Question

A and B are partners sharing profit in the ratio of 3 : 2. They admit C as a partner by giving him 1/3 share in future profits. The new ratio will be : (C.S. Foundation, Dec., 2012)​

Answer 1

Explanation:

$\sf\large\underline\purple{Given:-}$

$\displaystyle \sf \bigstar \: \: ratio \: of \: a \: and \: b \: = 3x \: : \: 2x$

$\displaystyle \sf \bigstar \: \: \: { \bold{they \: admit \: c \: as \: a \: partner \: by \: giving \: him \: \frac{1}{3} shares \: in \: future \: profits}}$

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$\sf\large\underline\purple{Given:-}$

$\sf\large\underline\purple{According\:\:to\:\:the\:\:Question:-}$

$\displaystyle \sf \bigstar \: c \: shares \: be \: \frac{5x}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \displaystyle \sf \bigstar \: \boxed{ \underline{ \boxed{ratio \: = 3x \: : \: 2x \: : \: \frac{5x}{2} }}} \\ \\ \\ \displaystyle \sf \bigstar \: after \: solving \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \displaystyle \sf \bigstar \: \boxed{ \underline{ \boxed{ ratio \: = 6 \: : 4 \: : 5}}} \: \: \: \: \: \: \: \: \: \: \:$

Answer 2

Answer:

and B are partners sharing profit in the ratio of 3 : 2. They admit C as a partner by giving him 1/3 share in future profits. The new ratio will be : (C.S. Foundation, Dec., 2012)

(A) 12 : 8 : 5

(B) 8: 12 : 5

(C) 5 : 5 : 12

(D) None of the Above