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Swlabr · #2 July 6th, 2009, 05:07 AM

Quote:

Originally Posted by erarkku

heyy people of maths help forum i'm facing troubles of my own solving this question

a manufacture makes hi-fi systems and sells it to the wholesaler for 15% + cost of making , the wholesaler then sells it to the retailer at price + 20%, then the retailer sells to ME at $1470 including 30% of it is profit for the retailer.

find the cost of making the hi-fi system whopss forgot to add that sorry.

The "trick" to these questions is make them into equations.

Let $x$ be the cost of making the system. So,

the wholesaler bought it for $y=x + (15$ % $\text{of } x) = x + 0.15x=1.15x$ ,

the retailer bought it for $z=1.20y$ ,

and you bought it for $1470=1.30z$ .

Now, substitute everything into the last equation. $1470=1.30z=1.30*(1.20y)= \ldots$ , and then you will have an equation that is only in terms of $x$ , which is what you wish to find. So, just solve for $x$ .