A reduction of 20% in the price of sugar enables a person to buy 5 kg more for Rs. 200. What is the original price per kg?
Show answer & explanation
Correct answer: B
Explanation
Reduction in price = 20%
Difference = 5 kg
Total amount = ₹200
Let the original price be = ₹x/kg
New price = 0.8x
200/(0.8x) − 200/x = 5
⇒ 200/x (1/0.8 − 1) = 5
⇒ 200/x (5/4 − 1) = 5
⇒ 200/x × (1/4) = 5
⇒ 50/x = 5
⇒ x = ₹10/kg