Question

Mr. Adderley and Mr. Bain's profits are in the ratio 7:9. If the total profits were $49,500 this year, what is Mr. Bain's share?

A) $31,500.
B) $28,000.
C) $18,900.
D) $21,000.

Answer 1

By dividing the total profits of $49,500 according to the 7:9 ratio, Mr. Bain's share would be $27,843.75, but this does not match the provided options, suggesting a possible typo in the question.

Step-by-step explanation:

To determine Mr. Bain's share of the total profits, we need to divide the total profits in the ratio given, which is 7:9. The sum of the parts of the ratio is 7 + 9 = 16. To find the value of one part of the ratio, we divide the total profits ($49,500) by 16.

$49,500 ÷ 16 = $3,093.75 (this is the value of one part of the ratio).

Since Mr. Bain's profits are in the ratio of 9 parts, we multiply the value of one part by 9 to find Mr. Bain's share.

$3,093.75 × 9 = $27,843.75.

However, this amount does not match any of the options given. It appears there might be a rounding error or potential typo in the options. The closest option to our calculation is B) $28,000.