A milk man sells the milk at the cost price but he mixes the water in it and thus he gains 9.09%. The quantity of water in the mixture of 1 liter is :

Correct Answer: 30

Explanation:

pool : kerosene 

   3  :  2(initially) 

   2  :  3(after replacement)

 

  R e m a i n i n g Q u a n t i t y I n i t i a l Q u a n t i t y = 1 - R e p l a c e d Q u a n t i t y T o t a l Q u a n t i t y

 

(for petrol)    2 3 = 1 - 10 k

 => K = 30

 Therefore the total quantity of the mixture in the container is 30 liters.

Correct Answer: 5

Explanation:

           Wine                         Water

            8L                              32L

            1                :               4

           20 %                           80% (original ratio)

           30 %                           70% (required ratio)

 

In  ths case, the percentage of water being reduced when the mixture is being replaced with wine.

 

so the ratio of left quantity to the initial quantity is 7:8

 

Therefore ,  7 8 = 1 - K 40

 

=> K = 5 Lit

Correct Answer: Rs. 18

Explanation:

Let the price of the mixed variety be Rs. x per kg. By the rule of alligation, we have :

 

Cost of 1 kg of type 1 rice           Cost of 1 kg of type 2 rice  

 

 

 

 

?(20-x)/(x-15) = 2/3 

? 60 - 3x = 2x - 30

  ? x = 18.

Correct Answer: 63 Kg

Explanation:

By the rule of alligation:

C.P. of 1 kg sugar of 1st kind      C.P. of 1 kg sugar of 2nd kind 

 

  

 

Therefore, Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3. 

Let x kg of sugar of 1st kind be mixed with 27 kg of 2nd kind. 

Then, 7 : 3 = x : 27 or x = (7 x 27 / 3) = 63 kg.

Correct Answer: 10 liters

Explanation:

Number of liters of water in 125 liters of the mixture = 20% of 150 = 1/5 of 150 = 30 liters

 

Let us Assume that another 'P' liters of water are added to the mixture to make water 25% of the new mixture. So, the total amount of water becomes (30 + P) and the total volume of the mixture becomes (150 + P)

 

Thus, (30 + P) = 25% of (150 + P)

 

Solving, we get P = 10 liters

Correct Answer: 13 and 27

Explanation:

Total no.of boys : no. of girls = 13:27

       27             :                13

Correct Answer: 32

Correct Answer: 2:3

Explanation:

By the rule of alligation:
Cost of 1 kg rice of 1st kind                  Cost of 1 kg rice of 2nd kind 

 

 

  Required ratio = 60 : 90 = 2 : 3

Correct Answer: 5:3

Explanation:

W 1 : A 1 W 2 : A 2 . . . . . W N : A N

  2 : 3                   4 : 5                    5 : 7 

 

W 1 W 1 + A 1 = 2 5 W 2 W 2 + A 2 = 4 9 W N W N + A N = 5 12

= 72/180

= 80/180

= 75/180  

                     

 

 =>     5   :   3

 

Therefore, the ratio is  5: 3

Correct Answer: 5 litres

Explanation:

Total quantity of mixture = 75 litre

Milk  :  Water  =  4  :  1   

            

                   3       :       1