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As a result of 25% hike in the price of rice per kg, a person is able to purchase 6 kg less rice for Rs. 1,200. What Was the Original price of rice per kg?
Rs. 30
Rs. 40
Rs. 50
Rs. 60
Sol. Ans.(b).
Start directly from the options.
Option (a) – Rs.30. Hike it by 25% and it becomes Rs.37.5 per kg. Originally one could buy (1200 / 30) = 40 kg rice and now one can buy (1200 / 37.5) = 32 kg. Difference is 8 kg and not 6 kgs.
Option (b) – Rs.40. Hike it by 25% and it becomes Rs.50 per kg. Originally one could buy (1200 / 40) = 30 kg rice and now one can buy (1200 / 50) = 24 kg. . Difference is 6 kg and (b) is our answer.
Other method: Let the original price be P. So, 1.25 P is the new price.
Earlier quantity purchased = 1200 / P kg.
New quantity purchased = 1200 / 1.25P kg
Difference = 6 kg = 1200/P – 1200/1.25P.
Solve for P.
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