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Vijay purchased 50 dozen eggs at Rs. 40 per dozen. Of these, 40 eggs were found broken. At what price per dozen should he sell the remaining eggs in o
Question

Vijay purchased 50 dozen eggs at Rs. 40 per dozen. Of these, 40 eggs were found broken. At what price per dozen should he sell the remaining eggs in order to make a profit of 5% ?

A.

Rs. 45

B.

Rs. 42.50

C.

Rs. 48.50

D.

Rs. 50

Correct option is A

Given:
Total eggs = 50 dozen
Cost price per dozen = 40
Broken eggs = 40
Target profit = 5%
Formula Used:
Total CP = Quantity × Rate
SP = CP × (1+P100)(1 + \frac{P}{100})​​
Solution:
Total cost price = 50 × 40 = 2000
Total eggs bought = 50 × 12 = 600
Remaining eggs = 600 - 40 = 560
Remaining eggs in dozens = 56012=1403\frac{560}{12} = \frac{140}{3}​​
Target selling price = 2000 × (1+5100) (1 + \frac{5}{100})​​
Target selling price = 2000 × 105100\frac{105}{100}​ = 2100
Selling price per dozen = 21001403 \frac{2100}{\frac{140}{3}}​​

Selling price per dozen =  2100×3140\frac{2100 × 3}{140}​​
Selling price per dozen = 15 × 3 = 45
Final Answer
So the correct answer is (a)

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