Question

In a partnership business, the capital that Arav invested is double the capital that Zoya invested. The ratio of their period of investment is $\frac{1}{2}:\frac{1}{3}$. The ratio of their profit is ______.

• A. 2 : 7
• B. 3 : 2
• C. 5 : 6
• D. 3 : 8

Answer 1

The correct option is B

3 : 2

(Arav's investment period) : (Zoya's investment period) = $\frac{1}{2}:\frac{1}{3}$ = 3 : 2

Let the multiplying factor of the ratio be z. Since, ratio of their investments is 3 : 2, Arav invested for 3z months and Zoya invested for 2z months.

Let capital of Zoya be y. Then, capital of Arav would be 2y

$\therefore$, Arav's profit : Zoya's profit = (3z) $\times$ (2y) : (2z) $\times$ (y)

$\Rightarrow$ 6zy : 4zy
$\Rightarrow$ 6 : 4
$\Rightarrow$ 3 : 2