A reduction of 20% in the price of sugar enables a purchase to obtain 4 kg more for Rs. 160. The original price of sugar per kg is?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Rs. 10.
Let the original price of sugar per kg be Rs. y
Then the reduced price per kg = y × (80/100) = 4y/5
The quantity of sugar that can be bought for Rs.160 originally = Rs. 160/y
The quantity of sugar that can be bought for Rs.160 with reduced price = 160/(4y/5) = 800/4y
According to question,
⇒ 800/4y = (160/y) + 4
⇒ (800/4y) – (160/y) = 4
⇒ (800 – 640)/4y = 4
⇒ 160 = 16y
⇒ y = 10