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1. An egg seller sells his eggs only in the packs of 3 eggs, 6 eggs, 9 eggs, 12 eggs etc., but the rate is not necessarily uniform. One day Raju (which is not the same egg seller) purchased at the rate of 3 eggs for a rupee and the next hour he purchased equal number of eggs at the rate of 6 eggs for a rupee. Next day he sold all the eggs at the rate of 9 eggs for Rs. 2. What is his percentage profit or loss?

A. 10% loss

B. 11.11% loss

C. 3% loss

D. 2.5% profit

Solution:

\begin{aligned} CP of one egg in 1^{s t} case \\ = \frac{1}{3} = 33.33 paise \\ CP of one egg in 2^{n d} case \\ = \frac{1}{6} = 16.66 paise \\ Average CP \\ = \frac{33.33 + 16.66}{2} \\ = 25 paise \\ Selling price of 9 eggs \\ = R s . 2 \\ SP of one egg \\ = \frac{200}{9} \\ Profit or loss \\ = \frac{(25 - \frac{200}{9}) \times 100}{25} \\ Profit or loss \\ = 11.11 (loss) \end{aligned}

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