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Answer:
Given :-
A and B invested some amount in a buisness in the ratio of 2 : 3. There is a profit of Rs 6000.
To Find :-
How much Rs B will gain.
Solution :-
Let,
\longmapsto⟼ A invested be Rs 2x
\longmapsto⟼ B invested be Rs 3x
According to the question :
\implies \sf 2x + 3x =\: 6000⟹2x+3x=6000
\implies \sf 5x =\: 6000⟹5x=6000
\implies \sf x =\: \dfrac{\cancel{6000}}{\cancel{5}}⟹x=
5
6000
\implies \sf\bold{\purple{x =\: Rs\: 1200}}⟹x=Rs1200
Hence, the required amount invested by A and B are :
➲ Money invested by A :
↦ \sf Rs\: 2xRs2x
↦ \sf Rs\: 2(1200)Rs2(1200)
↦ \sf Rs\: 2 \times 1200Rs2×1200
➠ \sf\bold{\red{Rs\: 2400}}Rs2400
And,
➲ Money invested by B :
↦ \sf Rs\: 3xRs3x
↦ \sf Rs\: 3(1200)Rs3(1200)
↦ \sf Rs\: 3 \times 1200Rs3×1200
➠ \sf\bold{\red{Rs\: 3600}}Rs3600
\therefore∴ Money gain by B is Rs 3600 .
Answer: