Calculating Selling Price for 30% Profit
The initial cost price (CP) of 20 dozen mangoes is ₹1,000.
- Total mangoes purchased: \( 20 \text{ dozen} \times 12 \text{ mangoes/dozen} = 240 \text{ mangoes} \)
- Mangoes rotten: 40 mangoes
- Saleable mangoes: \( 240 - 40 = 200 \text{ mangoes} \)
Determining Target Selling Price
The desired profit is 30% on the cost price.
- Profit amount: \( 30\% \text{ of } ₹1,000 = \frac{30}{100} \times 1,000 = ₹300 \)
- Total Selling Price (SP) required: Cost Price + Profit = \( ₹1,000 + ₹300 = ₹1,300 \)
Calculating Rate Per Dozen
The total selling price of ₹1,300 must be achieved by selling the remaining 200 mangoes.
- Selling price per mango: \( \frac{₹1,300}{200 \text{ mangoes}} = ₹6.50/\text{mango} \)
- Selling price per dozen: \( ₹6.50/\text{mango} \times 12 \text{ mangoes/dozen} = ₹78/\text{dozen} \)
Therefore, the man should sell the remaining mangoes at ₹78 per dozen.
Similar Questions
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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?
