CSAT 2024 Solutions - What percent of water must be mixed with honey so as to gain 20% by selling the mixture at the cost price of honey?

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A. 20%
B. 10%
C. 5%
D. 4%

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Answer: A. 20%

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Let:

- C be the cost price per unit of honey.

- The amount of honey used is 100 units.

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The total cost price of the honey is C × 100.

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Step 1: Selling Price Calculation

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We want to sell the mixture at a 20% profit, so the selling price of the mixture should be: 1.20 × C × 100

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Step 2: Total Selling Price of Mixture

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The total selling price is also given by: (100 + W) × C

Where W is the amount of water.

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Step 3: Set the Selling Prices Equal

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1.20 × C × 100 = (100 + W) × C

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Step 4: Simplify the Equation

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1.20 × 100 = 100 + W

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120 = 100 + W

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Step 5: Solve for W

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W = 120 - 100 = 20

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So, the amount of water to mix is 20 units.

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Step 6: Calculate the Percentage of Water

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The percentage of water is: (20 / 100) × 100 = 20%

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Conclusion:

The percentage of water to mix is 20%.

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