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A shopkeeper buys 60 oranges at 10 for rs 72, and an equal number at 12 for rs 90. he spend rs 118 on the transaction and sells all the oranges that he buys. if there is a profit of 26% in the entire transaction, then what is the selling price of 32 oranges?
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A shopkeeper buys 60 oranges at 10 for rs 72, and an equal number at 1...
Given:
- Shopkeeper buys 60 oranges at 10 for Rs 72.
- Shopkeeper buys an equal number of oranges at 12 for Rs 90.
- The total cost of the transaction is Rs 118.
- There is a profit of 26% in the entire transaction.
To Find:
- The selling price of 32 oranges.
Solution:
Let's first calculate the cost price (CP) of 60 oranges bought at 10 for Rs 72.
Cost price of 60 oranges = 72
Cost price of 1 orange = 72/60 = Rs 1.20
Next, let's calculate the cost price (CP) of the same number of oranges bought at 12 for Rs 90.
Cost price of 1 orange = 90/12 = Rs 7.50
Calculating the Total Cost:
Total cost of the transaction = Cost of 60 oranges + Cost of equal number of oranges
Total cost of the transaction = (60 * Rs 1.20) + (60 * Rs 7.50)
Total cost of the transaction = Rs 72 + Rs 450
Total cost of the transaction = Rs 522
Calculating the Selling Price:
Let's assume x is the number of oranges bought at 10 for Rs 72 and also at 12 for Rs 90.
Cost price of x oranges at Rs 1.20 = x * Rs 1.20
Cost price of x oranges at Rs 7.50 = x * Rs 7.50
Total cost of the transaction = (x * Rs 1.20) + (x * Rs 7.50)
Rs 522 = 1.2x + 7.5x
Rs 522 = 8.7x
x = Rs 522 / 8.7
x = 60
So, the shopkeeper bought 60 oranges at each rate.
Calculating the Selling Price:
Let's calculate the selling price (SP) of 32 oranges.
Selling price of 1 orange = Cost price of 1 orange + Profit
Profit = 26% of the cost price
Profit = 26/100 * Cost price of 1 orange
Selling price of 1 orange = Cost price of 1 orange + 26/100 * Cost price of 1 orange
Selling price of 1 orange = 1.20 + 26/100 * 1.20
Selling price of 1 orange = 1.20 + 0.312
Selling price of 1 orange = Rs 1.512
Selling price of 32 oranges = 32 * Rs 1.512
Selling price of 32 oranges = Rs 48.384
Therefore, the selling price of 32 oranges is Rs 48.384.
- Shopkeeper buys 60 oranges at 10 for Rs 72.
- Shopkeeper buys an equal number of oranges at 12 for Rs 90.
- The total cost of the transaction is Rs 118.
- There is a profit of 26% in the entire transaction.
To Find:
- The selling price of 32 oranges.
Solution:
Let's first calculate the cost price (CP) of 60 oranges bought at 10 for Rs 72.
Cost price of 60 oranges = 72
Cost price of 1 orange = 72/60 = Rs 1.20
Next, let's calculate the cost price (CP) of the same number of oranges bought at 12 for Rs 90.
Cost price of 1 orange = 90/12 = Rs 7.50
Calculating the Total Cost:
Total cost of the transaction = Cost of 60 oranges + Cost of equal number of oranges
Total cost of the transaction = (60 * Rs 1.20) + (60 * Rs 7.50)
Total cost of the transaction = Rs 72 + Rs 450
Total cost of the transaction = Rs 522
Calculating the Selling Price:
Let's assume x is the number of oranges bought at 10 for Rs 72 and also at 12 for Rs 90.
Cost price of x oranges at Rs 1.20 = x * Rs 1.20
Cost price of x oranges at Rs 7.50 = x * Rs 7.50
Total cost of the transaction = (x * Rs 1.20) + (x * Rs 7.50)
Rs 522 = 1.2x + 7.5x
Rs 522 = 8.7x
x = Rs 522 / 8.7
x = 60
So, the shopkeeper bought 60 oranges at each rate.
Calculating the Selling Price:
Let's calculate the selling price (SP) of 32 oranges.
Selling price of 1 orange = Cost price of 1 orange + Profit
Profit = 26% of the cost price
Profit = 26/100 * Cost price of 1 orange
Selling price of 1 orange = Cost price of 1 orange + 26/100 * Cost price of 1 orange
Selling price of 1 orange = 1.20 + 26/100 * 1.20
Selling price of 1 orange = 1.20 + 0.312
Selling price of 1 orange = Rs 1.512
Selling price of 32 oranges = 32 * Rs 1.512
Selling price of 32 oranges = Rs 48.384
Therefore, the selling price of 32 oranges is Rs 48.384.
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A shopkeeper buys 60 oranges at 10 for rs 72, and an equal number at 12 for rs 90. he spend rs 118 on the transaction and sells all the oranges that he buys. if there is a profit of 26% in the entire transaction, then what is the selling price of 32 oranges?
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A shopkeeper buys 60 oranges at 10 for rs 72, and an equal number at 12 for rs 90. he spend rs 118 on the transaction and sells all the oranges that he buys. if there is a profit of 26% in the entire transaction, then what is the selling price of 32 oranges? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A shopkeeper buys 60 oranges at 10 for rs 72, and an equal number at 12 for rs 90. he spend rs 118 on the transaction and sells all the oranges that he buys. if there is a profit of 26% in the entire transaction, then what is the selling price of 32 oranges? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper buys 60 oranges at 10 for rs 72, and an equal number at 12 for rs 90. he spend rs 118 on the transaction and sells all the oranges that he buys. if there is a profit of 26% in the entire transaction, then what is the selling price of 32 oranges?.
A shopkeeper buys 60 oranges at 10 for rs 72, and an equal number at 12 for rs 90. he spend rs 118 on the transaction and sells all the oranges that he buys. if there is a profit of 26% in the entire transaction, then what is the selling price of 32 oranges? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A shopkeeper buys 60 oranges at 10 for rs 72, and an equal number at 12 for rs 90. he spend rs 118 on the transaction and sells all the oranges that he buys. if there is a profit of 26% in the entire transaction, then what is the selling price of 32 oranges? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper buys 60 oranges at 10 for rs 72, and an equal number at 12 for rs 90. he spend rs 118 on the transaction and sells all the oranges that he buys. if there is a profit of 26% in the entire transaction, then what is the selling price of 32 oranges?.
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