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A shopkeeper by selling 14 items, earns a profit equal to the selling price of 6 items. What is his profit percentage?
- a)60
- b)65
- c)70
- d)75
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A shopkeeper by selling 14 items, earns a profit equal to the selling ...
Let SP of 1 item = 10/-
SP of 14 items = 140/-
Profit = SP of 6 items = 60/-
CP = SP - Profit = 140 - 60 = 80/-
Profit % = 60/80 x 100 = 75
So the answer is option D.
Most Upvoted Answer
A shopkeeper by selling 14 items, earns a profit equal to the selling ...
Given:
- Number of items sold = 14
- Profit earned = Selling price of 6 items
To find:
- Profit percentage
Solution:
To find the profit percentage, we need to compare the profit earned with the cost price of the items sold.
Step 1: Calculate the cost price of 14 items:
Let's assume the cost price of each item is 'x'.
So, the cost price of 14 items = 14x
Step 2: Calculate the selling price of 6 items:
Let's assume the selling price of each item is 'y'.
So, the selling price of 6 items = 6y
Step 3: Calculate the profit:
Profit = Selling price - Cost price
Profit = 6y - 14x
Step 4: Calculate the profit percentage:
Profit percentage = (Profit / Cost price) * 100
Profit percentage = [(6y - 14x) / (14x)] * 100
Since the profit earned is equal to the selling price of 6 items, we can write:
6y - 14x = 6y
Simplifying the equation, we get:
-14x = 0
x = 0
Substituting the value of x in the profit percentage equation, we get:
Profit percentage = [(6y - 14(0)) / (14(0))] * 100
Profit percentage = [6y / 0] * 100
Dividing by 0 is undefined. Therefore, we cannot calculate the profit percentage.
Conclusion:
There seems to be an error in the given information or calculations. It is not possible to determine the profit percentage based on the given details.
- Number of items sold = 14
- Profit earned = Selling price of 6 items
To find:
- Profit percentage
Solution:
To find the profit percentage, we need to compare the profit earned with the cost price of the items sold.
Step 1: Calculate the cost price of 14 items:
Let's assume the cost price of each item is 'x'.
So, the cost price of 14 items = 14x
Step 2: Calculate the selling price of 6 items:
Let's assume the selling price of each item is 'y'.
So, the selling price of 6 items = 6y
Step 3: Calculate the profit:
Profit = Selling price - Cost price
Profit = 6y - 14x
Step 4: Calculate the profit percentage:
Profit percentage = (Profit / Cost price) * 100
Profit percentage = [(6y - 14x) / (14x)] * 100
Since the profit earned is equal to the selling price of 6 items, we can write:
6y - 14x = 6y
Simplifying the equation, we get:
-14x = 0
x = 0
Substituting the value of x in the profit percentage equation, we get:
Profit percentage = [(6y - 14(0)) / (14(0))] * 100
Profit percentage = [6y / 0] * 100
Dividing by 0 is undefined. Therefore, we cannot calculate the profit percentage.
Conclusion:
There seems to be an error in the given information or calculations. It is not possible to determine the profit percentage based on the given details.
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A shopkeeper by selling 14 items, earns a profit equal to the selling price of 6 items. What is his profit percentage?a)60b)65c)70d)75Correct answer is option 'D'. Can you explain this answer?
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