A mixture contains sugar solution and colored water in the ratio 7 : 9. If 13 liters of colored wate

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20 Aug 2019 Mixture

A mixture contains sugar solution and colored water in the ratio 7 : 9. If 13 liters of colored water is added to the mixture, the ratio becomes 4 : 7. Find the initial quantity of sugar solution in the given mixture (in liters).

OPtion

1) 22
2) 32
3) 24
4) 28
5) 36
6) 40
7) 48
8) 16
9) 14
10) None of these

Solution

The initial ratio is 7 : 9.
Let ‘k’ be the common ratio.
=> Initial quantity of sugar solution = 7 k
=> Initial quantity of colored water = 9 k
=> Final quantity of sugar solution = 7 k
=> Final quantity of colored water = 9 k + 13
Final ratio = 7 k : 9 k + 13 = 4 : 7
=> k = 4
Therefore, initial quantity of sugar solution in the given mixture (in liters) = 7 k = 28 liter

Correct Option: 4 Best Solution (5)

Vivek Choudhary   5 years AGO

sugar: color=7x:9x
so, 7x/9x+13=4/7
x= 4
sugar quantity=7x
=7*4=28

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G.S.Kantharao   5 years AGO

Sug:Water=7:9
Let Proportionality constant =x
Sugar=7x/16,water=9x/16
13lt water added
7x/16:(9x/16 +13)=4:7
7*7x/16=(36x+832)/16
49x=36x+832
13x=832=>x=64
Sugar =7*64/16=28lt
My option is 4👈

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SAYAN CHATTERJEE   5 years AGO

7x/16/(9x/16+13)= 4/7
x= 64
sugar content is 64*7/16= 28.
Option 4.

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VENKATESHBABU JN   5 years AGO

7x/9x+13=4/7
x=4
so 7x4=28

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Elizabeth Pothen   5 years AGO

Let quantity of sugar solution and coloured water be 7x and 9x
When 13 l of water is added,
7x/(9x+13)= 4/7
x = 4
So sugar solution = 7*4= 28 litres

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