Question
After increase in the price of coffee by 20 %, a person
is able to buy 4 kg less for Rs. 1,440. Find the original and increased price of the coffee per kg.Solution
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 coffee the person could buy at original price = 1440/x kg. Quantity of coffee he can buy at new price = (1440 × 5)/6x = 1200/x kg Given that difference between the quantity at original price and at new price is 3 kg. ∴ 1440/x - 1200/x = 4 ⇒ 240/x = 4 ⇒ = 60 ∴ O.P. = Rs.60 and N.P. = Rs. 6x/5 = (6 × 60)/5 = Rs.72
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