A dealer marks his goods 25% above cost price. He then allows some discount on it and makes a profit of 9%.?

Question:conti..The rate of discount is ?
choice..
a)11.4%
b)12.8%
c)13.4%
d)14.2%
e)15.1%



Answers:
what's he dealing?
I think we should just pretend the goods cost 100$.

You know the dealer marked up his goods 25% above cost price, so we find x, where x is the dollars 25% above cost which can be written as 125% of the original cost.

x$ / 100$ = 125% / 100%
x = 125$

Now it says he makes a discount and make a profit of 9%.

We know the original cost was 100$ (we just assumed), so that means the profit would have to be 9% above the original cost otherwise noted as 109% of the original cost.

x$ / 100$ = 109% / 100%
x = 109$

So now we know the discounted price, which is 109$.

To find the discount rate, you would first find the difference between the mark up price and the discounted price, so 125-109 = 16$

Then, divide the difference (16$) by the mark up price (125$), thus the discount rate is 16$ / 125$ = .128

In percentage form .128 x 100% = 12.8%, B
LET THE COST PRICE=100

GOODS ARE MARKED AT 125

HE MAKES A PROFIT OF 9%,

SO SALE PRICE=109

SO DISCOUNT=125-109=16

RATE OF DISCOUNT=16/125*100=12.8%

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