After increase in the price of coffee by 25%, a person

Solution

Let the original price (O.P.) be Rs. x per kg. ∴ New price (N.P.) = 125% of x = Rs. 5x/4 per kg.  Quantity of coffee the person could buy at original price =  1640/x kg. Quantity of coffee he can buy at new price =  (1640 × 4)/5x = 1312/x  kg Given that difference between the quantity at original price and at new price is 4 kg. ∴ 1640/x - 1312/x = 4 ⇒  328/x = 4 ⇒   = 82 ∴ O.P. = Rs.82 and N.P. = Rs. 5x/4 = (5 × 82)/4 = Rs.102.5