Bakery Cost and Revenue Analysis
First, determine the total cost and the number of cakes produced.
- Total Cost = ₹250,000
- Total Cakes Produced = 5000
Calculating Cakes Sold and Revenue
Identify the number of cakes sold and calculate the total revenue generated.
- Cakes Given Away (Promotional) = 500
- Remaining Cakes for Sale = 5000 - 500 = 4500 cakes
- Market Price per Cake = ₹75
- Discount Offered = 20%
- Selling Price per Cake = ₹75 \times (1 - 0.20) = ₹75 \times 0.80 = ₹60
- Offer: 1 free cake for every 9 cakes bought. This means for every 10 cakes distributed under this offer, 9 are paid for.
- Total cakes distributed = 5000.
- Number of cakes distributed under the 'buy 9 get 1 free' offer = Total Cakes - Promotional Cakes = 5000 - 500 = 4500 cakes.
- Number of cakes actually paid for = $4500 \times \frac{9}{10} = 4050$ cakes.
- Number of free cakes given under the offer = $4500 \times \frac{1}{10} = 450$ cakes.
- Total Revenue = (Number of cakes paid for) $\times$ (Selling Price per cake)
- Total Revenue = $4050 \times ₹60 = ₹243,000$
Determining Overall Gain or Loss
Compare the total cost with the total revenue to find the gain or loss.
- Total Cost = ₹250,000
- Total Revenue = ₹243,000
- Since Total Revenue < Total Cost, there is a loss.
- Loss Amount = Total Cost - Total Revenue = ₹250,000 - ₹243,000 = ₹7,000
Calculating Loss Percentage
Calculate the percentage loss based on the total cost.
- Loss Percentage = $\frac{\text{Loss Amount}}{\text{Total Cost}} \times 100$
- Loss Percentage = $\frac{₹7,000}{₹250,000} \times 100$
- Loss Percentage = $\frac{7}{250} \times 100 = \frac{700}{250} = \frac{14}{5} = 2.8\%$
The overall result is a 2.8 % loss.
Similar Questions
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Important Questions from Profit and Loss
Ram bought a chair at 35% discount on its market price, Had Ram got no discount, he would have had to pay ₹245 more. How much did Ram pay for the chair?
A shopkeeper bought an item for Rs. 4,500 and sold it at a loss of 5%. From this money, he bought another item and sold it at a profit of 10%. What is his overall profit?
A man sells two articles at Rs. 9,180 each. He gains 8% on one article and loses 15% on the other. His overall profit or loss is:
A shopkeeper selling an article for ₹46 loses 8%. In order to gain 6%, what should be the selling price of the article?
Rahul purchased 80 items from the market. 25% items of the total items were defective and the remaining items were sold at 50% profit. What will be the overall profit percentage?
