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# Alligation or Mixture Questions

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If a and b are mixed in 3:5 ration and b and c are mixed in 8:5 ration if the final mixture is 35 liters, find the amount of b?

A13.34

B15.73

C16.73

D9.45

Explanation:

a:b:c,then b ratio is b/(a+b+c)*35

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5 coffee and 4 tea costs Rs.96, 5 badam milk and 6 coffee costs Rs. 32 and 7 tea and 6 badam milk costs Rs.37. What is the combined price of 1 tea, 1 coffee and 1 badam milk?

A12

B15

C20

D16

Explanation:

Acc. to the question:
5c+4t=96 ----- (i)
5b+6c=32 ----- (ii)
7t+6b=37 ----- (iii)
11c+11b+11t=165
b+c+t= 15Rs

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If a Strawberry and a Butterscotch together cost Rs. 18.00, a Vanilla and a Strawberry cost Rs. 9.00 and a Butterscotch cost Rs.9.00 more than a Vanilla or a Strawberry then which of the following can be the price of a Butterscotch?

ARs. 13.5

BRs.10

CRs. 12

DRs. 13

Explanation:

Acc. to the question
S+B= 18 ---- (1)
V+S= 9 ---- (2)
B-S=9 ---- (3)
Adding (1) and (3) we get
2B= 27 so B= 13.5Rs

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Two beakers are on the table. The capacity of the first beaker is x liters and that of the second beaker is 2x liters. Two thirds of the first beaker and one fourth of the second beaker is filled with wine. The remaining space is filled with water. If the content in both the beakers are mixed in a large beaker of volume 3x liters, what is the proportion of wine in the beaker?

A12/11

B11/36

C7/6

D7/18

Explanation:

capacity of beakers x,2x,3x
2/3(x)+1/4(2x)=7x/6
wine proportion is =7x/(6*3x)=7/18

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A manufacturing company has 15% cobalt ,25% led and 60% of copper. If 5kg of led is used in a mixture, how much copper we need to use:

A12 kg

B14 kg

C10 kg

D9 kg

Explanation:

25%=5kg
100%=20kg
60% of 20 kg= 12 kg

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In what ratio must water be added to 10 liters of milk at Rs.20 per liter so that cost of mixture is Rs.16 per liter?

A3:2

B1:4

C2:3

D4:1

Explanation:

10 lit milk cost 20 Rs For 1Rs, Milk = 1/2 lit
For 16Rs, Milk = (1/2)*16 = 8 lit (Milk)
Total quantity should be 10 litres.
so 10 - 8 = 2 lit ( water have to add)
Now ratio = 2(water) : 8(Milk) = 1:4

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Find the quantities of two types of rice to be mixed, first variety is of Rs.12 per kg and second variety is of Rs.20 per kg. to get 12kg of rice mixture worth Rs.15 per kg?

A3.5, 8.5

B7, 5

C7.5, 4.5

D8, 4

Explanation:

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A milkman mixed 10 liters of water to 50 litres of milk of Rs.16 per liter, then cost price of mixture per liter is

ARs.15.16

BRs.13.33

CRs.15

DRs.14.23

Explanation:

Let price of water per liter be Re. 1
((10*1)+(50*16))/60 =13.33

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In what ratio tea of Rs.80 per kg be mixed with 12kg tea of Rs.64 per kg, so thai cost price of mixture is Rs.74 per kg?

A3:5

B5:3

C2:5

D2:3

Explanation:

(74-64)/(80-74) = 5/3

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A vessel is full of a mixture of spirit and water in which there is found to be 17% of spirit by measure. Ten litres are drawn off and the vessel is filled up with water. The proportion of spirit is now found to be 15 1/9%. How much does the vessel hold?

A70 litres

B90 litres

C80 litres

D85 litres

Explanation:

In 10L of water drawn amount of spirit present is = (17/100)*10 =1.7 L .
Lets assume x is the capacity of the vessel
from 17% amount of spirit comes down to 15 1/9% .
The difference between this percentage is (17% - 15 1/9%) = 17/9 % x
17/9 % x =1.7 litres .
=> x = 90 L

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