Question

If A , B. and C put in capital in the ratio
2:3:4 respectively, then how much profit
would A and B get if the total profit is *
9000?
Choose one or more Options
a. A gets 2000
b. A gets 3000
C. B gets 2000
d. B gets 3000​

Answer 1

Answer:

A gets 2000

B gets 3000

Step-by-step explanation:

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Answer 2

Given: If A , B. and C put in capital in the ratio

2:3:4 respectively, and the total profit is 9000

To Find: then how much profit would A and B get ?

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❒ Let the shares of A , B and C be 2x, 3x and 4x respectively

${ \underline{ \bf{ \bigstar \: According \: to \: the \: question : }}}$

• Theirs capitals (investments) are in the ratio 2 : 3 : 4 so, the profit shared by them will also be in the ratio 2 : 3 : 4

${ \underline{ \frak{As \: we \: know \: that \: \dag}}}$

• The total profit earned is Rupees 9000 and their share is in the ratio 2x : 3x : 4x so, their sum will add up to Rupees 9000

${ \underline{ \bf{ \bigstar \: Framing \: an \: equation \: we \: get : }}}$

${ : \implies} \sf \: 2x + 3x + 4x = 9000 \\ \\ \\ { : \implies} \sf 5x + 4x = 9000 \\ \\ \\ { : \implies} \sf 9x = 9000 \: \: \: \: \\ \\ \\ { : \implies} \sf x = \cancel \frac{9000}{9} \\ \\ \\ { \dashrightarrow} \sf { \purple{ \boxed{ \pmb{ \frak{x = 1000}}} \bigstar}}$

Hence,

⠀⠀⠀⠀⠀⠀☆ A' share = 2x = 2(1000) = Rs.2,000

⠀⠀⠀⠀⠀⠀☆ B' Share = 3x = 3(1000) = Rs.3,000

${\underline {\rm{\therefore The\: share's \: of\: A \: and \: B \: are \: 2,000\: and 3,000 \: Respectively}}}$

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