Question
After the increase in the price of tea by 20%, Teena is
able to buy 3.5 kg less for Rs. 420. Find the original and increased price of the tea per kg.  ÂSolution
Let the original price (O.P.) be Rs. x  per kg.  New price (N.P.) = 120% of x  = Rs.  6x/5 per kg. Quantity of tea the Teena could buy at original price = 420/x kg. Quantity of tea she can buy at new price = (420 × 5)/6x = 350/x kg Given that difference between the quantity at original price and at new price is 3.5 kg. 420/x - 350/x = 3.5 ⇒  x  = 20 Original Price = Rs.20 and New Price = Rs. 24 Alternate Method: New price = 420
20%/3.5 =84/3.5Â =Â 84/(7/2) = 12
2 = Rs. 24/Kg let old price = x old price: new price = 100 : 120 = 5 : 6 = x :24 so x =20 Rs/Kg
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