Question

Kamya, Prisha and Tisha started a business by investing Rs X, Rs (X+400) and Rs (X-200). If after the end of year, total share of profit of Kamya and Tisha is Rs 8100 out of a total profit of Rs 13,500, find the profit share of Prisha.

Answer 1

Ratio of investment of Kamya : Prisha : Tisha is,

$\Rightarrow X:(X+400):(X-200)$

Total profit earned is $13500$ Rs.

Thus as per given condition,

$\Rightarrow \frac{X+X-200}{X+X+400+X-200}\times 13500=8100$

$\Rightarrow \frac{2X-200}{3X+200}\times 13500=8100$

$\Rightarrow \frac{2X-200}{3X+200}\times 5=3$

$\Rightarrow 10X-1000=9X+600$

$\Rightarrow X=1600$ Rs.

So ratio of profit share is,

$\Rightarrow 1600:2000:1400$

$\Rightarrow 8:10:7$

So profit share of Prisha is,

$\Rightarrow \frac{10}{25}\times 13500$

$\Rightarrow 5400$ Rs.

Thus, profit share of Prisha is $5400$ Rs.