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If selling price is doubled, the profit triples. Find the profit percent ?
- a)100%
- b)200%
- c)300%
- d)400%
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If selling price is doubled, the profit triples. Find the profit perce...
Let the C.P be Rs.100 and S.P be Rs.x, Then
The profit is (x-100)
Now the S.P is doubled, then the new S.P is 2x
New profit is (2x-100)
Now as per the given condition;
⇒ 3(x-100) = 2x-100
By solving, we get x = 200
Then the Profit percent = (200-100)/100 = 100
Hence the profit percentage is 100%
The profit is (x-100)
Now the S.P is doubled, then the new S.P is 2x
New profit is (2x-100)
Now as per the given condition;
⇒ 3(x-100) = 2x-100
By solving, we get x = 200
Then the Profit percent = (200-100)/100 = 100
Hence the profit percentage is 100%
Most Upvoted Answer
If selling price is doubled, the profit triples. Find the profit perce...
Given:
- Selling price is doubled
- Profit triples
To find:
- Profit percent
Let's assume:
- The cost price of the item is 'x'
- The selling price is 'y'
- The profit earned is 'z'
Calculating profit:
- Profit = Selling price - Cost price
- z = y - x
Given that:
- When the selling price is doubled, the profit triples
- This means that when the selling price is doubled, the new profit will be three times the original profit
- Therefore, the new profit will be 3z
Calculating new selling price:
- When the selling price is doubled, it becomes 2y
Calculating new profit:
- New profit = New selling price - Cost price
- 3z = 2y - x
Equating the new profit with the original profit:
- 3z = 2y - x
- z = (2y - x)/3
Simplifying the equation:
- z = (2y/3) - (x/3)
Calculating the profit percent:
- Profit percent = (Profit / Cost price) * 100
- Profit percent = (z / x) * 100
Substituting the value of z:
- Profit percent = ((2y/3) - (x/3)) / x * 100
- Profit percent = (2y - x) / (3x) * 100
Given that:
- When the selling price is doubled, the profit triples
- Therefore, 3z = 2y - x
Substituting the value of 3z:
- Profit percent = 3z / (3x) * 100
- Profit percent = z / x * 100
- Profit percent = (Profit / Cost price) * 100
Conclusion:
- From the given information, it can be concluded that the profit percent is equal to the profit divided by the cost price, which is 100%. Hence, the correct answer is option 'A' - 100%.
- Selling price is doubled
- Profit triples
To find:
- Profit percent
Let's assume:
- The cost price of the item is 'x'
- The selling price is 'y'
- The profit earned is 'z'
Calculating profit:
- Profit = Selling price - Cost price
- z = y - x
Given that:
- When the selling price is doubled, the profit triples
- This means that when the selling price is doubled, the new profit will be three times the original profit
- Therefore, the new profit will be 3z
Calculating new selling price:
- When the selling price is doubled, it becomes 2y
Calculating new profit:
- New profit = New selling price - Cost price
- 3z = 2y - x
Equating the new profit with the original profit:
- 3z = 2y - x
- z = (2y - x)/3
Simplifying the equation:
- z = (2y/3) - (x/3)
Calculating the profit percent:
- Profit percent = (Profit / Cost price) * 100
- Profit percent = (z / x) * 100
Substituting the value of z:
- Profit percent = ((2y/3) - (x/3)) / x * 100
- Profit percent = (2y - x) / (3x) * 100
Given that:
- When the selling price is doubled, the profit triples
- Therefore, 3z = 2y - x
Substituting the value of 3z:
- Profit percent = 3z / (3x) * 100
- Profit percent = z / x * 100
- Profit percent = (Profit / Cost price) * 100
Conclusion:
- From the given information, it can be concluded that the profit percent is equal to the profit divided by the cost price, which is 100%. Hence, the correct answer is option 'A' - 100%.
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If selling price is doubled, the profit triples. Find the profit percent ?a)100%b)200%c)300%d)400%Correct answer is option 'A'. Can you explain this answer?
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