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A milkman makes a profit of 20% on the sale of milk. If he were to add 10% water to the milk, by what % would his profit increase?
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A milkman makes a profit of 20% on the sale of milk. If he were to add...
Introduction:
The milkman makes a profit of 20% on the sale of milk. If he were to add 10% water to the milk, we need to determine how this would affect his profit and calculate the percentage increase.

Step 1: Calculate the selling price of the milk:
To calculate the selling price of the milk, we need to add the profit percentage to the cost price of the milk. Let's assume the cost price of the milk is $100.

Cost Price (CP) = $100
Profit Percentage (P%) = 20%

Profit (P) = (P%/100) * CP
Profit = (20/100) * $100 = $20

Selling Price (SP) = CP + P
Selling Price = $100 + $20 = $120

Step 2: Calculate the selling price after adding water:
When the milkman adds 10% water to the milk, the volume of the milk increases, but the cost price remains the same. Let's assume the selling price after adding water is SPw.

SPw = SP + (10% of SP)
SPw = $120 + (10/100) * $120
SPw = $120 + $12
SPw = $132

Step 3: Calculate the new profit:
To calculate the new profit, we need to subtract the cost price from the selling price after adding water.

New Profit = SPw - CP
New Profit = $132 - $100
New Profit = $32

Step 4: Calculate the percentage increase in profit:
To calculate the percentage increase in profit, we need to find the difference between the new profit and the original profit, and then calculate the percentage increase.

Difference in Profit = New Profit - Profit
Difference in Profit = $32 - $20
Difference in Profit = $12

Percentage Increase = (Difference in Profit / Profit) * 100
Percentage Increase = ($12 / $20) * 100
Percentage Increase = 60%

Conclusion:
So, by adding 10% water to the milk, the milkman's profit would increase by 60%.
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A milkman makes a profit of 20% on the sale of milk. If he were to add 10% water to the milk, by what % would his profit increase?
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