Ratio and Proportion Practice Test 4

Question : 31 of 40

Marks: +1, -0

A vessel contains liquids P and Q in the ratio 5 : 3. If 6 litres of the mixture are removed and the same quantity of liquid q is added, the ratio becomes 3 : 5. What quantity does the vessel hold?

40 litres
50 litres
30 litres
None of these

Validate

Solution:

Let the vessel contains 5x litres and 3x litres of liquid P and Q respectively. The removed quantity contains

16/{5+ 3}×5

= 10 litres of P
and 16 – 10 = 6 litres of Q.
Now, (5x – 10) : (3x – 6 + 16) = 3 : 5

⇒{5x-10}/{3x+10}=3/5

⇒ 25x - 50 = 9x + 30

⇒ 16x = 80 ⇒ x = 5

∴ Vessel contains 8x = 8 × 5 = 40 litres.

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