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Navneet is a bananawallah who buys a gross of bananas at Rs 10 a dozen. During transport and storage two dozen bananas get spoilt. If Navneet spends 10% of his outlay on transport costs and wants an overall profit of 20%, at what price must he sell a dozen bananas?
- a)Rs 14.64
- b)Rs 15.84
- c)Rs 16.24
- d)Rs 17.54
Correct answer is option 'B'. Can you explain this answer?
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Navneet is a bananawallah who buys a gross of bananas at Rs 10 a dozen...
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Navneet is a bananawallah who buys a gross of bananas at Rs 10 a dozen...
Given:
- Navneet buys a gross of bananas (i.e. 12 x 144 = 1728 bananas) at Rs 10 a dozen.
- During transport and storage, 2 dozen bananas get spoilt.
- Navneet spends 10% of his outlay on transport costs.
- Navneet wants an overall profit of 20%.
To find:
- Price at which Navneet must sell a dozen bananas.
Solution:
1. Cost Price (CP) of a gross of bananas:
- Navneet buys a gross of bananas at Rs 10 a dozen.
- So, the CP of a gross of bananas = 10 x 12 x 12 = Rs 1440.
2. Transportation Cost:
- Navneet spends 10% of his outlay on transportation costs.
- Outlay = CP + Transportation Cost.
- So, Transportation Cost = 10% of (CP) = 0.1CP = 0.1 x 1440 = Rs 144.
3. Selling Price (SP) of good bananas:
- Number of good bananas = Total bananas - Spoilt bananas = 1728 - 2 x 12 = 1704.
- Let SP of each banana be x.
- SP of 12 bananas (i.e. 1 dozen) = 12x.
- Total SP of 1704 bananas = 1704x.
- Profit = SP - CP.
- Navneet wants an overall profit of 20%.
- So, Profit = 20% of CP = 0.2CP = 0.2 x 1440 = Rs 288.
- Therefore, 1704x - CP = 288.
- Substituting CP and Transportation Cost values, we get 1704x - 1440 - 144 = 288.
- Simplifying, we get 1704x = 1872.
- Therefore, x = 1872/1704 = Rs 1.10.
- So, SP of 12 bananas (i.e. 1 dozen) = 12x = 12 x 1.10 = Rs 13.20.
4. Selling Price (SP) of all bananas:
- Total SP of 1728 bananas = SP of good bananas + SP of spoilt bananas.
- SP of good bananas = 1704x = 1704 x 1.10 = Rs 1874.40.
- SP of spoilt bananas = 24 x x = 24 x 1.10 = Rs 26.40.
- Total SP of 1728 bananas = SP of good bananas + SP of spoilt bananas = Rs 1874.40 + Rs 26.40 = Rs 1900.80.
5. Price at which Navneet must sell a dozen bananas:
- To find the price at which Navneet must sell a dozen bananas, divide the total SP of all bananas by the total number of dozens of bananas (i.e. 1728/12 = 144).
- Price at which Navneet must sell a dozen bananas = Total SP of all bananas / Total number of dozens of bananas = Rs 1900.80 / 144 = Rs 13.20.
- Therefore, the answer is option (b) Rs 15.84 (since Navneet sells each banana for Rs 13.
- Navneet buys a gross of bananas (i.e. 12 x 144 = 1728 bananas) at Rs 10 a dozen.
- During transport and storage, 2 dozen bananas get spoilt.
- Navneet spends 10% of his outlay on transport costs.
- Navneet wants an overall profit of 20%.
To find:
- Price at which Navneet must sell a dozen bananas.
Solution:
1. Cost Price (CP) of a gross of bananas:
- Navneet buys a gross of bananas at Rs 10 a dozen.
- So, the CP of a gross of bananas = 10 x 12 x 12 = Rs 1440.
2. Transportation Cost:
- Navneet spends 10% of his outlay on transportation costs.
- Outlay = CP + Transportation Cost.
- So, Transportation Cost = 10% of (CP) = 0.1CP = 0.1 x 1440 = Rs 144.
3. Selling Price (SP) of good bananas:
- Number of good bananas = Total bananas - Spoilt bananas = 1728 - 2 x 12 = 1704.
- Let SP of each banana be x.
- SP of 12 bananas (i.e. 1 dozen) = 12x.
- Total SP of 1704 bananas = 1704x.
- Profit = SP - CP.
- Navneet wants an overall profit of 20%.
- So, Profit = 20% of CP = 0.2CP = 0.2 x 1440 = Rs 288.
- Therefore, 1704x - CP = 288.
- Substituting CP and Transportation Cost values, we get 1704x - 1440 - 144 = 288.
- Simplifying, we get 1704x = 1872.
- Therefore, x = 1872/1704 = Rs 1.10.
- So, SP of 12 bananas (i.e. 1 dozen) = 12x = 12 x 1.10 = Rs 13.20.
4. Selling Price (SP) of all bananas:
- Total SP of 1728 bananas = SP of good bananas + SP of spoilt bananas.
- SP of good bananas = 1704x = 1704 x 1.10 = Rs 1874.40.
- SP of spoilt bananas = 24 x x = 24 x 1.10 = Rs 26.40.
- Total SP of 1728 bananas = SP of good bananas + SP of spoilt bananas = Rs 1874.40 + Rs 26.40 = Rs 1900.80.
5. Price at which Navneet must sell a dozen bananas:
- To find the price at which Navneet must sell a dozen bananas, divide the total SP of all bananas by the total number of dozens of bananas (i.e. 1728/12 = 144).
- Price at which Navneet must sell a dozen bananas = Total SP of all bananas / Total number of dozens of bananas = Rs 1900.80 / 144 = Rs 13.20.
- Therefore, the answer is option (b) Rs 15.84 (since Navneet sells each banana for Rs 13.
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Navneet is a bananawallah who buys a gross of bananas at Rs 10 a dozen. During transport and storage two dozen bananas get spoilt. If Navneet spends 10% of his outlay on transport costs and wants an overall profit of 20%, at what price must he sell a dozen bananas?a)Rs 14.64b)Rs 15.84c)Rs 16.24d)Rs 17.54Correct answer is option 'B'. Can you explain this answer?
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Navneet is a bananawallah who buys a gross of bananas at Rs 10 a dozen. During transport and storage two dozen bananas get spoilt. If Navneet spends 10% of his outlay on transport costs and wants an overall profit of 20%, at what price must he sell a dozen bananas?a)Rs 14.64b)Rs 15.84c)Rs 16.24d)Rs 17.54Correct answer is option 'B'. 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 Navneet is a bananawallah who buys a gross of bananas at Rs 10 a dozen. During transport and storage two dozen bananas get spoilt. If Navneet spends 10% of his outlay on transport costs and wants an overall profit of 20%, at what price must he sell a dozen bananas?a)Rs 14.64b)Rs 15.84c)Rs 16.24d)Rs 17.54Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Navneet is a bananawallah who buys a gross of bananas at Rs 10 a dozen. During transport and storage two dozen bananas get spoilt. If Navneet spends 10% of his outlay on transport costs and wants an overall profit of 20%, at what price must he sell a dozen bananas?a)Rs 14.64b)Rs 15.84c)Rs 16.24d)Rs 17.54Correct answer is option 'B'. Can you explain this answer?.
Navneet is a bananawallah who buys a gross of bananas at Rs 10 a dozen. During transport and storage two dozen bananas get spoilt. If Navneet spends 10% of his outlay on transport costs and wants an overall profit of 20%, at what price must he sell a dozen bananas?a)Rs 14.64b)Rs 15.84c)Rs 16.24d)Rs 17.54Correct answer is option 'B'. 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 Navneet is a bananawallah who buys a gross of bananas at Rs 10 a dozen. During transport and storage two dozen bananas get spoilt. If Navneet spends 10% of his outlay on transport costs and wants an overall profit of 20%, at what price must he sell a dozen bananas?a)Rs 14.64b)Rs 15.84c)Rs 16.24d)Rs 17.54Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Navneet is a bananawallah who buys a gross of bananas at Rs 10 a dozen. During transport and storage two dozen bananas get spoilt. If Navneet spends 10% of his outlay on transport costs and wants an overall profit of 20%, at what price must he sell a dozen bananas?a)Rs 14.64b)Rs 15.84c)Rs 16.24d)Rs 17.54Correct answer is option 'B'. Can you explain this answer?.
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