Question

Reema invested Rs $24000$ for $x$ months, Sheena invested Rs $20000$ for $3$ months more than Reema and Tina invested Rs $16000$ for $3$ months more than Sheena. If difference between the shares of Tina and Reema is Rs $4200$ out of a total profit of Rs $34,200$. Find $x$.

Answer 1

Ratio of shares of profit of Reema : Sheena : Tina

$\Rightarrow 24000\times x:20000\times (x+3):16000\times (x+6)$

$\Rightarrow 6x:5x+15:4x+24$

It is given difference between shares of Tina and Reema is $4200$ :

$\Rightarrow \frac{4x+24-6x}{6x+5x+15+4x+24}\times 34200=4200$

$\Rightarrow \frac{24-2x}{15x+39}\times 34200=4200$

$\Rightarrow 8208-684x=630x+1638$

$\Rightarrow 6570=1314x$

$\Rightarrow x=5$