Question

by selling a television set for $260 a dealer finds he is making a profit of 30% of cost. at what price must he sell it to make a profit of 40% of cost?
A. $196
B. $254.80
C. $280
D. $282
E. $322

Answer 1

x+x(.3)=260
solve for x

Answer 2

then when you have x, use the same equation but put .4 in where .3 is and solve

Answer 3

do u divide 260 by .3 first?

Answer 4

no, add the x's first

Answer 5

i got 2x(.3)=260
now what do i have to do?

Answer 6

no, because it is x + .3x, you get 1.3x. then divide 260 by 1.3 which gives you 200.

Answer 7

but 200 is not in the choices

Answer 8

i know. you have to take 200 and fill it back into the original equation for x. but where we had .3, you now need .4

Answer 9

260=x+x(.4)

Answer 10

260=1.4x?

Answer 11

no, x= 200+200(.4)

Answer 12

you were close

Answer 13

oh

Answer 14

do you understand?

Answer 15

kinda

Answer 16

you have to work backwards to find the original price, 200, then go forward again using 40 percent instead of 30 percent

Answer 17

i got $280

Answer 18

great job