If A's income is 37.5% more than B, what percent is B less than A?

Question

If A's income is  37.5% more than B, what percent is B less than A?

amistre64 · Answer

A = B(1.375) seems to match the first part

anonymous · Answer

Why it's B(1.375) ?

amistre64 · Answer

A is all of B, plus a part of B

A = B + B(%)
   =B(1+%)

anonymous · Answer

The answer is : $$ \frac {37.5}{137.5} 	imes 100$$

anonymous · Answer

@amistre64:Now as I have solved it you could try my question : http://openstudy.com/updates/4ee62ad6e4b023040d4b8104 ;);)

anonymous · Answer

Why (37.5/137.5)*100 ?

anonymous · Answer

@abdul shabeer: That's for you think .. it's not really hard to proof though ;)

amistre64 · Answer

A - B is the difference between them

B(1.375) - B = B(1.375 - 1) = B(.375)

diff/totalA = 1% of A; so *100 for total % of A

$$\frac{B(.375)}{B(1.375)}*100 = A\%$$

$$\frac{.375}{1.375}*100 = A\%$$
$$\frac{37.5}{1.375} = A\%$$

anonymous · Answer

You can take A's income as 100 and then .. do this in elementary ways ..