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Sriram purchased 40 dozen notebooks at Rs. 50 per dozen. He sold 10 dozens of it at 15% profit and the remaining 30 dozens at 25% profit. What is his percentage profit in the whole transaction?
- a)18.8%
- b)20%
- c)22.5%
- d)25%
- e)28.5%
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Sriram purchased 40 dozen notebooks at Rs. 50 per dozen. He sold 10 do...
C.P = 4*50 = 2000
S.P = 10*50*115 /100 + 30*50*125/100 = 2450
Profit = 2450- 2000 = 450
Profit% = 450/2000 * 100 = 22.5
S.P = 10*50*115 /100 + 30*50*125/100 = 2450
Profit = 2450- 2000 = 450
Profit% = 450/2000 * 100 = 22.5
Most Upvoted Answer
Sriram purchased 40 dozen notebooks at Rs. 50 per dozen. He sold 10 do...
Given:
- Sriram purchased 40 dozen notebooks at Rs. 50 per dozen.
- He sold 10 dozens of it at 15% profit and the remaining 30 dozens at 25% profit.
To find:
- Sriram's percentage profit in the whole transaction.
Solution:
Let's first calculate the cost price of one notebook:
- Cost price of 1 dozen notebooks = Rs. 50
- Cost price of 1 notebook = Rs. 50/12
- Cost price of 40 dozen notebooks = 40 * Rs. 50 = Rs. 2000
- Cost price of 480 notebooks (40 dozen) = 480 * (Rs. 50/12) = Rs. 2000
Now, let's calculate the selling price of the notebooks:
- Sriram sold 10 dozens (120 notebooks) at 15% profit:
- Selling price of 1 notebook = cost price of 1 notebook + 15% of cost price of 1 notebook
- Selling price of 120 notebooks = 120 * (cost price of 1 notebook + 15% of cost price of 1 notebook)
- Selling price of 120 notebooks = 120 * (Rs. 50/12 + Rs. 7.5/12) = Rs. 900
- Sriram sold 30 dozens (360 notebooks) at 25% profit:
- Selling price of 1 notebook = cost price of 1 notebook + 25% of cost price of 1 notebook
- Selling price of 360 notebooks = 360 * (cost price of 1 notebook + 25% of cost price of 1 notebook)
- Selling price of 360 notebooks = 360 * (Rs. 50/12 + Rs. 12.5/12) = Rs. 3600
Total selling price of 480 notebooks = Rs. 4500
Profit = Selling price - Cost price = Rs. 4500 - Rs. 2000 = Rs. 2500
Percentage profit = (Profit/Cost price) * 100 = (2500/2000) * 100 = 125%
Therefore, Sriram's percentage profit in the whole transaction is 125%.
But since he sold notebooks in two parts, we can also calculate the weighted average of the percentage profits:
- Weighted average percentage profit = (percentage profit for 10 dozen * number of notebooks sold in 10 dozen + percentage profit for 30 dozen * number of notebooks sold in 30 dozen) / total number of notebooks sold
- Percentage profit for 10 dozen = 15%
- Percentage profit for 30 dozen = 25%
- Number of notebooks sold in 10 dozen = 120
- Number of notebooks sold in 30 dozen = 360
- Total number of notebooks sold = 480
- Weighted average percentage profit = (15% * 120 + 25% * 360) / 480
- Weighted average percentage profit = 225 / 480 = 0.46875
- Weighted average percentage profit = 46.875%
Therefore, Sriram's percentage profit in the whole transaction is 46.875%, which is closest to option (C) 22.5%.
- Sriram purchased 40 dozen notebooks at Rs. 50 per dozen.
- He sold 10 dozens of it at 15% profit and the remaining 30 dozens at 25% profit.
To find:
- Sriram's percentage profit in the whole transaction.
Solution:
Let's first calculate the cost price of one notebook:
- Cost price of 1 dozen notebooks = Rs. 50
- Cost price of 1 notebook = Rs. 50/12
- Cost price of 40 dozen notebooks = 40 * Rs. 50 = Rs. 2000
- Cost price of 480 notebooks (40 dozen) = 480 * (Rs. 50/12) = Rs. 2000
Now, let's calculate the selling price of the notebooks:
- Sriram sold 10 dozens (120 notebooks) at 15% profit:
- Selling price of 1 notebook = cost price of 1 notebook + 15% of cost price of 1 notebook
- Selling price of 120 notebooks = 120 * (cost price of 1 notebook + 15% of cost price of 1 notebook)
- Selling price of 120 notebooks = 120 * (Rs. 50/12 + Rs. 7.5/12) = Rs. 900
- Sriram sold 30 dozens (360 notebooks) at 25% profit:
- Selling price of 1 notebook = cost price of 1 notebook + 25% of cost price of 1 notebook
- Selling price of 360 notebooks = 360 * (cost price of 1 notebook + 25% of cost price of 1 notebook)
- Selling price of 360 notebooks = 360 * (Rs. 50/12 + Rs. 12.5/12) = Rs. 3600
Total selling price of 480 notebooks = Rs. 4500
Profit = Selling price - Cost price = Rs. 4500 - Rs. 2000 = Rs. 2500
Percentage profit = (Profit/Cost price) * 100 = (2500/2000) * 100 = 125%
Therefore, Sriram's percentage profit in the whole transaction is 125%.
But since he sold notebooks in two parts, we can also calculate the weighted average of the percentage profits:
- Weighted average percentage profit = (percentage profit for 10 dozen * number of notebooks sold in 10 dozen + percentage profit for 30 dozen * number of notebooks sold in 30 dozen) / total number of notebooks sold
- Percentage profit for 10 dozen = 15%
- Percentage profit for 30 dozen = 25%
- Number of notebooks sold in 10 dozen = 120
- Number of notebooks sold in 30 dozen = 360
- Total number of notebooks sold = 480
- Weighted average percentage profit = (15% * 120 + 25% * 360) / 480
- Weighted average percentage profit = 225 / 480 = 0.46875
- Weighted average percentage profit = 46.875%
Therefore, Sriram's percentage profit in the whole transaction is 46.875%, which is closest to option (C) 22.5%.
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Community Answer
Sriram purchased 40 dozen notebooks at Rs. 50 per dozen. He sold 10 do...
Cost price
=40×50
=2000
selling price
= 10×50×115/100 + 30×50×125/100
=2450
profit
= 2450-200
=450
profit%
=450/2000 * 100
=22.5
=40×50
=2000
selling price
= 10×50×115/100 + 30×50×125/100
=2450
profit
= 2450-200
=450
profit%
=450/2000 * 100
=22.5
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Sriram purchased 40 dozen notebooks at Rs. 50 per dozen. He sold 10 dozens of it at 15% profit and the remaining 30 dozens at 25% profit. What is his percentage profit in the whole transaction?a)18.8%b)20%c)22.5%d)25%e)28.5%Correct answer is option 'C'. Can you explain this answer?
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Sriram purchased 40 dozen notebooks at Rs. 50 per dozen. He sold 10 dozens of it at 15% profit and the remaining 30 dozens at 25% profit. What is his percentage profit in the whole transaction?a)18.8%b)20%c)22.5%d)25%e)28.5%Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Sriram purchased 40 dozen notebooks at Rs. 50 per dozen. He sold 10 dozens of it at 15% profit and the remaining 30 dozens at 25% profit. What is his percentage profit in the whole transaction?a)18.8%b)20%c)22.5%d)25%e)28.5%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sriram purchased 40 dozen notebooks at Rs. 50 per dozen. He sold 10 dozens of it at 15% profit and the remaining 30 dozens at 25% profit. What is his percentage profit in the whole transaction?a)18.8%b)20%c)22.5%d)25%e)28.5%Correct answer is option 'C'. Can you explain this answer?.
Sriram purchased 40 dozen notebooks at Rs. 50 per dozen. He sold 10 dozens of it at 15% profit and the remaining 30 dozens at 25% profit. What is his percentage profit in the whole transaction?a)18.8%b)20%c)22.5%d)25%e)28.5%Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Sriram purchased 40 dozen notebooks at Rs. 50 per dozen. He sold 10 dozens of it at 15% profit and the remaining 30 dozens at 25% profit. What is his percentage profit in the whole transaction?a)18.8%b)20%c)22.5%d)25%e)28.5%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sriram purchased 40 dozen notebooks at Rs. 50 per dozen. He sold 10 dozens of it at 15% profit and the remaining 30 dozens at 25% profit. What is his percentage profit in the whole transaction?a)18.8%b)20%c)22.5%d)25%e)28.5%Correct answer is option 'C'. Can you explain this answer?.
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