If the ratio of milk and water in the final mixture is 9 2 then what is the value of Z ........

Quantitative Aptitude (SBI-PO) Mixture and Alligation

Direction: Study the following information and answer the following questions.
A dishonest milkman has X litre mixture of milk and water in the ratio 5 : 1 respectively. He sold mixture to three persons A, B and C in the same order. After selling milk to each person, he added certain amount of milk or water or both in the remaining mixture. The difference between milk and water with the milkman just before selling it to person C is 250 L.
The table given below shows how the exchange took place.

If the ratio of milk and water in the final mixture is 9 : 2, then what is the value of Z?

440 L

360 L

390 L

520 L

None of these

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Explanation:

Amount of mixture left after the milkman sold mixture to B = 350 litres
And ratio of milk to water in this mixture is 6 : 1
i.e., Milk = 300 litres and Water = 50 litres
Amount of mixture sold to C = 70 litres
So, amount of milk sold = 60 litres and amount of water sold = 10 litres
Now, 3r and r litres of milk and water were added.
And ratio of milk to water in final mixture = 9 : 2
So, (300 – 60 + 3r) = 9k
And (50 – 10 + r) = 2k
On solving, we get:
r = 40
Now, Z = 350 – 70 + 4r = 280 + 160 = 440 litres
Hence, option 1 is correct.