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By selling 20 pens a shopkeeper gains equal to the selling price of 4 pens. What is his gain percent?
- a)15%
- b)20%
- c)25%
- d)30%
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
By selling 20 pens a shopkeeper gains equal to the selling price of 4 ...
Let selling price of 20 pens = Rs. 20
∴ Now Gain = Rs. 4
Cost Price = 20 – 4 = 16
Hence Gain percent 4/16 x 100 = 25%
∴ Now Gain = Rs. 4
Cost Price = 20 – 4 = 16
Hence Gain percent 4/16 x 100 = 25%
Most Upvoted Answer
By selling 20 pens a shopkeeper gains equal to the selling price of 4 ...
25% is correct answer. I explain this question. Let the of
1 pen=Rs1.
Then sp of 20 pen=Rs 20
Profit=Rs4. Cp=sp-p. SO 20-4=16.P%=4/16*100=25%
1 pen=Rs1.
Then sp of 20 pen=Rs 20
Profit=Rs4. Cp=sp-p. SO 20-4=16.P%=4/16*100=25%
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Community Answer
By selling 20 pens a shopkeeper gains equal to the selling price of 4 ...
Given:
Number of pens sold = 20
Profit gained per pen = Selling price of 4 pens
To find:
Profit percentage
Solution:
Profit gained per pen is equal to the selling price of 4 pens. Let's say the selling price of 1 pen is x.
Selling price of 4 pens = 4x
Profit gained per pen = 4x
Profit gained by selling 20 pens = Profit gained per pen × Number of pens sold
= 4x × 20
= 80x
Profit percentage = (Profit gained / Cost price) × 100
Let's assume the cost price of 20 pens is y.
Cost price of 20 pens = y
Profit gained = Selling price - Cost price
= 80x - y
Now, profit percentage = (80x - y) / y × 100
Since we need to find the gain percentage, we can assume the cost price of 20 pens to be 100 (for simplicity).
Cost price of 20 pens = 100
Profit gained = 80x - 100
Profit percentage = (80x - 100) / 100 × 100
= (80x - 100) × 1
= 80x - 100
Now, we need to find the value of x.
Given that selling price of 4 pens is equal to the profit gained per pen, we can set up the following equation:
4x = 80x - 100
100 = 80x - 4x
100 = 76x
x = 100 / 76
x ≈ 1.3158
Substituting the value of x in the profit percentage equation:
Profit percentage = 80(1.3158) - 100
≈ 105.2632 - 100
≈ 5.2632
Therefore, the gain percentage is approximately 5.2632%.
However, none of the given options match this value. It seems there may be an error in the question or options provided.
Number of pens sold = 20
Profit gained per pen = Selling price of 4 pens
To find:
Profit percentage
Solution:
Profit gained per pen is equal to the selling price of 4 pens. Let's say the selling price of 1 pen is x.
Selling price of 4 pens = 4x
Profit gained per pen = 4x
Profit gained by selling 20 pens = Profit gained per pen × Number of pens sold
= 4x × 20
= 80x
Profit percentage = (Profit gained / Cost price) × 100
Let's assume the cost price of 20 pens is y.
Cost price of 20 pens = y
Profit gained = Selling price - Cost price
= 80x - y
Now, profit percentage = (80x - y) / y × 100
Since we need to find the gain percentage, we can assume the cost price of 20 pens to be 100 (for simplicity).
Cost price of 20 pens = 100
Profit gained = 80x - 100
Profit percentage = (80x - 100) / 100 × 100
= (80x - 100) × 1
= 80x - 100
Now, we need to find the value of x.
Given that selling price of 4 pens is equal to the profit gained per pen, we can set up the following equation:
4x = 80x - 100
100 = 80x - 4x
100 = 76x
x = 100 / 76
x ≈ 1.3158
Substituting the value of x in the profit percentage equation:
Profit percentage = 80(1.3158) - 100
≈ 105.2632 - 100
≈ 5.2632
Therefore, the gain percentage is approximately 5.2632%.
However, none of the given options match this value. It seems there may be an error in the question or options provided.
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By selling 20 pens a shopkeeper gains equal to the selling price of 4 pens. What is his gain percent?a)15%b)20%c)25%d)30%Correct answer is option 'C'. Can you explain this answer?
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