Two vessels containing water and milk in the ratio 2:3 and 4:5 are mixed in the ratio 1:2 . The ratio of milk and water in the resulting mixture is:

Option b: 77:58. Solution: Let V1 denote the first vessel and V2 denote the second vessel. Step 1: Determine the composition of water and milk in Vessel 1. The ratio of water to milk in Vessel 1 is given as 2:3 . This means that for every 2 parts of water, there are 3 parts of milk. The total number of parts in Vessel 1 is 2+3=5 . Therefore, the fraction of water in Vessel 1 is 2/5 , and the fraction of milk in Vessel 1 is 3/5 . Step 2: Determine the composition of water and milk in Vessel 2. The ratio of water to milk in Vessel 2 is given as 4:5 . This means that for every 4 parts of water, there are 5 parts of milk. The total number of parts in

Two vessels containing water and milk in the ratio $2:3$ and $4:5$ are mixed in the ratio $1:2$. The ratio of milk and water in the resulting mixture is:

The correct answer is Option b: $77:58$. Let $V_1$ denote the first vessel and $V_2$ denote the second vessel. Step 1: Determine the composition of water and milk in Vessel 1. The ratio of water to milk in Vessel 1 is given as $2:3$. This means that for every $2$ parts of water, there are $3$ parts of milk. The total number of parts in Vessel 1 is $2+3=5$. Therefore, the fraction of water in Vessel 1 is $\frac{2}{5}$, and the fraction of milk in Vessel 1 is $\frac{3}{5}$. Step 2: Determine the composition of water and milk in Vessel 2. The ratio of water to milk in Vessel 2 is given as $4:5$. This means that for every $4$ parts of water, there are $5$ parts of milk. The total number of parts in

Ratio, Proportion, Indices, LogarithmMCQMTP Jun 23 - Series IIQuestion 845 of 305

All Questions

Two vessels containing water and milk in the ratio $\displaystyle 2:3$ and $\displaystyle 4:5$ are mixed in the ratio $\displaystyle 1:2$ . The ratio of milk and water in the resulting mixture is:

Options

\displaystyle 58:77

\displaystyle 77:58

\displaystyle 68:77

DNone of these

For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option b — $\displaystyle 77:58$

All Options:

A $\displaystyle 58:77$
B $\displaystyle 77:58$
C $\displaystyle 68:77$
DNone of these

Detailed Solution & Explanation

Let

\displaystyle V_1

denote the first vessel and

\displaystyle V_2

denote the second vessel. Step 1: Determine the composition of water and milk in Vessel 1. The ratio of water to milk in Vessel 1 is given as

\displaystyle 2:3

. This means that for every

\displaystyle 2

parts of water, there are

\displaystyle 3

parts of milk. The total number of parts in Vessel 1 is

\displaystyle 2+3=5

. Therefore, the fraction of water in Vessel 1 is

\displaystyle \frac{2}{5}

, and the fraction of milk in Vessel 1 is

\displaystyle \frac{3}{5}

. Step 2: Determine the composition of water and milk in Vessel 2. The ratio of water to milk in Vessel 2 is given as

\displaystyle 4:5

. This means that for every

\displaystyle 4

parts of water, there are

\displaystyle 5

parts of milk. The total number of parts in

About This Chapter: Ratio, Proportion, Indices, Logarithm

Paper

Paper 3: Quantitative Aptitude

Weightage

5-7 Marks

Key Topics

Ratio, Proportion, Indices, Logarithms

This chapter covers Ratio, Proportion, Indices, Logarithms and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 5-7 Marks weightage. Focus on understanding core concepts rather than memorizing.

Ready to Master Ratio, Proportion, Indices, Logarithm?

Practice all 305 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free

Two vessels containing water and milk in the ratio 2:3\displaystyle 2:32:3 and 4:5\displaystyle 4:54:5 are mixed in the ratio 1:2\displaystyle 1:21:2. The ratio of milk and water in the resulting mixture is: