Vendor Oranges Profit Calculation
This problem involves calculating the cost price based on the selling price and profit percentage to determine the quantity purchased.
Problem Analysis
- Selling Price (SP): The vendor sells 10 oranges for ₹1.
- Profit Percentage: The vendor gains 30%.
- Objective: Determine the number of oranges the vendor bought for ₹1.
Oranges Bought Calculation Steps
We need to find the Cost Price (CP) of the oranges first.
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Calculate the Selling Price (SP) of 10 oranges:
Given: SP of 10 oranges = ₹1
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Calculate the Cost Price (CP) of 10 oranges:
We use the formula: $SP = CP * (1 + Profit % / 100)$
Substituting the values:
₹1 = CP of 10 oranges * (1 + 30 / 100)
₹1 = CP of 10 oranges * (1 + 0.30)
₹1 = CP of 10 oranges * 1.30
CP of 10 oranges = ₹1 / 1.30
CP of 10 oranges = ₹(10 / 13)
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Determine the number of oranges bought for ₹1:
If 10 oranges were bought for ₹(10 / 13), we can find how many oranges cost ₹1.
Cost Price per orange = (₹10 / 13) / 10 oranges = ₹(1 / 13) per orange.
Therefore, for ₹1, the number of oranges bought = ₹1 / (Cost Price per orange)
Number of oranges = ₹1 / (₹1 / 13)
Number of oranges = 13
The vendor bought 13 oranges for ₹1.
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Important Questions from Profit and Loss
By selling an article for Rs. 2,200, a profit of 10% is earned. If the same article is sold for Rs. 2,600, then what will be the gain percentage?
By selling an article for Rs. 640, a person loses 15% of its selling price. At what price (in Rs.) should he sell it to gain 15% on its cost price?
The selling prices of articles A and B are the same. A is sold at a profit of 28 percent and B is sold at a loss of 24 percent. If the total selling price of the both articles is Rs. 48640, then what is the cost price of A and B, respectively ?
The cost price of an article is Rs. 2800. Profit as a percentage of selling price is 20 percent. What is the actual profit (in Rs.) ?
A trader bought 640 kg of rice. He sold a part of rice at 20% profit and the rest at 5% loss. He earned a profit of 15% in the entire transaction. What is the quantity (in kg) of rice that he sold at 5% loss?
