A, B and C are partners. A whose money has been in the business for 4 months claims $\frac{1}{3}$ 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))

Created: 1 year ago | Updated: 1 year ago

Updated: 1 year ago

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,

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