A, B and C are partners. A whose money has been in the business for 4 months claims 13 the profits; 'B' whose money has been in the business for 6 months claims of the profits. 'C' had Tk. 1,560 in the business for 8 months, how much money did A and B contribute to the business? (Partnership (অংশীদারী কারবার))

Shohan

4 views

2025-01-04 04:42

1 Answers

Shohan

C will get as profit = $1 - (\frac{3 + 8}{24}) = 1 - \frac{11}{24} = \frac{24 - 11}{24} = \frac{13}{24}$ Part

A, B & C investment ratio $\frac{1}{8} : \frac{1}{3} : \frac{13}{24} = 3 : 8 : 13$ [Multiplying by 24]
Now, we know A, B and C's profits will be distributed according to their investment Now, let, A's investment is x Tk. & B's investment is y Tk.
and C's investment is 1,560 Tk.

According to question,

$\frac{x \times 4}{1560 \times 8} = \frac{3}{13} x = \frac{3 \times 1560 \times 8}{13 \times 4} = 720 a g a i n, \frac{y \times 6}{x \times 4} = \frac{8}{3} \Rightarrow \frac{y \times 6}{720 \times 4} = \frac{8}{3} y = \frac{8 \times 720 \times 4}{6 \times 3} = 1280$

A and B invested respectively 720 Tk. and 1,280 Tk. respectively.

4 views Answered 2024-12-14 13:31

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