Math PS HELP!

[Immy]

Hey guys,
I have a couple math questions, if you dont mind helping me with.


A retailer sold an appliance for $80. If the retailers gross profit on the appliance was 25% of the retailers cost for the appliance, how many dollars was the retailers gross profit?
a) $10
b)$16
c)$20
d) $24
e)$25

Last year a certain bond with a face value of $5,000 yielded 8% of its face value in interest. If that interest was approximately 6.5% of the bonds selling price, apprx what was the bonds selling price?

(8^2)(3^3)(2^4)/ 96^2 =


thanks for all your help...

immy

[DanaJ]

Q1. What you need to do is turn those words into equations. The profit (PR) from the appliance was 25% or a quarter of the cost (C) for the appliance. You also know that:

C + PR = 80, since the cost plus the profit equals the selling price. Replace PR = 0.25C in this equation above to get:

C + 0.25C = 80

1.25C = 80

C = 64 => PR = 0.25*64 = 16.

Q2. The interest yielded was 8% of 5000 or 0.08*5000 = 400. This amount is in turn equal to 6.5% of the bond's price, meaning that x*6.5% = 400. This makes x = 400/6.5% = 400*100/6.5 = 6153.

Q3. The trick here is to go for the prime factorization of every element:
8^2 = (2^3)^2 = 2^6
This means that you'll have (2^6)*(3^3)*(2^4) = (2^10)*(3^3) for your numerator.

96^2 = [(2^5)*3]^2 = [(2^5)^2]*(3^2) = (2^10)*(3^2) - and this will be your denominator.

The fraction will be: (2^10)*(3^3)/(2^10)*(3^2) = 3.

[Immy]

hey thanks alot for responding so quickly...

much appreciated