If price of rice increased by 25%, so that a man is can able to purchase 5 kg less rice in Rs. 500. Find the original price of rice per kg ?
Solution
Correct Answer: Option A
Let the original price of rice be Rs. x
Let rice a man can buy for Rs. 500 at rs. x/kg be = R kgs
From given data, for Rs. 500
x ---- R kgs
(x + 25x/100) ---- (R - 5) kgs
=> Rx = (R - 5)(x + 25x/100)
=> Rx = (R - 5)(125x/100)
=> 100Rx = 125Rx - 625x
=> R = 25
So at rate of Rs. x/kg, man get 25 kgs for Rs. 500
=> x = 500/25 = Rs. 20
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