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Arthur Yardley

· started a discussion

· 1 Months ago

Solution (Question: 248562.0 )

Assume : 'X' Kg of type X is there. Since, 1 kg has 2 litre soda and 1 litre water, X Kg will have 2X litre soda and 1X litre water.
Similarly 'Y' Kg of type Y is there. 3Y litre soda and 2Y litre water.
In total,
2X+ 3Y litres of soda = 130
X+2Y litres of water =80
Y= 30 Kilograms of type Y mixture.

Question:
On an average, two litres of soda and one litre of water are needed to be mixed to make 1 Kg of Roohafza of type X, and 3 litres of soda and 2 litres of water are needed to be mixed to make 1 Kg of Roohafza of type Y. How many kilograms of type Y of Roohafza was manufactured if it is known that 130 litres of soda and 80 litres of water were used?
Options:
A) 20 Kg 
B) 30 Kg 
C) 15 Kg 
D) 40 Kg 
Solution:

Ans: (b) 

For type ‘X’,milk : water

1 Kg =  2    :    1

Let ‘A’ Kg of quantity will be made from 130 l of

Soda and 80 l water

For ‘X’,milk :  water

‘A’ Kg = 2A   :  A

Similarly, For ‘Y’, Let B Kg of quantity will be made

milk :  water

‘B’ Kg = 3B   :  2B

Totalmilk = 130 = 2A + 3B.... (i)

Water = 80 = A + 2B .... (ii)

After solving equation (i) and (ii)

A = 20 Kg, B = 30 Kg

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