Question : A man bought four dozen eggs at Rs. 24 per dozen and two dozen at Rs. 32 per dozen. To gain 20% on the whole, he should sell the eggs at:
Option 1: Rs. 16 per dozen
Option 2: Rs. 21 per dozen
Option 3: Rs. 32 per dozen
Option 4: Rs. 35 per dozen
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Correct Answer: Rs. 32 per dozen
Solution :
The cost price of 4 dozen eggs at Rs. 24 per dozen = 4 × 24 = Rs. 96
and the cost price of 2 dozen eggs at Rs. 32 per dozen = 2 × 32 = Rs. 64
Total money spent = 96 + 64 = Rs. 160 for 6 dozen
To earn 20% profit, the selling price of 6 dozen eggs = $\frac{120}{100}$ × 160 = Rs. 192
$\therefore$ selling price of eggs per dozen = $\frac{192}{6}$ = Rs. 32
Hence, the correct answer is Rs. 32 per dozen.
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