Ratio (Solved Problems) - Part 1

Aptitude & Reasoning: Solved Problems on Ratio.
Problem 1: If A:B = 3:2, B:C = 5:4, and C:D = 3:7, then what will be A:B:C:D?

Problem 2: A mixture contains milk and water in the ratio 4:1. by adding 10 liters of water, the ratio becomes 2:1. Find the amount of milk in the mixture.

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[anasriyaz]

Detail explanation of the above HOME WORK question

Let the common factor be x
m : w = 4 : 1 (given)

m:w = 4x : x

The total amount of mixture = 40 l

4x + x = 40
x = 8
Now initial quantity of milk = 4 * x = 4 * 8 = 32 l
Initial quantity of water = x = 8 l

after adding water ratio becomes 2 : 3 (given)

Let the amount of water added to be y

m : (w + y) = 2 : 3

put m = 32, w = 8 in the above equation,
we get y = 40 litre As

[molligarijaipalcse-esec-]

Let the common factor be x
m : w = 4 : 1 (given)

m:w = 4x : x

The total amount of mixture = 40 l

4x + x = 40
x = 8
Now initial quantity of milk = 4 * x = 4 * 8 = 32 l
Initial quantity of water = x = 8 l

after adding water ratio becomes 2 : 3 (given)

Let the amount of water added to be y

m : (w + y) = 2 : 3

put m = 32, w = 8 in the above equation,
we get y = 40 litre

[tusharmalhotra]

Total amount = 40 L
m:w = 4:1
Total amount of milk = 4x litres
Total amount of water = x litres
ATQ,
4x + x = 40
5x = 40
x = 8

Total amount of milk = 32 litres
Total amount of water = 8 litres

Let amount of water to be added = y litres
32 : (8 + y) = 2 : 3
32/(8 + y) = 2/3

32*3/2 = 8 + y
96/2 – 8 = y
48 - 8 = y
40 = y

[rakeshk]

Very Greatful to Neso Academy for beautiful course content....I would like to request for increasing the frequency of uploading videos...🎯Thank You!!!

[harshyadav]

Sir can we get aptitude videos more faster please 🙏

[samiullah]

Please make more video on aplitude and reasoning with more complex and diverse problems.

[siddharthshukla]

40 litres sir.Thank you sir for this awesome lecture.

[josiahbrough]

For the starting "4:1", if the "4" were to become 2 It would mean the "1" doubled. Therefore, we can reason we started with 10 litres and then doubled to 20 litres. Finally using 2:1 the milk is just double that of the water 40 litres.

[be_you]

4O litres....Waiting for the upcoming lectures....PLEASE please upload soon...

[madhavanand]

Correct Answer
(c) 40 Litres ✅

Solution :
Given 4:1 means 4L Milk and 1L Water. Thus, 5L of mixture.
Now, to convert 5L of Mixture from 4:1 to 2:3 ratio we need 5L water.
( I got this 5L water on solving this equation, 4 : (1+x) = 2 : 3 )
Thus For 5L mixture, we need 5L Water
For 40L mixture, we ofcourse need 8 times water which is 40 Litres
of Water.

[divyamharbola]

sir, please upload the solution to the homework question.
thanks for such good lectures.

[abhisheksingh__g]

40 litres will be the answer...CORRECT OR

[aniketkumarprasad]

Homework - answer - option c) 40 itres.

[BHANUPRATAP-woch]

Superb sir I am big fan sir .
You are superb sir

[AAND]

How is the answer in problem 2 is 40 litres since the final milk to water ratio after adding 10 litres of water is 2:1? It should be 20 litres, isn't it ? Thank you and thanks a ton for the videos 👌

[vishalkariya]

Sir please complete analog electronics.

[Hulk]

4x/x+y = 2/3, here x = 8 then y(amount of water) = 40 Ltr

[tryingtobebettercreature]

Sir can you provide the full video course before gate 2021

[deekshasingh]

Can you explain the homework problems ?? I am not getting same ans.

[jeevapriya]

Sir plz make more aptitude topics with shortcut tricks