SOLUTION: P sold his bicycle to Q at a profit of10%.Q sold it to R for 209$ at a loss of 5%.How much did the bicycle cost P?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: P sold his bicycle to Q at a profit of10%.Q sold it to R for 209$ at a loss of 5%.How much did the bicycle cost P?       Log On


   

Question 1124632: P sold his bicycle to Q at a profit of10%.Q sold it to R for 209$ at a loss of 5%.How much did the bicycle cost P?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
x, original price

Q spent 1.1x

R spent 209 dollars, a loss to Q of 5%.


%281.1x-209%29%2F%281.1x%29=0.05
1.1x-209=1.1%2A0.05x
1.1x-1.1%2A0.05x=209
1.045x=209
x=209%2F1.045
x=200