Two vessels A and B contain milk and water mixed in the ratio 5:2 and 8:5 respectively. Find the rat

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15 Jan 2016 Mixture

Two vessels A and B contain milk and water mixed in the ratio 5:2 and 8:5 respectively. Find the ratio in which these mixture are to be mixed to get a new mixture containing milk and water in the ratio 9:4.

OPtion

1) 5:2
2) 3:4
3) 2:9
4) 2:5
5) 4:5
6) 3:2
7) 5:7
8) 8:13
9) 7:2
10)1:4

Solution

Let the C.P. of milk be Re. 1 per litre
Milk in 1 litre mix in A = 5/7 litre
Milk in 1 litre mix in B = 8/13 litre
Milk in 1 litre mix. of this mix = 9/13 litre
C.P. of litre mix in A = Rs 5/7
C.P. of 1 litre mix in B = Rs. 8/13
Mean Price = Rs. 9/13
Therefore
Mix in A : Mix in B = 1/13 : 9/91 = 7:2
Option 9)

Correct Option: 9 Best Solution (15)

Ram Kumar Prajapati   8 years AGO

Milk in Container A= 5/7 of A total
Milk in container B=8/13 of B total
Milk in the mixture = 9/13 of (A+B)
From allegation Ratio of mixing = (9/13 - 8/13) / (5/7 - 9/13)
=7:2

Like? Yes (16) | No (1)  

DEBMALYA GHOSAL   8 years AGO

let cp of milk 1rs. per litre.
so.7 litre mixture A contains 5litre milk.
so cp of container A milk is 5/7 rs.
similarly for container B cp of milk is 8/13.
for container C, cp of milk is 9/13.
the by alligation rule..
5/7 8/13
9/13
1/13 : 2/91
or, 7:2 (option 9)

Like? Yes (11) | No (3)  

Shagun Chaudhary   8 years AGO

using the principle of alligation,
{(9/13)-(8/13)}
--------------------
{(5/7)-(9/13)
=(7/2)

Like? Yes (11) | No (3)  

Yashi Das   8 years AGO

Using alligation,
Proportion of A in the mixture= 63/91 -56/91=7/91
Proportion of B in the mixture=65/91 - 63/91=2/91
Ratio of A to B int he mixture=7/91 : 2/91=7:2

Like? Yes (5) | No (1)  

kondapuram tirumalreddy   8 years AGO

consider milk
cp of milk in A =5/7
cp of water in B =8//13
cp of final mixture =9/13
by the rule of alligation method we get
5/7 8/13
9/13
1/13 2/91
after simplicatiion we get the answer as
7:2

Like? Yes (4) | No   

MRITUNJAY   8 years AGO

by allocation
5/7. 8/13
9/13
7. 2

7:2
option 9

Like? Yes (4) | No (1)  

mustain ahmed   8 years AGO

x from A and y from B..then
(x*5/7)+(y*8/13)=9(x+y)/13...After calculation... x/y=7/2...so,option-9 is correct answer.

Like? Yes (4) | No (1)  

GOURANGA SUNDAR MANDAL   8 years AGO

let x portion of 1st mixture and y portion of 2nd mixure was mixed....then
respect to question..{(5x/7 +8y/13)/(2x/7 +5y/13)}=9/4....equ 1
then calculate equ 1 ..we get x:y=7:2
so option 9 is correct answer

Like? Yes (4) | No (1)  

unnati gupta   8 years AGO

fraction of milk= 5/7 =65/91
fraction of water=8/13 =56/91
fraction of milk in mixture = 9/13 =63/91
using alligation,
proportion of a in the mixture =63/91- 56/91 =7/91
proportion of b in the mixture =65/91- 63/91 =2/91
ratio of a to b in the mixture =7:2

Like? Yes (2) | No   

swetha rangaraj   8 years AGO

water in A=5/17
water in B=8/13
5/17 8/13
9/13

(9/13 - 8/13) : (5/17 - 9/13)
1/13 : 2/91
1 : 2/7
ratio = 7:2

Like? Yes (4) | No (3)  

Anura Jain   8 years AGO

We can take ratio either of milk or water and can solve accordingly
Taking ratio of milk in A and B as 5/7 and 8/13 respectively and their mean as 9/13 in vessel C
Lastly by applying rules of alligations we will get our answer

Like? Yes (2) | No (1)  

v.sudha   8 years AGO

let C.P of milk =Re.1
A:milk =5/7
B:milk=8/13
mixture:milk=9/13
By the rule of alligation
5/7 8/13

9/13

1/13 2/91

required ratio =7:2

Like? Yes (2) | No (1)  

NIKHIL JAIN   8 years AGO

It can be solved using alligation and find that the answer is 7/2

Like? Yes (2) | No (3)  

ROHIT KUMAR DUBEY   8 years AGO

In a CP of 1 liter milk rs 5/7 and that of B=rs 8/13,mixture=rs9/13
by allegation
5/7 8/13
9/13
1/13 2/91
=7:2

Like? Yes (2) | No (3)  

mary   8 years AGO

let c.p of milk be Rs .1 per litre
milk in 1 litre mix of A =5/7 litre;
milk in 1litre mix of B =8/13 litre;
milk in 1litre mix of C =9/13 litre;
mean price =Rs 9/13
rule of alligation,
quantity of quantity of dearer)=(c.p of dearer)-(mean price)/(mean price)-(c.p of cheaper)
=(5/7)-(9/13)/(9/13)-(8/13)
=7:2

Like? Yes (1) | No (2)