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Q16·CSAT · Prelims 2024

Calculating the percentage of water to mix to achieve a specific profit margin

NumericalMixtures & Alligations / Profit & LossFactual singleEasy

Question

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

Options

a

20%

Answer
b

10%

c

5%

d

4%

Explanation

Let the cost price of 1 litre of pure honey be ₹100. To make a profit while selling at this exact cost price, the entire profit margin must come entirely from the volume of free water added.

To achieve a 20\% profit on a 1-litre transaction, the seller must generate an extra volume equivalent to 20\% of the base honey amount. Water needed = 20\% of 1 litre = 0.2 litres.

The question asks what percent of water must be mixed relative to the honey base to achieve this gain fraction, which corresponds to exactly 20\%.

When a diluted mixture is sold strictly at the original cost price, the target profit percentage matches the volume percentage of the adulterant added relative to the base.

Answer: (a).

Question details

Year

2024

Paper

CSAT

Question

Q16

Section

Numerical Ability

Sub-topic

Mixtures & Alligations / Profit & Loss

Type

Factual single

Difficulty

Easy

Source hint

Percent of water mixed with honey to gain 20% selling at cost price

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