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./kg
2. 150 Rs./kg
3. 180 Rs./kg
4. 240 Rs./kg
5. None of these
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./kg
2. 150 Rs./kg
3. 180 Rs./kg
4. 240 Rs./kg
5. None of these
1. 220 Rs./kg
2. 150 Rs./kg
3. 180 Rs./kg
4. 240 Rs./kg
5. None of these
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.