A man is selling milk at a certain profit. He
adds 20% of water to it and increases the
selling price by 7.14% and as a result his
profit increases by 100%. What was his usual profit
Answers
usual profit = 40 % if milkman adds 20% of water & increase selling price by 7.14% and profit increase by 100%
Step-by-step explanation:
Let say Cost Price Per Litre = C
Selling Price Per litre = S
Let say L litre milk being sold
then Cost Price = LC
Selling Price = LS
Profit = LS - LC
adds 20% of water to it
=> L + (20/100)L = 1.2L
Increases the selling price by 7.14% = 50/7 %
Selling Price per litre = S + (50/700)S = S + S/14 = 15S/14
Selling Price = 1.2L * 15S/14 = 9LS/7
Profit = 9LS/7 - LC
9LS/7 - LC = 2 ( LS - LC)
=> 9S/7 - C = 2 (S - C)
=> 9S - 7C = 14S - 14C
=> 5S = 7C
=> S = 1.4C
Usual Profit = L(S - C) = L(1.4C - C) = 0.4LC
Usual Profit % = (0.4LC/LC) * 100 = 40%
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