Question

If Two tank P and Q , in which ratio of Milk and Water is 5:3 and 2:3 Respectively. In which ratio we should mix them to get a new mixture,So that ratio of Milk and Water is 1:1

a)5:4

b)4:5

c)2:3

d)3:2

Answer 1

$\bf{\fbox{\huge{Solution;-}}}$

$\mathsf{\tiny{Method \: of \: Solution \ratio - }}$

$\mathsf{\tiny{Let \: \: to \: \: be \: \: \: required \: \: Ratio \: 'x',}}$

$\mathsf{\tiny{Milk \: in \: litres \: mixture \: of \: A = 5x + 3x =) \: 8x}}$
$\mathsf{\tiny{Milk \: in \: 1 litres \: mixture \: of \: A = \frac{5x}{8x} =) \: \: \frac{5}{8} }}$

$\mathsf{\tiny{Milk \: in \: litres \: mixture \: of \: b= 2x + 3x =) \: 5x}}$
$\mathsf{\tiny{Milk \: in \: 1 litres \: mixture \: of \: b= \: \: \frac{2x}{5x} = } \frac{2}{5} }$

$\mathsf{\tiny{Milk \: in \: 1 \: \: litres \: mixture \: of \: c= \frac{x}{2x} = \frac{1}{2}}}$

$\tiny{ \mathsf{Here, \: Using \: \: \: Alligation \: \: Method \: \: System}}$

$\tiny{ \mathsf{Here, \: Let \: Required \: new \: Ratio \ratio( x \ratio \:y )}}$

$\implies{\tiny{ \mathsf{x \: \: \: \: \: \ratio \: \: \: \: \: \: \: \: \: y}}} \\ \\ \\ \\ \implies{\tiny{ \mathsf{ \frac{5}{8} \ratio \: \: \: \: \: \: \: \: \: \frac{2}{5}}}} \\ \\ \\ \implies{\tiny{ \mathsf{here \: mean \: ratio \: is \: \: 1 \ratio \: 2}}} \\ \\ \implies{\tiny{ \mathsf{subtracting \: (y \: ratio) \: from \: (mean \: \: ratio)}}} \\ \\ \\ \implies{\tiny{ \mathsf{ \frac{1}{2} - \frac{2}{5} = \frac{5 - 4}{10} \implies \frac{1}{10} }}}$

$\implies{\tiny{ \mathsf{subtracting \: (mean\: ratio) \: from \: (x \: ratio)}}} \\ \\ \\ \implies{\tiny{ \mathsf{ \frac{5}{8} - \frac{1}{2} = \frac{5 - 4}{8} \implies \frac{1}{8} }}}$

$\tiny{ \mathsf{Hence, \: \: \: Required \: Ratio \: is \: x:y}}$

$\tiny{ \mathsf{Substitute \: the \: Given \: value \: in \: Required \: Ratio}}$

$\tiny{ \mathsf{ \implies{ \: \: \: Required \: Ratio \: is \: x:y}}} \\ \\ \tiny{ \mathsf{ \implies{ \frac{1}{10} \ratio \: \frac{1}{8}}}}$



$\implies{ \fbox{ \mathsf{Required \: Ratio \: is \: 5:4}}}$

Answer 2

$\huge \boxed {\fcolorbox{red} {pink} {Hello \: Mate \:!!}}$

$<b><i >$

Answer in attachment

By see in attachment

$\huge \boxed {Required \: Ratio \: is \: 5:4}$

Hope it will help you

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