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Math problem..please help me solve

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Math problem..please help me solve

by Vivian26 » Mon Oct 27, 2008 6:46 pm
I have a question I have been trying to solve and I have a problem..please help if you can.

A certain pair of used shoes can be repaired for $12.50 and will last for 1 year. A pair of the same kind of shoes can be purchased new for $28.00 and will last for 2 years. The average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes?

a.3%
b.5%
c.12%
d.15%
e.24%

If you know the how to solve it please explain!! Thank you so much!
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by stubbornp » Wed Oct 29, 2008 1:51 pm
For repaired shoes,price is 12.50 per year

For new shoes,price is 28.00 per two year

means 14.00 per year

so 14 is how much percent of 12.50

it is C 12%...hope it helps...
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by cramya » Wed Oct 29, 2008 6:46 pm
Another vote for 12%

Basically it boils down to 1.5 is what % of 12.5

Repair price = 12.5
New price 1.5

% increase = New-Old/Old * 100 = 14-12.5/12.5*100
=12%
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by vivek.kapoor83 » Wed Oct 29, 2008 10:26 pm
Same as Cramya...It shuld be 12%...
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by sudhir3127 » Wed Oct 29, 2008 11:25 pm
cramya wrote:Another vote for 12%

Basically it boils down to 1.5 is what % of 12.5

Repair price = 12.5
New price 1.5

% increase = New-Old/Old * 100 = 14-12.5/12.5*100
=12%
As ramya said ..its boils to 1.5 is what % of 12.5

one observation and learning from studying for CAT ( Indian entrance test) is percentages are very very easy 2 calculate and we have to just apply the basics..

Always think in terms of 1% . 10% and multiple .. it makes life very easy

1% of 12.5 = .125
10% = 1.25

thus 1.5 would be
1.25+ .125 + .125
10% +1% +1%
12%..

i kind off benefit a lot from using such strategy .. so thought it would be useful for all...

hope this helps...
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by logitech » Wed Oct 29, 2008 11:37 pm
When you read a question such as this, start taking notes as you move forward.

12.5 one year
28 two years so it is 14 one year

oh the question is what percent greater than the cost of repairing the used shoes?

14-12.5=1.5

is what percent of 12.5

most of the time these numbers are given with a purpose like

12.5 x 8 = 100 ( If you remember this, you will save some time)

so 1.5/12.5 = ?

simply multiply 1.5 with 8 and find 12.

Most of the GMAT takers will solve problem such as this, but whoever solves fast and RIGHT, will have a better hand when things get tougher to the end!
LGTCH
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