Question

Preeti, Anu and Aarti entered into a business. Preeti invested Rs 2500 for some months, Anu invested Rs 3000 for 2 more months than Preeti and Aarti invested Rs 3500 for 3 months less than Anu. If Anu got Rs 8400, out of a total profit of Rs 19,000, then Aarti invested her money for how many months?

Answer 1

Let Preeti invested for $x$ months.

Thus ratio of investment of Preeti : Anu : Aarti is,

$\Rightarrow 25000\times x:3000\times (x+2):3500\times (x-1)$

$\Rightarrow 5x:6(x+2):7(x-1)$

Total profit earned is $19000$ Rs.

Thus,

$\Rightarrow \frac{6x+12}{5x+6x+12+7x-7}\times 19000=8400$

$\Rightarrow \frac{6x+12}{18x+5}\times 19000=8400$

$\Rightarrow \frac{6x+12}{18x+5}\times 95=42$

$\Rightarrow 570x+1140=756x+210$

$\Rightarrow 186x=930$

$\Rightarrow x=5$

So Aarti invested money for $4$ months