# a vessel is completely filled with a mixture of two liquids p and q

### Mohammed

Guys, does anyone know the answer?

get a vessel is completely filled with a mixture of two liquids p and q from screen.

## A container contains a mixture of two liquids P and Q in the ratio 7:5 .When 9 litres of mixture are drawn off and the container is filled with Q , the ratio of P and Q becomes 7:9 .How many litres of liquid P was contained in the container initially?

Click here👆to get an answer to your question ✍️ A container contains a mixture of two liquids P and Q in the ratio 7:5 .When 9 litres of mixture are drawn off and the container is filled with Q , the ratio of P and Q becomes 7:9 .How many litres of liquid P was contained in the container initially?

Question

## A container contains a mixture of two liquids P and Q in the ratio 7:5.When 9 litres of mixture are drawn off and the container is filled with Q, the ratio of P and Q becomes 7:9.How many litres of liquid P was contained in the container initially?

Medium Open in App Solution Verified by Toppr

Was this answer helpful?

12 3

## [Solved] A vessel contains a mixture of P and Q in the ratio of 5 : 3

Given: A vessel contains a mixture of P and Q in the ratio of 5 : 3. 16 liters of the mixture is taken out and 5 liters of P is poured in. The new mixture ha

Home Quantitative Aptitude Mixture Problems To Make a Mixture from Two or More Things

## Question

Download Solution PDF

## A vessel contains a mixture of P and Q in the ratio of 5 : 3. 16 liters of this mixture is taken out and 5 liters of P is poured in. The new mixture has ratio of P to Q as 11 : 6. Find the total original quantity of mixture.

80 liters 96 liters 98 liters 84 liters

## Answer (Detailed Solution Below)

Option 2 : 96 liters

Crack RRB ALP Technician with

India's Super Teachers

FREE

Demo Classes Available*

Explore Supercoaching For FREE

**Free Tests**

View all Free tests >

FREE

RRB ALP 2018 Full Test (Stage II - Part A)

1.3 Lakh Users

100 Questions 100 Marks 90 Mins

Start Now

## Detailed Solution

Download Solution PDF

**Given:**

A vessel contains a mixture of P and Q in the ratio of 5 : 3.

16 liters of the mixture is taken out and 5 liters of P is poured in.

The new mixture has ratio of P to Q as 11 : 6.

**Calculation:**

**Short Trick:**

total original quantity of mixture = 80 + 16 = 96 liters

**Detailed Solution:**

P = 5x, Q = 3x

The quantity of P and Q in 16 liters of the mixture,

Quantity of P = (16 × 5x)/8x = 10

Quantity of Q = (16 × 3x)/8x = 6

Now, 5 liters of P poured in and then ratio becomes 11 ∶ 6

(5x - 10 + 5)/(3x - 6) = 11/6

(5x - 5)/(3x - 6) = 11/6

Solve, x = 12

**So total mixture originally = 8x = 8 × 12 = 96 liters**

Download Solution PDF

Share on Whatsapp

Latest RRB ALP Updates

Last updated on Jan 17, 2023

The Railway Recruitment Board (RRB) released the list of provisionally selected waitlisted candidates for the post of RRB ALP (Assitant Loco Pilot) on 29th June 2022. The candidates should note that this is with reference to CEN-01/2018. The selected candidates will have to go through the process of document verification and fulfillment of other eligibility criteria. You can click on RRB ALP Result to check the list of the shortlisted candidates. The 2023 recruitment process for loco pilot is awaited.

Stay updated with the Quantitative Aptitude questions & answers with Testbook. Know more about Mixture Problems and ace the concept of To Make a Mixture from Two or More Things.

India’s **#1 Learning** Platform

Start Complete Exam Preparation

Daily Live MasterClasses

Practice Question Bank

Mock Tests & Quizzes

Get Started for Free

Download App

Trusted by 3.6 Crore+ Students

‹‹ Previous Ques Next Ques ››

## More To Make a Mixture from Two or More Things Questions

**Q1.**In 1 kg. mixture of sand and iron, 20% is iron. How much sand should be added so that the proportion of iron becomes 10% ?

**Q2.**60 kg of an alloy A is mixed with 100 kg of alloy B. If alloy A has lead and tin in the ratio 3 ∶ 2 and alloy B has tin and copper in the ratio 1 ∶ 4, then the amount of tin in the new alloy is :

**Q3.**In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 per kg ?

**Q4.**How many kilograms of rice costing ₹18 per kg must be mixed with 30 kg of rice costing ₹14 per kg so that the resultant mixture will cost ₹15 per kg?

**Q5.**The ratio of acid and water in vessels A and B is 4 : 5 and 2 : 3, respectively. Six litres of solution from A, 2 litres from B are mixed in vessel C. What is the ratio of acid and water in solution in vessel C?

**Q6.**Alloy A contains metals x and y only in the ratio 5 ∶ 2, while alloy B contains them in the ratio 3 ∶ 4. Alloy c is prepared by mixing alloys A and B in the ratio 4 ∶ 5. the percentage of x in alloy C is:

**Q7.**A milkman uses three containers for selling milk and their capacities being 60 litres, 56 litres and 44 litres respectively. He fills

8313 %, 8557 % and 901011

% of the containers with a mixture of milk and water in the ratios 4 : 1, 5 : 3 and 7 : 1 respectively. What is the ratio of total quantity of water to that of milk carried by him?

**Q8.**There are three drinking solutions A, B, and C available in the market. In A the ratio of vitamin C and vitamin D is 3 ∶ 1, in B the ratio of vitamin C and vitamin D is 3 ∶ 2 and in C, the ratio of vitamin C and vitamin D is 1 ∶ 1. Rohit bought 2 litres of A, 5 litres of B, and 3 litres of C and mixed them. Find the ratio of vitamin C and vitamin D in the mixture.

**Q9.**Two liquids A and B are mixed in a bucket in the ratio 7 : 5. If 9 liters of the mixture is replaced by 10 liters of liquid B, the ratio of both the liquids becomes 7 : 9. How many liters of liquid A was in the bucket?

**Q10.**In an alloy proportion of Zinc, Copper and Lead is 2 : 3 : 1. In another alloy the proportion of Zinc. Copper and Lead is 5 : 4 : 3. A third alloy is prepared by mixing both alloys in the same quantity. The proportion of Lead, Copper, and Zinc in the third alloy will be.

## More Mixture Problems Questions

**Q1.**A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by 4 litres of water. This process was repeated further two times. How much milk is left in the container ?

## A vessel contains a mixture of liquid P and Q in the ratio of 3:2. When 20 litres of the mixture is taken out and replaced with 20 litres of liquid Q, the ratio changes to 1:4. How many litres of liquid P were initially present in the vessel?

Answer (1 of 5): * Statement of the given problem, * * A vessel contains a mixture of liquid P and Q in the ratio of 3 : 2. When 20 litres of the mixture is taken out and replaced with 20 litres of liquid Q, the ratio changes to 1 : 4. How many litres of liquid P were initially present in the...

A vessel contains a mixture of liquid P and Q in the ratio of 3:2. When 20 litres of the mixture is taken out and replaced with 20 litres of liquid Q, the ratio changes to 1:4. How many litres of liquid P were initially present in the vessel?

Ad by USAFIS

This is the best time to apply for the Green Card DV Lottery!

Get a chance to win and apply today! America is waiting for you with many amazing opportunities.

Sort Antonio Daniels

Former Learner 2020- ChemistAuthor has 5.3K answers and 2.3M answer views6mo

P/Q=3/2

2/5X -2/5(20) + 20 = 4/5X

X = 30 P??? 3/5(30) = 18 L Related questions

A mixture contains liquids P and Q in the ratio of 4:3 . if 52 liters of mixture taken out and replaced with another liquid R , concentration of liquid P in the final mixture becomes 20%. what is the quantity of liquid Q in the final mixture?

A vessel contains liquid A and B in ratio 5:3. If 16 liters of the mixture are removed and the same quantity of liquid B is added, the ratio becomes 3:5. What quantity does the vessel hold?

A vessel contains X and Y in ratio 4:5. 72 litres of mixture is taken out and and filled with 72 liters of Y. Now the ratio changes to 2:5, what is the quantity of Y initially?

A jar contains a mixture of two liquids A and B in the ratio 4 : 1. When 20 litre of the mixture is replaced with liquid B, the ratio becomes 2 : 3.what what The volume of liquid A present in the jar earlier was:?

A jar contains a mixture of X and Y in the ratio 4:1 respectively. When 10 litres of mixture is replaced with liquid Y, ratio becomes 2:3 respectively. How many litres of liquid X was present in the mixture initially?

Shubham Kumar

Studied at Rajkamal Saraswati Vidya Mandir , Dhanbad5y

Sponsored by Grammarly

Working to master your English skills?

Grammarly can help. Get rid of typos, grammatical mistakes, and misused words with a single click!

Tamoghna Mukhopadhyay

M.Sc. in Chemistry, Ramakrishna Mission Residential College, Narendrapur (Graduated 2019)Author has 162 answers and 543.4K answer views5y

Say, initially there was p litres of P & q litres of Q.

Total initial volm = p+q litres

In the taken 20 litres there were 12 litres of P & 8 litres of Q.

After taking 20 litres of Q instead, there were p-12 litres of P & q-8+20 litres of Q. This ratio is 1:4.

From the initial condition,

p/q = 3/2 Or, p= 3q/2 =1.5q

From the final condition,

(p-12)/(q+12) = 1/4 Or, 4p-48 = q+12 Or, p= (q+60)/4 Or, 4*1.5q = q+60 Or, 6q = q+60 Or, 5q = 60 Or, q = 12 litres.

p = 1.5*12 = 18 litres.

Syamal Dey

Ph.D., Former Sr. Scientist, University of Maryland, USAAuthor has 6.5K answers and 3.7M answer views6mo

Statement of the given problem,

A vessel contains a mixture of liquid P and Q in the ratio of 3 : 2. When 20 litres of the mixture is taken out and replaced with 20 litres of liquid Q, the ratio changes to 1 : 4. How many litres of liquid P were initially present in the vessel?

Let PV & QV denote the amounts (in L) of P & V present in the initial mixture respectively.

Hence from above data we get following relations,

PV : QV = 3 : 2 or QV = (2/3)*PV

[PV - 3*20/(3 + 2)] : [QV - 2*20/(3 + 2) + 20] = 1 : 4

or (PV - 12) : (QV - 8 + 20) = 1 : 4

or (PV - 12) : (QV + 12) = 1 : 4

or 4*PV - 48 = QV + 12

or 4*PV Related questions

A vessel contains milk and water in the ratio of 4:3. If 14 litres of the mixture is drawn and filled with water, the ratio changes to 3:4. How much milk was there in the vessel initially?

20 litres of a mixture contains milk and water in the ratio 5:3. If 4 litres of this mixture is replaced by 4 litres of milk, the ratio of milk to water in the new mixture would be what?

A jar contains a mixture of 2 liquids A and B in the ratio 4:1. When 10litres of the mixture is taken out and 10 litres of liquid B is poured into the jar, the ratio becomes 2:3. How many litres of the liquid A was contained in the jar?

A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture was to be drawn off and replaced by water to make the ratio of syrup and water 1 is to 1?

A mixture of milk and water in the ratio is 3:2. If 20 liters of the mixture is taken out and replaced by water, then ratio becomes 2:3. What is the initial quantity of milk?

Vasudevan A.N.S.

B.Sc- Chemistry - 1975 in Chemistry & Mathematics Simple Problems, University of Madras (Graduated 1975)Author has 7.8K answers and 9.3M answer views2y

Let “V”- litres of milk be in the container.

After removing 20- litres of the mixture the volume of Q - in the mixture= (V-20) x 3/5

On adding 20- Litres of Q- to the mixture, the volume of pure Q in the new mixture =(V-20)3/5 + 20 .

This is now equal to =Vx 4/5

So (V-20)3/5 + 20= Vx4/5

So V/5= (20–12)= 8 So V= 40 Litres

Therefore total volume of the mixture =40 litres

So volume of “P”- in the initial mixture = 40 x (2/5)

Guys, does anyone know the answer?