A. 20%
B. 10%
C. 5%
D. 4%
Answer: A. 20%
Let:
- C be the cost price per unit of honey.
- The amount of honey used is 100 units.
The total cost price of the honey is C × 100.
Step 1: Selling Price Calculation
We want to sell the mixture at a 20% profit, so the selling price of the mixture should be: 1.20 × C × 100
Step 2: Total Selling Price of Mixture
The total selling price is also given by: (100 + W) × C
Where W is the amount of water.
Step 3: Set the Selling Prices Equal
1.20 × C × 100 = (100 + W) × C
Step 4: Simplify the Equation
1.20 × 100 = 100 + W
120 = 100 + W
Step 5: Solve for W
W = 120 - 100 = 20
So, the amount of water to mix is 20 units.
Step 6: Calculate the Percentage of Water
The percentage of water is: (20 / 100) × 100 = 20%
Conclusion:
The percentage of water to mix is 20%.