Ratio and Proportion Practice Test 5

Question : 12 of 25

Marks: +1, -0

A bucket contains a mixture of two liquids P and Q in the proportion 7 : 5. If 9 litres of the mixtureis replaced by 9 litres of liquid Q, then the ratio of the two liquid becomes 7 : 9. How much of theliquid P was there in the bucket?

11 litres
21 litres
31 litres
None of these

Validate

Solution:

Let the two liquids P and Q are 7x litres and 5x litres repectively.
Now, when 9 litres of mixture are taken out,
P remains

7x-9(7/{7+5})=(7x-21/4)\litres

and Q remains

5x-9(5/{7+5})=(5x-15/4)\litres

Now, when 9 litres of liquid Q are added,

(7x-21/4):(5x-15/4+9)=7:9

⇒(7x-21/4)/(5x-15/4+9)=7/9

⇒63x-189/4=35x+147/4

x=21\litres

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