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By selling 35 eggs for 30 rupees, a person incurs a loss of 25%. How many eggs should he sell for 144 rupees to make a profit of 20%?

A85
B95
C105 ✓ Correct
D115
Correct answer: (C) 105
Explanation

He should sell 105 eggs.

SP of 35 eggs = 30 at 25% loss, so CP = 30/0.75 = 40.

CP per egg = 40/35 = 8/7.

For 20% profit, SP per egg = 1.2 x 8/7 = 9.6/7.

Number for Rs 144 = 144 / (9.6/7) = 105.

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