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Q: A certain number of eggs are bought at 4 for Rs. 5 and an equal number are bought at 9 for Rs. 10. If 15% of the eggs were broken in transportation and the remaining were sold at 2 for Rs. 3, find the profit percentage for the trader.
A. 9% B. 8% 
C. 8.5% D. 8.25%

Answer and Explanation

Answer:8% 

Explanation:
Let x eggs be bought at 4 for Rs 5
CP of x eggs = 5x / 4
Let another x eggs be bought at 9 for Rs. 10
CP of x eggs = 10x/9
Total CP of 2x eggs = 5x/4 + 10x / 9 = 85 / 36x = 2.3611x
Number of broken eggs = 0.15(2x) = 0.3x
Balance eggs = 2x – 0.3x = 1.70x
SP of 2 eggs = Rs. 3
SP of 1.7x eggs = (3 × 1.7x)/2×2.55x
Profit = (2.55 – 2.3611)x = 0.189x
Profit Percentage = 0.189x / 2.311x × 100 = 8% 

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