Due to rise of 20% in the price of apples a dealer get 20 kg less for

1.	Due to rise of 20% in the price of apples a dealer get 20 kg less for Rs.18,000, find new price per kg of apple.1. 220 Rs./kg2. 150 Rs./kg3. 180 Rs./kg4. 240 Rs./kg5. None of these
Answer» Correct Answer - Option 3 : 180 Rs./kg Given: Due to rise of 20% in the price of apples a dealer get 20 kg less for Rs.18,000 Calculation: Let, Price of per kg apple = Rs.100x Let, Total purchase capacity initially = 100y kg As question says, (100x) × (100y) = 18000 ⇒ 100xy = 180 ----(I) New price after reduction = {(100 + 20)/100} × 100x = Rs.120x Final purchase capacity after reduction = (100y – 20) kg As question says, (120x) × (100y – 20) = 18000 ⇒ 100xy – 20x = 150 ----(II) From equation (I) and (II) 180 – 20x = 150 ⇒ x = 1.5 New price of per kg apple = 120 × 1.5 = 180 Rs./kg ∴ 180 Rs./kg is reduction price of apple.

Due to rise of 20% in the price of apples a dealer get 20 kg less for Rs.18,000, find new price per kg of apple.1. 220 Rs./kg2. 150 Rs./kg3. 180 Rs./kg4. 240 Rs./kg5. None of these

Answer» Correct Answer - Option 3 : 180 Rs./kg

Given:

Due to rise of 20% in the price of apples a dealer get 20 kg less for Rs.18,000

Calculation:

Let, Price of per kg apple = Rs.100x

Let, Total purchase capacity initially = 100y kg

As question says,

(100x) × (100y) = 18000

⇒ 100xy = 180 ----(I)

New price after reduction = {(100 + 20)/100} × 100x = Rs.120x

Final purchase capacity after reduction = (100y – 20) kg

As question says,

(120x) × (100y – 20) = 18000

⇒ 100xy – 20x = 150 ----(II)

From equation (I) and (II)

180 – 20x = 150

⇒ x = 1.5

New price of per kg apple = 120 × 1.5 = 180 Rs./kg

∴ 180 Rs./kg is reduction price of apple.

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