Calculating Bicycle Percentage Gain
To find the percentage gain, we first determine the total cost price (CP) and then calculate the profit before finding the percentage.
Total Cost Price (CP) Calculation
- Purchase Price = ₹4,000
- Repair Cost = ₹400
- Total CP = Purchase Price + Repair Cost
- Total CP = ₹4,000 + ₹400 = ₹4,400
Profit Calculation
- Selling Price (SP) = ₹5,000
- Profit = SP - Total CP
- Profit = ₹5,000 - ₹4,400 = ₹600
Percentage Gain Calculation
The formula for percentage gain is: $ \text{Percentage Gain} = \left ( \frac{\text{Profit}}{\text{Total CP}} \right ) \times 100 $
- Percentage Gain = $ \left ( \frac{600}{4400} \right ) \times 100 $
- Percentage Gain = $ \left ( \frac{6}{44} \right ) \times 100 $
- Percentage Gain = $ \left ( \frac{3}{22} \right ) \times 100 $
- Percentage Gain = $ \frac{300}{22} $
- Percentage Gain = $ \frac{150}{11} $
Converting the improper fraction to a mixed number:
- $ \frac{150}{11} = 13 \frac{7}{11} $
Therefore, the percentage gain is $13 \frac{7}{11}\%$.
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
