$\frac{100}{121}\%$ 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
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Important Questions from Profit and Loss
Rohit buys 8 pens and 4 pencils for Rs. 2400. He sells pencils at a profit of 20 percent and pens at the loss of 10 percent. If his overall profit is Rs. 240, then what is the sum of the cost price of one pen and one pencil?
An article was sold at a loss of 24%. If it were sold for Rs. 1,596 more, then there would have been a gain of 18%, The cost price of the article is:
The cost price of an article is Rs.6,450. If it sold at a profit 16%, how much would be its selling price?
If the selling price of 7 articles is equal to the cost price of 6 articles, then what is the percentage loss?
An article when sold at a gain of 5%, yields Rs. 15 more than when sold at a loss of 5%. The cost price will be
