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If a discount of 10 percent is given on the marked price of the article then the seller gains 20 percent profit. Find the percent profit if the article is sold at 20 percent discount.
- a)10/3 %
- b)20/3 %
- c)25/3 %
- d)40/3 %
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If a discount of 10 percent is given on the marked price of the articl...
Let marked price = 100
90 = (120/100)*cp, cp = 75
Now discount = 20% so, SP = 80
% profit = [(80 – 75)/75]*100 = 20/3
90 = (120/100)*cp, cp = 75
Now discount = 20% so, SP = 80
% profit = [(80 – 75)/75]*100 = 20/3
Most Upvoted Answer
If a discount of 10 percent is given on the marked price of the articl...
Let's assume the marked price of the article is M.
Given that a discount of 10% is given on the marked price, the selling price (S) can be calculated as:
S = M - (10/100)M
S = M - 0.1M
S = 0.9M
We are also given that the seller gains a 20% profit on the marked price. Profit is calculated as the difference between the selling price and the cost price (C), so we can write:
Profit = S - C
Since the seller gains a 20% profit, we can say:
Profit = (20/100)M
We want to find the percentage profit if the article is sold at a 20% discount. Let's calculate the selling price after a 20% discount:
S' = S - (20/100)S
S' = 0.8S
Now, let's substitute the value of S in terms of M into the equation above:
S' = 0.8(0.9M)
S' = 0.72M
We can calculate the cost price (C) by subtracting the profit from the selling price:
C = S' - Profit
C = 0.72M - (20/100)M
C = 0.72M - 0.2M
C = 0.52M
Now, let's calculate the profit percentage when the article is sold at a 20% discount:
Profit% = (Profit/C) * 100
Profit% = [(20/100)M / (0.52M)] * 100
Profit% = (20/52) * 100
Profit% = (500/13) ≈ 38.46
Therefore, the percentage profit when the article is sold at a 20% discount is approximately 38.46%, which is option B.
Given that a discount of 10% is given on the marked price, the selling price (S) can be calculated as:
S = M - (10/100)M
S = M - 0.1M
S = 0.9M
We are also given that the seller gains a 20% profit on the marked price. Profit is calculated as the difference between the selling price and the cost price (C), so we can write:
Profit = S - C
Since the seller gains a 20% profit, we can say:
Profit = (20/100)M
We want to find the percentage profit if the article is sold at a 20% discount. Let's calculate the selling price after a 20% discount:
S' = S - (20/100)S
S' = 0.8S
Now, let's substitute the value of S in terms of M into the equation above:
S' = 0.8(0.9M)
S' = 0.72M
We can calculate the cost price (C) by subtracting the profit from the selling price:
C = S' - Profit
C = 0.72M - (20/100)M
C = 0.72M - 0.2M
C = 0.52M
Now, let's calculate the profit percentage when the article is sold at a 20% discount:
Profit% = (Profit/C) * 100
Profit% = [(20/100)M / (0.52M)] * 100
Profit% = (20/52) * 100
Profit% = (500/13) ≈ 38.46
Therefore, the percentage profit when the article is sold at a 20% discount is approximately 38.46%, which is option B.
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