Question

In a business, total profit is 7x + 510, of which James' profit share is 4 times the profit share of his family and friends each. Calculate the profit share of James.

• A. $\frac{7}{3}$x + 340
• B. $\frac{14}{3}$x + 340
• C. $\frac{7}{3}$x + 1020
• D. $\frac{14}{3}$x + 1020

Answer 1

The correct option is B $\frac{14}{3}$x + 340

Given:
Total profit = 7x + 510
Let family's profit share be y
Friends' share = y
James' share = 4y

Total profit = 4 y+ y + y = 6y

$⟹$ 6y = 7x + 510

$⟹$ y = $\frac{7}{6}$x + $\frac{510}{6}$

James profit share = 4y
= $4\times \frac{7}{6}$x + 4 × $\frac{510}{6}$
= $\frac{14}{3}$x + $\frac{1020}{3}$
= $\frac{14}{3}$x + 340