Correct Answer - Option 5 : None of these
Given:
Due to an increase of 40% in the price of eggs, 24 eggs less are available for Rs.560
Calculation:
Let, Price of per dozen eggs = Rs.10x
Let, Total purchase capacity initially = 10y dozen eggs
24 eggs = 2 dozen eggs
As question says,
(10x) × (10y) = 560
⇒ 10xy = 56 ----(I)
New price after reduction = {(100 + 40)/100} × 10x = Rs.14x
Final purchase capacity after reduction = (10y – 2) kg
As question says,
(14x) × (10y – 2) = 560
⇒ 10xy – 2x = 40 ----(II)
From equation (I) and (II)
56 – 2x = 40
⇒ x = 8
Present price per dozen of eggs = 14 × 8 = 112 Rs./dozen
∴ 112 Rs./dozen is original price of eggs.
