A, B and enter into partneship with investments in the ratio of 5 :7:8 If, at the end of the year As share of profit is Tk. 42360, how much is the total profit

A, B and enter into partneship with investments in the ratio of 5 :7:8 If, at the end of the year A's share of profit is Tk. 42360, how much is the total profit ?

A, B and enter into partneship with investments in the ratio of 5 :7:8 If, at the end of the year A's share of profit is Tk. 42360, how much is the total profit ? ?

Created: 1 year ago | Updated: 2 months ago | Created By:

Ahsanur Rahman

Tk. 169,440

Tk. 183,000

Tk. 196,700

Tk. 168,440

0 20

Institution: SONALI BANK LTD Exam: Sonali Bank Ltd - Assistant Engineer (IT) - 26.08.2016 ||
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To find the total profit from the partnership, we start by examining the investment ratio of A, B, and C, which is 5:7:8. This means for every 20 parts of profit (5 + 7 + 8), A gets 5 parts, B gets 7 parts, and C gets 8 parts.

We know A's share of the profit is Tk. 42,360. Since A's share corresponds to the 5 parts of the total 20 parts, we can set up the relationship as follows:

If A's share corresponds to 5 parts, then the value of one part can be calculated as:

\[
\text{Value of one part} = \frac{\text{A's share}}{5} = \frac{42360}{5} = 8472.
\]

Now, to find the total profit (representing all 20 parts), we multiply the value of one part by the total number of parts:

\[
\text{Total profit} = 20 \times \text{Value of one part} = 20 \times 8472 = 169440.
\]

Thus, the total profit from the partnership is **Tk. 169,440**, which matches option A. This detailed breakdown reveals the systematic approach to determining the total profit based on individual shares in a partnership setup.

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