Question

Vanya and Tanya started a business by investing Rs 1750 and Rs 2100 respectively. 5 months later, Tanya withdrew her entire money and Sanya and Manya joined the business with investments of Rs 4000 and Rs 6500 respectively. If after a year difference in total shares of Sanya and Manya together and total shares of Vanya and Tanya together is Rs 6,720, find the total profit

Answer 1

Ratio of shares of Vanya : Tanya : Sanya : Manya is,

$\Rightarrow 1750\times 12:2100\times 5:4000\times 7:6500\times 7$

$\Rightarrow 25\times 12:30\times 5:400:650$

$\Rightarrow 6:3:8:13$

Let the total profit be $x$ Rs.

thus by given condition,

$\Rightarrow \frac{(8+13)-(6+3)}{6+3+8+13}\times x=6720$

$\Rightarrow \frac{12}{30}\times x=6720$

$\Rightarrow x=16,800$ Rs.

Total profit earned by Them is $16,800$ Rs.