# A jar contain a mixture of two liquids A and B in the ratio 4:1. When 10 litres of the mixture is taken out and 10 litres of liquid B is poured into the jar, the ratio becomes 2:3. How many litres of liquid A was contained in the jar? Option 1) Option 2) Option 3) Option 4) Option 5)

$4x, x$

$Total\: 5x$

$(9x-10)$

$4x-8/x-2+10 = 2/3$

$12x-24= 2x-16$

$10x=8$

$Or\: let \: A = 16 L$

$Then \: B = 4L$

$Total = 20 L$

$Now\: 10 L\: taken \: out = \frac{1}{2}\times 16$

$10 \: L \: remaining\: milk = 8 \: L \: taken$

$Water = 45/2 = 2L taken$

$Final = 8\: L\: milk$

$= 2L water$

$Now\: 10\: L \: added$

$8L, 12 L$

$So\: 8/12 = 2:3$

$A= 16$

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