+0  
 
0
227
2
avatar

Paulo bought and then sold two bikes. He made a 30% profit on the sale of the first bike and a 50% profit of the second bike. If Paulo's total profit was 45%, what was the ratio of his cost for the first bike to his cost for the second bike?

Guest Jan 23, 2015

Best Answer 

 #2
avatar+81055 
+5

 

 

 

 

Call the cost of bike 1 = C1 ...  and call the cost of bike 2 = C2

And the profit on the sale of bike 1 was 30% more than what he paid for it = 1.3C1 ....and the profit he made on bike 2  was 50% more than what he paid for it = 1.5C2

The amount he received for both bikes [ 1.3C1 + 1.5C2] was 45% above what he paid for both of them ( C1 + C2)...so we have

1.3C1 + 1.5C2 = 1.45(C1 + C2)  simplify

1.3C1 + 1.5C2  = 1.45C1 + 1.45C2  rearrange

.05C2 = .15C1  →  C1/C2 = .05 / .15 = 1/3....so.. the first bike was 1/3rd the cost of the second bike....

 

CPhill  Jan 23, 2015
Sort: 

2+0 Answers

 #1
avatar+17711 
+5

Making even divisions:  30% - 35% - 40% - 45% - 50%

From 30% to 45% is three steps; from 50% to 45% is one step.

So, the 50% amount must be 3 times the 30% amount.

Check: let's say that the 30% profit was made on an item that cost $100.00 -->  profit = $30.00.

Then the 50$ profit was made on an itme that cost $100.00 x 3 = $300.00 --> profit = $150.00

Total cost ($100.00 + $300.00) = $400.00.

Total profit ($30.00 + $150.00) = $180.00

$180.00 / $400.00 =  0.45 = 45%

geno3141  Jan 23, 2015
 #2
avatar+81055 
+5
Best Answer

 

 

 

 

Call the cost of bike 1 = C1 ...  and call the cost of bike 2 = C2

And the profit on the sale of bike 1 was 30% more than what he paid for it = 1.3C1 ....and the profit he made on bike 2  was 50% more than what he paid for it = 1.5C2

The amount he received for both bikes [ 1.3C1 + 1.5C2] was 45% above what he paid for both of them ( C1 + C2)...so we have

1.3C1 + 1.5C2 = 1.45(C1 + C2)  simplify

1.3C1 + 1.5C2  = 1.45C1 + 1.45C2  rearrange

.05C2 = .15C1  →  C1/C2 = .05 / .15 = 1/3....so.. the first bike was 1/3rd the cost of the second bike....

 

CPhill  Jan 23, 2015

13 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details