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Two varieties of rice , A and B ,costing...

Two varieties of rice , A and B ,costing Rs. 210 and Rs. 280 per kg respectively are mixed in the ratio of `3:4`. The mixed variety is sold at Rs. 260 per kg .What is the profit percentage ?

A

`6%`

B

`5%`

C

`32%`

D

`4%`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will calculate the cost price of the mixed rice, the selling price, and then determine the profit percentage. ### Step 1: Determine the cost of rice A and B - Cost of rice A = Rs. 210 per kg - Cost of rice B = Rs. 280 per kg ### Step 2: Determine the ratio of mixing - Rice A is mixed in the ratio of 3 parts. - Rice B is mixed in the ratio of 4 parts. ### Step 3: Calculate the total weight of the mixture - Total parts = 3 (for A) + 4 (for B) = 7 parts - Let’s assume we take 3 kg of rice A and 4 kg of rice B. ### Step 4: Calculate the cost of each type of rice - Cost of 3 kg of rice A = 3 kg × Rs. 210/kg = Rs. 630 - Cost of 4 kg of rice B = 4 kg × Rs. 280/kg = Rs. 1120 ### Step 5: Calculate the total cost price (CP) of the mixture - Total CP = Cost of rice A + Cost of rice B - Total CP = Rs. 630 + Rs. 1120 = Rs. 1750 ### Step 6: Determine the selling price (SP) of the mixture - The mixed variety is sold at Rs. 260 per kg. - Total weight of the mixture = 7 kg (3 kg of A + 4 kg of B) - SP = Total weight × Selling price per kg = 7 kg × Rs. 260/kg = Rs. 1820 ### Step 7: Calculate the profit - Profit = SP - CP - Profit = Rs. 1820 - Rs. 1750 = Rs. 70 ### Step 8: Calculate the profit percentage - Profit Percentage = (Profit / CP) × 100 - Profit Percentage = (Rs. 70 / Rs. 1750) × 100 - Profit Percentage = (70 / 1750) × 100 = 4% ### Conclusion The profit percentage is **4%**.
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