3
Q:

From a container, 6 liters milk was drawn out and was replaced by water. Again 6 liters of mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9:16. The quantity of mixture is:

A) 15 B) 16
C) 25 D) 31

Answer:   A) 15

Explanation:

Let quantity of mixture be x liters.

Suppose a container contains x units of liquid from which y units are taken out and replaced by water. After operations , the quantity of pure liquid =  units, Where n = no of operations .

So, Quantity of Milk = 

 

 

Given that, Milk : Water = 9 : 16

 Milk : (Milk + Water) = 9 : (9+16)

 Milk : Mixture = 9 : 25

 

 

Q:

A Container has a capacity of 48 litres and is full of milk. 4 liters of milk is taken out of it and replaced by same quantity of water. Again 4 liters of the mixture is taken out and replaced by the same quantity of water . The process is repeated five times. How much milk is left in the mixture ?

Answer

 = 



Milk left in the container = 



 =  liters

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8 467
Q:

In what proportion water must be added to spirit to gain 20% by selling it at the cost price ?

Answer

Let the C.P of spirit be = Rs.10 per litre


S.P of the mixture = Rs. 10 per litre


Profit = 20


 C.P of the mixture = Rs.  = Rs.  per litre




Ratio of water and spirit = 1 : 5

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4 1250
Q:

A sum of Rs.118 was divided among 50 boys and girls such that each boy received Rs.2.60 and each girl Rs.1.80. Find the number of boys and girls ?

Answer

Average money received by each =  = Rs. 2.36



Ratio of No.of boys and girls = 56 : 24 = 7 : 3


 Number of boys =  = 35


Number of girls = 50 - 35 = 15

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10 925
Q:

A man travelled a distance of 80 km in 7 hours partly on foot at the rate of 8 km per hour and partly on bicycle at 16 km /hr. Find the distance travelled on foot ?

Answer



Thus out of 7 hrs in all, he took 4 hrs to travel on foot 


 Distance covered on foot in 4 hrs = ( 4 x 8) = 32 km

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6 1041
Q:

In what ratio should two varieties of tea at Rs. 60 per kg and Rs.120 per kg be mixed together so that by selling the mixture at Rs.96 per kg, a profit of Rs.20% is obtained ?

Answer

Let us first calculate the cost of price of the mixture. the selling price of the mixture is given as Rs.96 and the profit is given as 20%. So, Cost price =  = Rs. 80


Now, let us apply allegation method :



= 40 : 20 =  2 : 1

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7 276