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If a discount of 15 percent is given on an article then the shopkeeper make a profit of 5 percent. Find the percent profit made by the seller when a discount of 10 percent is given
- a)11.3/17 %
- b)11.4/17 %
- c)11.5/17 %
- d)11.7/17 %
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If a discount of 15 percent is given on an article then the shopkeeper...
(85/100)*mp = (105/100)*cp
(90/100)*mp = [(100+p)/100]*(85/105)*mp
(90/100)*mp = [(100+p)/100]*(85/105)*mp
Most Upvoted Answer
If a discount of 15 percent is given on an article then the shopkeeper...
To find the percent profit made by the seller when a discount of 10 percent is given, we can use the concept of cost price, selling price, and profit percentage.
Let's assume the cost price of the article is $100.
Given that a discount of 15 percent is given, the selling price would be 85 percent of the cost price, which is:
Selling price = Cost price - (Discount percentage * Cost price)
Selling price = $100 - (0.15 * $100)
Selling price = $100 - $15
Selling price = $85
Since the shopkeeper makes a profit of 5 percent, the selling price would be 105 percent of the cost price, which is:
Selling price = Cost price + (Profit percentage * Cost price)
$85 = Cost price + (0.05 * Cost price)
$85 = Cost price + $0.05Cost price
$85 = $1.05Cost price
Simplifying the equation, we have:
$1.05Cost price = $85
Cost price = $85 / $1.05
Cost price = $80
Now, let's find the selling price when a discount of 10 percent is given:
Selling price = Cost price - (Discount percentage * Cost price)
Selling price = $80 - (0.10 * $80)
Selling price = $80 - $8
Selling price = $72
To calculate the profit percentage, we can use the formula:
Profit percentage = (Profit / Cost price) * 100
Profit = Selling price - Cost price
Profit = $72 - $80
Profit = -$8 (negative profit indicates a loss)
Profit percentage = (-$8 / $80) * 100
Profit percentage = -10%
Therefore, the percent profit made by the seller when a discount of 10 percent is given is -10%, which means there is a loss of 10%.
None of the given options (A, B, C, D) are correct.
Let's assume the cost price of the article is $100.
Given that a discount of 15 percent is given, the selling price would be 85 percent of the cost price, which is:
Selling price = Cost price - (Discount percentage * Cost price)
Selling price = $100 - (0.15 * $100)
Selling price = $100 - $15
Selling price = $85
Since the shopkeeper makes a profit of 5 percent, the selling price would be 105 percent of the cost price, which is:
Selling price = Cost price + (Profit percentage * Cost price)
$85 = Cost price + (0.05 * Cost price)
$85 = Cost price + $0.05Cost price
$85 = $1.05Cost price
Simplifying the equation, we have:
$1.05Cost price = $85
Cost price = $85 / $1.05
Cost price = $80
Now, let's find the selling price when a discount of 10 percent is given:
Selling price = Cost price - (Discount percentage * Cost price)
Selling price = $80 - (0.10 * $80)
Selling price = $80 - $8
Selling price = $72
To calculate the profit percentage, we can use the formula:
Profit percentage = (Profit / Cost price) * 100
Profit = Selling price - Cost price
Profit = $72 - $80
Profit = -$8 (negative profit indicates a loss)
Profit percentage = (-$8 / $80) * 100
Profit percentage = -10%
Therefore, the percent profit made by the seller when a discount of 10 percent is given is -10%, which means there is a loss of 10%.
None of the given options (A, B, C, D) are correct.
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