Due to rise of 20% in price of orange a dealer get 4 kg less for Rs.48

1.	Due to rise of 20% in price of orange a dealer get 4 kg less for Rs.480 find original price per kg of orange.1. 10 Rs./kg2. 40 Rs./kg3. 25 Rs./kg4. 20 Rs./kg5. None of these
Answer» Correct Answer - Option 4 : 20 Rs./kg Given: Due to rise of 20% in price of orange a dealer get 4 kg less for Rs.480 Calculation: Let, Price of per kg orange = Rs.10x Let, Total purchase capacity initially = 10y kg As question says, (10x) × (10y) = 480 ⇒ 10xy = 48 ----(I) New price after reduction = {(100 + 20)/100} × 10x = Rs.12x Final purchase capacity after reduction = (10y – 4) kg As question says, (12x) × (10y – 4) = 480 ⇒ 10xy – 4x = 40 ----(II) From equation (I) and (II) 48 – 4x = 40 ⇒ x = 2 Original price per kg of orange = 10 × 2 = 20 Rs./kg ∴ 20 Rs./kg is original price of orange.

Due to rise of 20% in price of orange a dealer get 4 kg less for Rs.480 find original price per kg of orange.1. 10 Rs./kg2. 40 Rs./kg3. 25 Rs./kg4. 20 Rs./kg5. None of these

Answer» Correct Answer - Option 4 : 20 Rs./kg

Given:

Due to rise of 20% in price of orange a dealer get 4 kg less for Rs.480

Calculation:

Let, Price of per kg orange = Rs.10x

Let, Total purchase capacity initially = 10y kg

As question says,

(10x) × (10y) = 480

⇒ 10xy = 48 ----(I)

New price after reduction = {(100 + 20)/100} × 10x = Rs.12x

Final purchase capacity after reduction = (10y – 4) kg

As question says,

(12x) × (10y – 4) = 480

⇒ 10xy – 4x = 40 ----(II)

From equation (I) and (II)

48 – 4x = 40

⇒ x = 2

Original price per kg of orange = 10 × 2 = 20 Rs./kg

∴ 20 Rs./kg is original price of orange.

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