Aptitude - Alligation or Mixture - Discussion

Discussion Forum : Alligation or Mixture - General Questions (Q.No. 1)

Alligation or Mixture

A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

Answer: Option

Explanation:

Suppose the vessel initially contains 8 litres of liquid.

Let x litres of this liquid be replaced with water.

Quantity of water in new mixture =		3 -	3x	+ x		litres
			8

Quantity of syrup in new mixture =		5 -	5x		litres
			8

		3 -	3x	+ x		=		5 -	5x
			8						8

5x + 24 = 40 - 5x

10x = 16

x =	8	.
	5

So, part of the mixture replaced =		8	x	1		=	1	.
		5		8			5

Discussion:

198 comments Page 14 of 20.

Jamuna said: 1 decade ago

What is the another way to solve this problem even more easier?

Naidu said: 7 years ago

@Victor.

Your answer is helpful to solve this problem. Thanks.

Ashwin said: 1 decade ago

Hey @Kiran I didn't understand you.

How you get 60% and 40%?

Manoj said: 7 years ago

water : syrup=3:5
requeired 1:1
3:5::a:b=1;1
3b=1
5a=1
a=1/5.

(1)

Twinkle said: 5 years ago

Simply;

(3/8) - (3x/8) + x = (4/8);
This will give x = 1/5.

(1)

Ravi said: 1 decade ago

Uttam and surender. Your answer is perfect. Kiran is wrong.

Divya said: 1 decade ago

Thanks victor. Your way of explanation is short and simple.

Sriman said: 5 years ago

Can anyone please explain how 8/5X1/8 come? Please explain.

(7)

Vaishali Sharma said: 1 decade ago

There has to be a direct formula for this.

Anyone has it?

Nitesh said: 1 decade ago

@ Surendrareddy.

You are rocking. This is the right way.

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