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A trader sold an article for rupees 810 after giving a discount of 10 percent on the labelled price and gain 20% percent. What will be the profit percent when the article is sold at labelled price.
- a)100/7 %
- b)100/3 %
- c)200/3 %
- d)200/7 %
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A trader sold an article for rupees 810 after giving a discount of 10 ...
810 = (120/100)*p
cp = 675.
(90/100)*Mp = 810
Mp = 900.
% profit = [(900 – 675)/675]*100
cp = 675.
(90/100)*Mp = 810
Mp = 900.
% profit = [(900 – 675)/675]*100
Most Upvoted Answer
A trader sold an article for rupees 810 after giving a discount of 10 ...
To solve this problem, we need to calculate the profit percentage when the article is sold at the labeled price. Let's break down the steps to find the solution:
1. Find the cost price (CP):
We know that the trader sold the article for Rs. 810 after giving a discount of 10%. Therefore, the selling price (SP) is 90% of the labeled price (LP).
SP = LP - (10% of LP)
810 = LP - (0.10LP)
810 = 0.90LP
LP = 810 / 0.90
LP = 900
So, the labeled price (LP) is Rs. 900.
2. Find the profit:
The trader gained 20% on the cost price (CP). To find the profit, we need to calculate 20% of the cost price.
Profit = 20% of CP
Profit = 20/100 * CP
Profit = 1/5 * CP
3. Find the cost price (CP):
To find the cost price (CP), we can use the formula:
SP = CP + Profit
Since the selling price (SP) is the labeled price (LP), we can substitute LP for SP:
LP = CP + Profit
900 = CP + 1/5 * CP
900 = 6/5 * CP
CP = 900 * 5/6
CP = 750
4. Find the profit percentage:
Now that we have the cost price (CP) and the selling price (LP), we can calculate the profit percentage:
Profit Percentage = (Profit / CP) * 100
Profit Percentage = (1/5 * CP / CP) * 100
Profit Percentage = (1/5) * 100
Profit Percentage = 20%
Therefore, the profit percentage when the article is sold at the labeled price is 20%. The correct answer is option 'B' - 100/3%.
1. Find the cost price (CP):
We know that the trader sold the article for Rs. 810 after giving a discount of 10%. Therefore, the selling price (SP) is 90% of the labeled price (LP).
SP = LP - (10% of LP)
810 = LP - (0.10LP)
810 = 0.90LP
LP = 810 / 0.90
LP = 900
So, the labeled price (LP) is Rs. 900.
2. Find the profit:
The trader gained 20% on the cost price (CP). To find the profit, we need to calculate 20% of the cost price.
Profit = 20% of CP
Profit = 20/100 * CP
Profit = 1/5 * CP
3. Find the cost price (CP):
To find the cost price (CP), we can use the formula:
SP = CP + Profit
Since the selling price (SP) is the labeled price (LP), we can substitute LP for SP:
LP = CP + Profit
900 = CP + 1/5 * CP
900 = 6/5 * CP
CP = 900 * 5/6
CP = 750
4. Find the profit percentage:
Now that we have the cost price (CP) and the selling price (LP), we can calculate the profit percentage:
Profit Percentage = (Profit / CP) * 100
Profit Percentage = (1/5 * CP / CP) * 100
Profit Percentage = (1/5) * 100
Profit Percentage = 20%
Therefore, the profit percentage when the article is sold at the labeled price is 20%. The correct answer is option 'B' - 100/3%.
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A trader sold an article for rupees 810 after giving a discount of 10 percent on the labelled price and gain 20% percent. What will be the profit percent when the article is sold at labelled price.a)100/7 %b)100/3 %c)200/3 %d)200/7 %e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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