Tires of a certain brand, when purchased new, last for four

Question

Tires of a certain brand, when purchased new, last for four years. A customer can choose to purchase the new tires at a cost of $180 per tire or can have his current tires repaired at a cost of $40 per tire, a repair that will make the current tires last for one additional year. The average cost per year of the new tires is what percent greater than the cost of repairing the current tires?

A. 8%
B. 10%
C. 12.5%
D. 16.7%
E. 25%

A. 8%
B. 10%
C. 12.5%
D. 16.7%
E. 25%

BDSunDevil · Answer

Average cost of new tire = $45/tire
cost of repairing the current tire = $40/tire
new tire is $5 more per tire.
i e. 5/40=1/8=12.5%=C

Bunuel · Answer

General formula for percent increase or decrease, (percent change):  percent=\frac{Change}{Original}*100 .

The average cost of a new tire is 180/4=$45;
The cost of repairing the current tire is $40;

So, the average cost of a new tire is  \frac{45-40}{40}*100=12.5%  greater than the cost of repairing the current tire.

Answer: C.

nishantmehra01 · Answer

Hi,

I am little confused here.. I know I am wrong, but just want to discuss..

Average Cost of New Tire = (180 + 0 + 0 + 0)/4 = 45

Average Cost of Old Tire = (40 + 0 + 40 + 0)/4 = 20. Since repaired tire would continue for one more additional year and then by the given information, it should be repaired again. No where in this question is mentioned that tire would be repaired just once.

Pls clarify

Bunuel · Answer

We re asked to compare the average cost per year of the new tire (which is $45) and the cost of repairing the current tire (which is given to be $40).

P.S. When you pay $40 to repair a tire it lasts for that year only, not for two years as you counted.

nishantmehra01 · Answer

Thanks, I did not read the question properly.

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Tires of a certain brand, when purchased new, last for four

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Tires of a certain brand, when purchased new, last for four

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