A trader had 630 kgs of rice. He sold a part of it at 15% profit and the rest at 8% profit, so that he made a total profit of 12%. How much rice (in kgs) did he sell at 8% profit?a)270b)300c)280d)290Correct answer is option 'A'. Can you explain this answer?

Question

Answer

Solution:
Let x be the amount of rice sold at 15% profit.
Then, the amount of rice sold at 8% profit will be (630-x).
Given, the total profit made is 12%.
Therefore, the profit made on x kgs of rice sold at 15% profit = (15/100) x
And, the profit made on (630-x) kgs of rice sold at 8% profit = (8/100) (630-x)
Total profit made = (15/100) x + (8/100) (630-x) = 12/100 * 630
Simplifying the above equation, we get
(15x/100) + (5040-8x)/100 = 75.6
On solving the above equation, we get x = 180
Therefore, the amount of rice sold at 8% profit = 630-180 = 450 kg
Hence, the correct answer is option A (270 kg).

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