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Profit and Loss
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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?

Answer & Solution
Correct Answer: Option B
$$\eqalign{ & {\text{CP of one egg in }}{{\text{1}}^{st}}{\text{ case}} \cr & = \frac{1}{3} = 33.33\,{\text{paise}} \cr & {\text{CP of one egg in}}\,{2^{nd}}{\text{ case}} \cr & = \frac{1}{6} = 16.66\,{\text{paise}} \cr & {\text{Average}}\,{\text{CP}} \cr & = \frac{{ {33.33 + 16.66} }}{2} \cr & = 25\,{\text{paise}} \cr & {\text{Selling}}\,{\text{price}}\,{\text{of}}\,{\text{9}}\,{\text{eggs}} \cr & = Rs.\,2 \cr & {\text{SP}}\,{\text{of}}\,{\text{one}}\,{\text{egg}} \cr & = \frac{{200}}{9} \cr & {\text{Profit}}\,{\text{or}}\,{\text{loss}} \cr & = \frac{{ {\left( {25 - {\frac{{200}}{9}} } \right) \times 100} }}{{25}} \cr & {\text{Profit}}\,{\text{or}}\,{\text{loss}} \cr & = 11.11\,({\text{loss}}) \cr} $$
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4 Comments
Md Taher
Md Taher 7 years ago
===
3 eggs CP = 1
=> 1 egg CP= 1/3
In the next hour he purchase 6 egges per rupee.
1 egg CP= 1/6
So, 2 egg CP = (1/3+1/6)= 3/6= 1/2
=> 1 egg CP = 1/4
Again,
9 eggs SP = 2
=> 1 eggs SP = 2/9
Loss= (1/4-2/9)= (9-8)/36
%Loss = (1/36)×4×100= 100/9= 11.11%[Answer]
===
PRASHANT KUMAR
PRASHANT KUMAR 7 years ago
1 RUPEE =100 PAISE
2 RUPEE = 200 PAISE
SO, 200/9
Laxman Laxman
Laxman Laxman 8 years ago
CP of one egg is 200/9.. how??? Can you please explain??
Priya P
Priya P 8 years ago
Why u have subtracted 25 and divided by 25