Question

A coffee seller has two types of coffee brand a costing 5 bits per pound and brand b costing 3 bits per pound. he mixes two brands to get a 40 pound mixture. he sold this at 6 bits per pound. the seller gets a profit of 33 1/2 percent. how much he has used brand a in the mixture?

Answer 1

Answer:

so, 30 pound of Brand A is mixed

Exaplanation:

let x and y quantities of A and B respectively are mixed

x+y=40

y = 40 - x

his total selling price.....40*6=240

his cost price ..............180 approx(as he makes 33.5 % profit)

5x+3(40-x)=180

240-[5*x+(40-x)*3]=[5*x+(40-x)*3]*33 1/2%

=>240-(2x+120)=(2x+120)*(67/2)*(1/100)

=>24000-400x=134x+8040

=>x=(15960/534)

=>x=29.88

x near about 30

so, 30 pound of Brand A is mixed