Due to an increase of 40% in the price of eggs, 24 eggs less are avail

1.	Due to an increase of 40% in the price of eggs, 24 eggs less are available for Rs.560, Find the present rate of eggs per dozen.1. 122 Rs./dozen2. 115 Rs./dozen3. 120 Rs./dozen4. 110 Rs./dozen5. None of these
Answer» 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.

Due to an increase of 40% in the price of eggs, 24 eggs less are available for Rs.560, Find the present rate of eggs per dozen.1. 122 Rs./dozen2. 115 Rs./dozen3. 120 Rs./dozen4. 110 Rs./dozen5. None of these

Answer» 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.

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