.15x = 50
Dividing both sides by 0.15, we get:
x = 50/0.15
x = 333.33
Calculating the initial loss percentage:
The initial loss percentage is the difference between the cost price and the selling price (with a loss) divided by the profit percentage. It can be calculated as:
Initial Loss Percentage = ((Cost Price - Selling Price with Loss) / (Selling Price with Profit - Cost Price with Loss)) * 100
Initial Loss Percentage = ((x - 0.9x) / (1.05x - 0.9x)) * 100
Initial Loss Percentage = (0.1x / 0.15x) * 100
Initial Loss Percentage = (0.1/0.15) * 100
Initial Loss Percentage = (2/3) * 100
Initial Loss Percentage = 66.67
Therefore, the initial loss was 66.67% of the profit earned when Deepak sold the smartphone for a 5% profit.
- The correct answer is option 'B' (200%).
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Deepak found that he had made a loss of 10% while selling his smartphone. He also found that had he sold it for Rs.50 more, he would have made a profit of 5%. The initial loss was what percentage of the profit earned, had he sold the smartphone for a 5% profit ?a)100%b)200%c)75%d)85%e)None of the AboveCorrect answer is option 'B'. Can you explain this answer?
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