Calculating Basmati Rice Selling Price Per Kg
First, calculate the total cost price (CP) for both bags of basmati rice.
- Cost of the first bag: $ 40 \text{ kg} \times 125 \text{ Rs/kg} = 5000 \text{ Rs} $
- Cost of the second bag: $ 60 \text{ kg} \times 150 \text{ Rs/kg} = 9000 \text{ Rs} $
- Total Cost Price (CP): $ 5000 \text{ Rs} + 9000 \text{ Rs} = 14000 \text{ Rs} $
Next, determine the total quantity of rice.
- Total Quantity: $ 40 \text{ kg} + 60 \text{ kg} = 100 \text{ kg} $
Calculate the total selling price (SP) after applying the 20% profit.
- Profit Amount: $ 20\% \text{ of } 14000 \text{ Rs} = 0.20 \times 14000 \text{ Rs} = 2800 \text{ Rs} $
- Total Selling Price (SP): $ \text{Total CP} + \text{Profit Amount} = 14000 \text{ Rs} + 2800 \text{ Rs} = 16800 \text{ Rs} $ Alternatively, using the profit percentage directly: $ SP = CP \times (1 + \text{Profit Percentage}) = 14000 \times (1 + 0.20) = 14000 \times 1.20 = 16800 \text{ Rs} $
Finally, find the selling price per kg.
- Selling Price per Kg: $ \frac{\text{Total SP}}{\text{Total Quantity}} = \frac{16800 \text{ Rs}}{100 \text{ kg}} = 168 \text{ Rs/kg} $
The selling price per kg is Rs. 168.
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