$\frac{100}{121}\%$ loss
Calculating Apple Profit Loss Percentage
To determine the percentage profit or loss, we need to compare the total cost price (CP) and the total selling price (SP).
Cost Price Calculation
Assume the man bought the least common multiple (LCM) of the quantities (5 and 6), which is 30 apples from each batch.
- Cost of 30 apples (at 5 for ₹50):
CP = (₹50 / 5) * 30 = ₹10 * 30 = ₹300 - Cost of 30 apples (at 6 for ₹50):
CP = (₹50 / 6) * 30 = ₹50 * 5 = ₹250 - Total apples bought = 30 + 30 = 60 apples.
- Total Cost Price (CP) for 60 apples = ₹300 + ₹250 = ₹550.
Selling Price Calculation
The apples are sold at 11 for ₹100.
- Selling Price (SP) of 1 apple = ₹100 / 11
- Total Selling Price (SP) for 60 apples:
SP = (₹100 / 11) * 60 = ₹6000 / 11
Profit or Loss Determination
Compare Total CP and Total SP.
- Total CP = ₹550
- Total SP = ₹6000 / 11 ≈ ₹545.45
- Since SP < CP, there is a loss.
Loss Calculation
Calculate the amount of loss.
- Loss = CP - SP
- Loss = ₹550 - ₹6000 / 11
- Loss = (₹550 * 11 - ₹6000) / 11
- Loss = (₹6050 - ₹6000) / 11 = ₹50 / 11
Percentage Loss Calculation
Calculate the percentage loss using the formula: % Loss = (Loss / CP) * 100
- Percentage Loss = ( (₹50 / 11) / ₹550 ) * 100
- Percentage Loss = (50 / (11 * 550)) * 100
- Percentage Loss = (50 / 6050) * 100
- Percentage Loss = (1 / 121) * 100
- Percentage Loss = $\frac{100}{121}\%$
Therefore, the man incurs a loss of $\frac{100}{121}\%$.
Similar Questions
- I bought two frocks for ₹1,200. I sold the first one at a loss of 7% and the second at a gain of 23%. If, on the whole I made neither a loss nor a gain, find the cost price (in ₹) of the first frock.
- The selling price of 40 books is equal to the cost price of 28 books. Find the loss or gain percentage.
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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?
