MEDIUM

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$8 l$ cold drink was added to a $20 l$ mixture of water and orange juice such that the ratio of orange juice to that of cold drink and water is $1 : 3$ . Find the amount of orange juice in the solution.

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Important Questions on Averages

MEDIUM

Mathematics>Arithmetic>Averages>Mixtures and Alligations

25

litres of a mixtures contains

30 %

of spirit and rest water. If

5

litres of water be mixed in it, the percentage of spirit in the new mixture is:

EASY

Mathematics>Arithmetic>Averages>Mixtures and Alligations

A container contains

40

litres of milk. From this container

4

litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

EASY

Mathematics>Arithmetic>Averages>Mixtures and Alligations

Two bottles of the same capacity are

35 %

and

33 \frac{1}{3} %

full of orange juice, respectively. They are filled up completely with apple juice and the contents of both the bottles are emptied into another vessel. The percentage of apple juice in the mixture is:

EASY

Mathematics>Arithmetic>Averages>Mixtures and Alligations

In what ratio, sugar costing

Rs . 60 per kg

be mixed with sugar costing

Rs . 42 per kg

such that by selling the mixture at

Rs . 56 per kg

there is a gain of

12 %

EASY

Mathematics>Arithmetic>Averages>Mixtures and Alligations

7

litres mixture of milk and water contains

30 %

water.

3.5

litres of milk is added to this mixture. What is the percentage of water in the new mixture?

EASY

Mathematics>Arithmetic>Averages>Mixtures and Alligations

A vessel contains a solution of two liquids A and B in the ratio

5 : 3

. When

10 liters

of the solution is taken out and replaced by the same quantity of B, the ratio of A and B in the vessel becomes

10 : 11

.The quantity (in

litres

) of the solution, in the vessel, was ______.

MEDIUM

Mathematics>Arithmetic>Averages>Mixtures and Alligations

How much quantity (in kg.) of wheat costing

R s . 84

per kg. must be mixed with

81

kg. of wheat costing

R s . 60

per kg. so that on selling the mixture at

R s . 75.9

per kg, there is a gain of

15 %

EASY

Mathematics>Arithmetic>Averages>Mixtures and Alligations

A grocer mixes coffee powder of two types, one of which is priced at

₹ 60

and the other at

₹ 90

. What should be the ratio of combining the two, to sell the blended mix of coffee powder of the two types at

₹ 80 ?

MEDIUM

Mathematics>Arithmetic>Averages>Mixtures and Alligations

In what ratio a man must mix pulses at

₹ 11.10

per

kg

with

₹ 15.20

per

kg

so as to make a mixture worth

₹ 13.20

per

kg

MEDIUM

Mathematics>Arithmetic>Averages>Mixtures and Alligations

Two varieties of sugar are mixed together in a certain ratio. The cost of the mixture per Kg is

₹ 0.50

less than that of the superior and

₹ 0.75

more than the inferior variety. The ratio in which the superior and inferior varieties of sugar have been mixed is:

EASY

Mathematics>Arithmetic>Averages>Mixtures and Alligations

The ratio (by volume) of milk and water in a mixture is

2 : 1

. If we add

12 litres

of water in the mixture, then the ratio of milk and water becomes

4 : 3

. What is the quantity of water in the new mixture?

MEDIUM

Mathematics>Arithmetic>Averages>Mixtures and Alligations

In what ratio must a mixture of

15 %

spirit strength be mixed with that of

25 %

spirit strength to get a mixture of

21 %

spirit strength?

MEDIUM

Mathematics>Arithmetic>Averages>Mixtures and Alligations

In a mixture of

60 litres

, the ratio (by volume) of milk and water is

2 : 1

. If X litres of water is added to the mixture, the ratio of milk and water becomes

1 : 2

, then what is the value of X?

MEDIUM

Mathematics>Arithmetic>Averages>Mixtures and Alligations

A vessel contains a

32

litres

solution of acid and water in which the ratio of acid and water is

5 : 3

12 litres

of the solution are taken out and

7 \frac{1}{2} litres

of water and added to it, then what is the ratio of acid and water in the resulting solution?

EASY

Mathematics>Arithmetic>Averages>Mixtures and Alligations

729 l

solutions of acid and water, The ratio of acid and water is

7 : 2

.How many litres of water must be added to it to get the solution in which the ratio of acid and water is

5 : 3

MEDIUM

Mathematics>Arithmetic>Averages>Mixtures and Alligations

Alloy

A

contains metals

x

and

y

in the ratio

5 ∶ 2

and alloy

B

contains these metals in the ratio

3 ∶ 4

. Alloy

C

is prepared by mixing

A

and

B

in the ratio

4 ∶ 5

. Find the percentage of

y

in alloy

C

MEDIUM

Mathematics>Arithmetic>Averages>Mixtures and Alligations

Fifty litres of a mixture of milk and water contains

30

percent of water. This mixture is added to eighty litres of another mixture of milk and water that contains

20

percent of water. Then, how many litres of water should be added th the resulting mixture to obtain a final mixture that contains

25

percent of water?

EASY

Mathematics>Arithmetic>Averages>Mixtures and Alligations

A $50$ litre mixture of water and alcohol contains $10 %$ alcohol. How much more alcohol must be added to make the strength of alcohol $40 %$ in the new mixture?

MEDIUM

Mathematics>Arithmetic>Averages>Mixtures and Alligations

A

can contain a mixture of two liquids

A

and

B

in the ratio

7 : 5

. When

9 L

of mixture is drain off and the can is filled with

B

, the ratio of

A

and

B

becomes

7 : 9

. How many litres of liquid

A

was contained by the can initially?

HARD

Mathematics>Arithmetic>Averages>Mixtures and Alligations

There are three kinds of liquids $X, Y, Z$ . Three jars $J_{1}, J_{2}, J_{3}$ contain $100$ ml of liquids $X, Y, Z$ respectively. By an operation we mean three steps in the following order:

- stir the liquid in $J_{1}$ and transfer $10$ ml from $J_{1}$ into $J_{2};$

- stir the liquid in $J_{2}$ and transfer $10$ ml from $J_{2}$ into $J_{3};$

- stir the liquid in $J_{3}$ and transfer $10$ ml from $J_{3}$ into $J_{1};$

After performing the operation four times, let $x, y, z$ be the amounts of $X, Y, Z$ respectively in $J_{1}$ . Then

8l cold drink was added to a 20l mixture of water and orange juice such that the ratio of orange juice to that of cold drink and water is 1 : 3. Find the amount of orange juice in the solution.

Important Questions on Averages

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$8 l$ cold drink was added to a $20 l$ mixture of water and orange juice such that the ratio of orange juice to that of cold drink and water is $1 : 3$ . Find the amount of orange juice in the solution.