Question

Tarun sells sells pen in 3 groups red, blue and green 24% are red, the ratio of blue to red pen is 5:3, if the difference between blue and green pens is 792. What are the total no. of pens?

Answer 1

Answer :

Let , Total number of pens = x

And given 24% are red , So

Total number of red pens = 24% of x = $\frac{24x}{100}=\frac{\mathbf{6}\mathbf{x}}{\mathbf{25}}$

Also given : The ratio of blue to red pen is 5 : 3

Let ratio coefficient = y , So

Total number of Blue pens = 5y and Total number of red pens = 3y , So we get

3y = $\frac{6x}{25}$

y = $\frac{2x}{25}$

Then

Total number of Blue pens = 5 ( $\frac{2x}{25}$ ) = $\frac{2x}{5}$

And

Total number of green pens = x - $\frac{2x}{5}$ - $\frac{6x}{25}$ = $\frac{25x-10x-6x}{25}=\frac{9x}{25}$

Also given : The difference between blue and green pens is 792 , We get

$$\begin{gathered} \frac{2x}{5}-\frac{9x}{25}=792 \\ \Rightarrow \frac{10x-9x}{25}=792 \\ \Rightarrow \frac{x}{25}=792 \\ \Rightarrow x=25\times 792 \\ \Rightarrow \mathit{x}\mathbf{}\mathbf{=}\mathbf{}\mathbf{}\mathbf{19800} \end{gathered}$$

So,

Total number of pens = 19800 ( Ans )