Question

Anil and Binod started a business by investing Rs.35,000 and Rs.13,000 respectively. At the end of every month, Anil withdraws certain amount from his investment and Binod invests the same amount as Anil has withdrawn. At the end of the year they share the profits in the ratio $1:1$ . Find the amount invested by Binod every month___

Answer 1

Let x be the Amount that Anil withdraws and Binod invests at the end of every month.

Then, $35,000-11x=13,000.$

$11x=22,000\&x=2000.$

Alternatively:-

$\begin{array}{cccccc}& 1^{st}Year& 2^{nd}Year& 3^{rd}Year& \text{.............}& {12}^{th}Year\\ \text{Anil}& 35,000& (35,000-x)& (35,000-2x)& \text{.............}& (35,000-11x)\\ \text{Binod}& 13,000& (13,000-x)& (13,000-2x)& \text{.............}& (13,000-11x)\end{array}$

$35,000\times 12-66x=13,000\times 12+66x$
$22,000\times 12=132x$
x = 2000.