Due to a reduction of 20% in the price of potato, Amit can purchase 6 kg more for Rs. 350. Find the reduced and the previous price of 1 kg Potato.
1. Rs. 12.50 and Rs. 18.50
2. Rs. 11.67 and Rs. 14.58
3. Rs. 12.67 and Rs. 20.00
4. Rs. 15.00 and Rs. 20.00
5. Rs. 14.50 and Rs. 19.00
1. Rs. 12.50 and Rs. 18.50
2. Rs. 11.67 and Rs. 14.58
3. Rs. 12.67 and Rs. 20.00
4. Rs. 15.00 and Rs. 20.00
5. Rs. 14.50 and Rs. 19.00
Correct Answer – Option 2 : Rs. 11.67 and Rs. 14.58
Given:
Due to a reduction of 20% in the price of potato, Amit can purchase 6 kg more for Rs. 350.
Formula used:
Percentage = (value/total value) × 100
Calculation:
Due to 20% reduction in price Amit can Purchase 6 kg more
⇒ 20% = 6 kg
⇒ 100% = (6/20) × 100 = 30 kg
Now the total weight of Potato is 30 kg
Reduced price of 1 kg Potato = Rs. (350 / 30) = Rs. 11.67
Previous price of 1 kg Potato = Rs. (350 / 24) = Rs. 14.58
∴ Reduced and the previous price of 1 kg Potato are Rs. 11.67 and Rs. 14.58 respectively.
Shortcut Trick:
6 kg = 350
⇒ 1 kg = 350 / 6
Reduced price = Rs. {(350 / 6) × (20 / 100)} = Rs. 11.67
Previous price = Rs. {11.67 / (80 / 100)} = Rs. 14.58
∴ Reduced and the previous price of 1 kg Potato are Rs. 11.67 and Rs. 14.58 respectively.