# Aptitude - Ratio and Proportion - Discussion

Discussion Forum : Ratio and Proportion - General Questions (Q.No. 5)

5.

In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is:

Answer: Option

Explanation:

Quantity of milk = | 60 x | 2 | litres = 40 litres. | |

3 |

Quantity of water in it = (60- 40) litres = 20 litres.

New ratio = 1 : 2

Let quantity of water to be added further be *x* litres.

Then, milk : water = | 40 | . | ||

20 + x |

Now, | 40 | = | 1 | ||

20 + x |
2 |

20 + *x* = 80

*x* = 60.

Quantity of water to be added = 60 litres.

Discussion:

139 comments Page 1 of 14.
Thanglalmawn Gangte said:
2 months ago

By Using the relation,

X(ad-bc)/c(a+b)

We get,

= 60(2×2-1×1)/1(2+1),

= 60(4-1)/3,

= 60.

X(ad-bc)/c(a+b)

We get,

= 60(2×2-1×1)/1(2+1),

= 60(4-1)/3,

= 60.

Mehbub said:
4 months ago

So the ratio using;

n = a + b/c + d.

2 + 1/1 + 2 = 1.

Q = 1

Therefore,

1*60 = 60litres.

n = a + b/c + d.

2 + 1/1 + 2 = 1.

Q = 1

Therefore,

1*60 = 60litres.

(8)

Tanoy Saha said:
8 months ago

The first ratio is 1 : 3.

Quantity of water, 60 * 1/3 = 20,

Another ratio is 2 : 3.

Quantity of water, 60 * 2/3 = 40.

Quantity of water to be added = (20 + 40) = 60 litres.

Quantity of water, 60 * 1/3 = 20,

Another ratio is 2 : 3.

Quantity of water, 60 * 2/3 = 40.

Quantity of water to be added = (20 + 40) = 60 litres.

(17)

Palash Dhore said:
11 months ago

Initial ratio of milk : water = 2:1.

So (2+1=3) these 3 unit belongs to 60 litres.

Therefore, 2 units of milk belong to 40 litres and 1 unit of water belongs to 20 litres.

Further water is added so the ratio of milk: water = 1:2 => given.

As water is added but the previous quantity of milk is the same which is 40 litres(only ratio change).

So here we consider the 1 unit of milk as 40 litres and therefore 2 units of water is 80 litres.

The final quantity of water -Initial quantity of water = 80 - 20 = 60 litres.

Further water added is 60 litres.

So (2+1=3) these 3 unit belongs to 60 litres.

Therefore, 2 units of milk belong to 40 litres and 1 unit of water belongs to 20 litres.

Further water is added so the ratio of milk: water = 1:2 => given.

As water is added but the previous quantity of milk is the same which is 40 litres(only ratio change).

So here we consider the 1 unit of milk as 40 litres and therefore 2 units of water is 80 litres.

The final quantity of water -Initial quantity of water = 80 - 20 = 60 litres.

Further water added is 60 litres.

(43)

Aditya said:
2 years ago

The ratio of milk to water is given as: 2:1.

Let us assume a quantity of milk is 2x ans water is x.

Therefore ,

2x + x = 60 liters (Total mixture).

3x = 60

x = 20 --------(1)

Now milk is 2x therefore 2*20 = 40 liters is milk.

Now new water is added therefore x becomes (20 + x),

now new ration is given 40 /(20+x) = 1/2,

80 = 20 + x.

x = 60 Liters.

Let us assume a quantity of milk is 2x ans water is x.

Therefore ,

2x + x = 60 liters (Total mixture).

3x = 60

x = 20 --------(1)

Now milk is 2x therefore 2*20 = 40 liters is milk.

Now new water is added therefore x becomes (20 + x),

now new ration is given 40 /(20+x) = 1/2,

80 = 20 + x.

x = 60 Liters.

(47)

Nagasheshu said:
2 years ago

60 lit, 2:1.

2x +1x = 60 lit,

3x = 60,

x = 60/3,

x = 20 lit.

2x +1x = 60 lit,

3x = 60,

x = 60/3,

x = 20 lit.

(22)

Souvik das said:
2 years ago

The ratio of milk and water in 60L is;

m=2.

w=1 (2+1)=3,

milk = 2/3, water=1/3.

milk in 60L = 2/3 * 60= 40L.

water in 60L = 1/3 * 60= 20L,

40:(20+60)=4:8= 1:2.

m=2.

w=1 (2+1)=3,

milk = 2/3, water=1/3.

milk in 60L = 2/3 * 60= 40L.

water in 60L = 1/3 * 60= 20L,

40:(20+60)=4:8= 1:2.

(8)

Kushal said:
2 years ago

@All.

Simply the solution is;

Mixture = 60 litre.

The ratio is 2: 1 , so milk:water=40:20.

New ratio= 1: 2 , means milk : water should be 40:80.

Water in the new mixture should be 80.

Less water already in the mix 20.

Water to be added now is 60.

Simply the solution is;

Mixture = 60 litre.

The ratio is 2: 1 , so milk:water=40:20.

New ratio= 1: 2 , means milk : water should be 40:80.

Water in the new mixture should be 80.

Less water already in the mix 20.

Water to be added now is 60.

(39)

Swetha said:
3 years ago

m:w=2:1

m+w=60

2x+x-=60

x=20.

m=40 w=20.

Added water be y.

40:(20+y) = 1:2.

On cross multiplication

y=60.

m+w=60

2x+x-=60

x=20.

m=40 w=20.

Added water be y.

40:(20+y) = 1:2.

On cross multiplication

y=60.

(11)

Chith said:
3 years ago

The initial quantity of milk=(2/3)*90 = 60,

Initial quantity of water=(1/3)*90 = 30,

If the ratio is to be 2:3 the water to be added;

(60Ã·(30+x)) = 2/3,

X = 60.

Initial quantity of water=(1/3)*90 = 30,

If the ratio is to be 2:3 the water to be added;

(60Ã·(30+x)) = 2/3,

X = 60.

(6)

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