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After giving 20% discount on an article there is a profit of 20%. What will be the profit percentage when no discount is given?
- a)40
- b)44
- c)54
- d)50
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
After giving 20% discount on an article there is a profit of 20%. What...
Let the CP of the article = Rs. 100
Profit = 20%
⇒ SP = Rs. 120
Discount given on MP = 20%
⇒ SP = 80% of MP = 120
MP = Rs. 150
When no discount is given,
SP = Rs. 150
∴ Profit = 50%
⇒ SP = Rs. 120
Discount given on MP = 20%
⇒ SP = 80% of MP = 120
MP = Rs. 150
When no discount is given,
SP = Rs. 150
∴ Profit = 50%
Most Upvoted Answer
After giving 20% discount on an article there is a profit of 20%. What...
To solve this problem, let's assume the cost price of the article is Rs. 100.
Given:
Discount = 20%
Profit = 20%
Step 1: Calculate the selling price after giving a 20% discount.
Discount = 20% of the cost price = 20/100 * 100 = Rs. 20
Selling price = Cost price - Discount = 100 - 20 = Rs. 80
Step 2: Calculate the cost price when there is a profit of 20%.
Let the cost price be x.
Profit = 20% of the cost price = 20/100 * x = 0.2x
Selling price = Cost price + Profit = x + 0.2x = 1.2x
Since the selling price after giving a discount is Rs. 80, we can write the equation:
1.2x = 80
Step 3: Solve the equation to find the value of x.
Divide both sides of the equation by 1.2:
x = 80/1.2 = Rs. 66.67 (approximately)
So, the cost price of the article is approximately Rs. 66.67.
Step 4: Calculate the profit percentage when no discount is given.
Profit = Selling price - Cost price = 80 - 66.67 = Rs. 13.33
Profit percentage = (Profit/Cost price) * 100 = (13.33/66.67) * 100 = 20%
Therefore, the profit percentage when no discount is given is 20%.
Hence, the correct answer is option D) 50%.
Given:
Discount = 20%
Profit = 20%
Step 1: Calculate the selling price after giving a 20% discount.
Discount = 20% of the cost price = 20/100 * 100 = Rs. 20
Selling price = Cost price - Discount = 100 - 20 = Rs. 80
Step 2: Calculate the cost price when there is a profit of 20%.
Let the cost price be x.
Profit = 20% of the cost price = 20/100 * x = 0.2x
Selling price = Cost price + Profit = x + 0.2x = 1.2x
Since the selling price after giving a discount is Rs. 80, we can write the equation:
1.2x = 80
Step 3: Solve the equation to find the value of x.
Divide both sides of the equation by 1.2:
x = 80/1.2 = Rs. 66.67 (approximately)
So, the cost price of the article is approximately Rs. 66.67.
Step 4: Calculate the profit percentage when no discount is given.
Profit = Selling price - Cost price = 80 - 66.67 = Rs. 13.33
Profit percentage = (Profit/Cost price) * 100 = (13.33/66.67) * 100 = 20%
Therefore, the profit percentage when no discount is given is 20%.
Hence, the correct answer is option D) 50%.
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After giving 20% discount on an article there is a profit of 20%. What will be the profit percentage when no discount is given?a)40b)44c)54d)50Correct answer is option 'D'. Can you explain this answer?
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