The ratio of milk to honey in 20 litres of a mixture is $ 3 : 2 $. The quantity of milk in the mixture is:

Question

Examoogle · Accepted Answer

The correct answer is Option D: 12 litres. Sum of ratios $3+2=5$. Since $20/5 = 4$, multiply each part by 4. Milk quantity = $3 	imes 4 = 12$ litres.

Step-by-Step Solution & Concepts:
Shortcut Trick: Sum of ratios $3+2=5$. Since $20/5 = 4$, multiply each part by 4. Milk quantity = $3 	imes 4 = 12$ litres.

Formula Used: $$Q_{milk} = \left( \frac{Ratio_{milk}}{Ratio_{milk} + Ratio_{honey}} ight) 	imes Total_{mixture}$$

Given: Total mixture quantity = 20 litres, Ratio of milk to honey = 3 : 2

Steps: Calculate total ratio parts: Add the ratio components of milk and honey together.. Determine value per ratio unit: Divide the total mixture volume by the total number of ratio units.. Calculate milk quantity: Multiply the milk ratio part (3) by the value per unit (4).

Answer: D is correct because the milk represents 3/5 of the total 20 litres, which equals 12 litres.

Exam Tip: This concept is foundational for alligation and mixture problems in competitive exams; always reduce the total quantity by the sum of ratio parts first.

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