Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

Correct Answer: 32

Correct Answer: 13 and 27

Explanation:

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

       27             :                13

Correct Answer: 83.33 ml

Explanation:

Profit (%) = 9.09 % = 1/11

 

Since the ratio of water and milk is  1 : 11,

 

Therefore the ratio of water is to mixture = 1:12

 

Thus the quantity of water in mixture of 1 liter = 1000 x (1/12) = 83.33 ml

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: 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

Correct Answer: 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 =  x 1 - y x n units, Where n = no of operations . 

 

So, Quantity of Milk =  x 1 - 6 x 2  

 

Given that, Milk : Water = 9 : 16 

 

=> Milk : (Milk + Water) = 9 : (9+16)

 

=> Milk : Mixture = 9 : 25 

 

 Therefore,  x 1 - 6 x 2 x = 9 25

 

=> x = 15 liters

Correct Answer: 22 lit

Explanation:

Let the capacity of the pot be 'P' litres.
Quantity of milk in the mixture before adding milk = 4/9 (P - 8)
After adding milk, quantity of milk in the mixture = 6/11 P.
6P/11 - 8 = 4/9(P - 8)
10P = 792 - 352 => P = 44.

The capacity of the pot is 44 liters.

Correct Answer: 15 boys and 35 girls

Explanation:

Average money received by each = 118/50 = Rs. 2.36
Therefore, Ratio of No.of boys and girls = 56 : 24 = 7 : 3
Therefore, Number of boys = 50 x (7/10) = 35
Number of girls = 50 - 35 = 15