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The profit Percentage on 3 bikes are 15%, 35% and 10% and the ratio of CP is 5:3:1. Also the ratio of the Bike sold of P, Q and R is 2:3:5. Then the overall approximate Profit Percentage is?
- a)19%
- b)20%
- c)16%
- d)21%
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The profit Percentage on 3 bikes are 15%, 35% and 10% and the ratio of...
5x * 2y + 3x * 3y + x * 5y = 24xy
Total Profit = (5x*2y*15/100)+(3x*3y*35/100)+(x*5y*10/100)
= 515xy/100
= 5.15xy
Overall Profit Percentage = 5.15xy * 100/24xy = 21.46%
Total Profit = (5x*2y*15/100)+(3x*3y*35/100)+(x*5y*10/100)
= 515xy/100
= 5.15xy
Overall Profit Percentage = 5.15xy * 100/24xy = 21.46%
Most Upvoted Answer
The profit Percentage on 3 bikes are 15%, 35% and 10% and the ratio of...
5x * 2y + 3x * 3y + x * 5y = 24xy
Total Profit = (5x*2y*15/100)+(3x*3y*35/100)+(x*5y*10/100)
= 515xy/100
= 5.15xy
Overall Profit Percentage = 5.15xy * 100/24xy = 21.46%
Total Profit = (5x*2y*15/100)+(3x*3y*35/100)+(x*5y*10/100)
= 515xy/100
= 5.15xy
Overall Profit Percentage = 5.15xy * 100/24xy = 21.46%
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Community Answer
The profit Percentage on 3 bikes are 15%, 35% and 10% and the ratio of...
Given:
- Profit percentages of 3 bikes: 15%, 35%, 10%
- CP ratio of the bikes: 5:3:1
- Bike sold ratio of P, Q, and R: 2:3:5
To find:
- Overall approximate profit percentage
Solution:
Let's assume that the cost price of the bikes is 5x, 3x, and x respectively, according to the given CP ratio of 5:3:1.
The profit earned on each bike can be calculated using the profit percentage formula:
Profit = (Profit percentage/100) x Cost price
Profit on bike P = (15/100) x 5x = 0.75x
Profit on bike Q = (35/100) x 3x = 1.05x
Profit on bike R = (10/100) x x = 0.1x
To calculate the overall profit, we need to find the weighted average of the profit percentages.
Weighted average profit percentage = (Profit on bike P x Bike P sold ratio + Profit on bike Q x Bike Q sold ratio + Profit on bike R x Bike R sold ratio) / Total cost price of all bikes sold
Total cost price of all bikes sold = (5x x 2) + (3x x 3) + (x x 5) = 21x
Substituting the values, we get:
Weighted average profit percentage = ((0.75x x 2) + (1.05x x 3) + (0.1x x 5)) / (21x) x 100
Weighted average profit percentage = (1.5x + 3.15x + 0.5x) / (21x) x 100
Weighted average profit percentage = 21.15%
Therefore, the overall approximate profit percentage is 21%, which is closest to option D.
- Profit percentages of 3 bikes: 15%, 35%, 10%
- CP ratio of the bikes: 5:3:1
- Bike sold ratio of P, Q, and R: 2:3:5
To find:
- Overall approximate profit percentage
Solution:
Let's assume that the cost price of the bikes is 5x, 3x, and x respectively, according to the given CP ratio of 5:3:1.
The profit earned on each bike can be calculated using the profit percentage formula:
Profit = (Profit percentage/100) x Cost price
Profit on bike P = (15/100) x 5x = 0.75x
Profit on bike Q = (35/100) x 3x = 1.05x
Profit on bike R = (10/100) x x = 0.1x
To calculate the overall profit, we need to find the weighted average of the profit percentages.
Weighted average profit percentage = (Profit on bike P x Bike P sold ratio + Profit on bike Q x Bike Q sold ratio + Profit on bike R x Bike R sold ratio) / Total cost price of all bikes sold
Total cost price of all bikes sold = (5x x 2) + (3x x 3) + (x x 5) = 21x
Substituting the values, we get:
Weighted average profit percentage = ((0.75x x 2) + (1.05x x 3) + (0.1x x 5)) / (21x) x 100
Weighted average profit percentage = (1.5x + 3.15x + 0.5x) / (21x) x 100
Weighted average profit percentage = 21.15%
Therefore, the overall approximate profit percentage is 21%, which is closest to option D.
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The profit Percentage on 3 bikes are 15%, 35% and 10% and the ratio of CP is 5:3:1. Also the ratio of the Bike sold of P, Q and R is 2:3:5. Then the overall approximate Profit Percentage is?a)19%b)20%c)16%d)21%e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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