A vendor buys bananas at 4 for Rs. 3 and sells at 3 for Rs. 4. What wi...
Vendor buys bananas at 4 for Rs 3 ⇒ cost price of 1 banana = Rs. 3/4
Vendor sells bananas at 3 for Rs 4 ⇒ selling price of 1 banana = Rs. 4/3
We see that selling price is more than the cost price which implies there is a profit.
Profit % = [(4/3 - 3/4)/3/4] × 100 = 77.7%
∴ There is profit of 77.7%
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A vendor buys bananas at 4 for Rs. 3 and sells at 3 for Rs. 4. What wi...
Given Information:
- The vendor buys bananas at a rate of 4 bananas for Rs. 3.
- The vendor sells bananas at a rate of 3 bananas for Rs. 4.
Calculation:
Let's assume that the vendor buys 'x' bananas.
Cost Price:
- The cost of 4 bananas is Rs. 3.
- So, the cost of 1 banana is Rs. 3/4.
- Therefore, the cost price of 'x' bananas is (3/4)x.
Selling Price:
- The selling price of 3 bananas is Rs. 4.
- So, the selling price of 1 banana is Rs. 4/3.
- Therefore, the selling price of 'x' bananas is (4/3)x.
Profit/Loss:
To find the profit or loss percentage, we need to compare the selling price with the cost price.
If the selling price is greater than the cost price, then there is a profit.
If the selling price is less than the cost price, then there is a loss.
Profit Percentage:
Profit = Selling Price - Cost Price
Profit Percentage = (Profit / Cost Price) * 100
We can calculate the profit percentage as follows:
Profit = (4/3)x - (3/4)x
Profit = (16x - 9x) / 12x
Profit = 7x / 12x
Profit Percentage = (7/12) * 100
Profit Percentage = 58.33%
Loss Percentage:
Loss = Cost Price - Selling Price
Loss Percentage = (Loss / Cost Price) * 100
We can calculate the loss percentage as follows:
Loss = (3/4)x - (4/3)x
Loss = (9x - 16x) / 12x
Loss = -7x / 12x
Loss Percentage = (-7/12) * 100
Loss Percentage = -58.33%
Conclusion:
Since the profit/loss percentage is positive, it indicates a profit. Therefore, the correct answer is option 'C' - 77.7% profit.