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Picking Numbers


Giselle79

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During a sale, a store sells 20 percent of its remaining stock each day, without replenishment. After 4 days, what fraction of its original stock has it sold?

 

A- 1/625

B- 256/625

C- 61/125

D- 64/125

E- 369/625

 

How is it E correct answer: please explain in a simple way.

thanks

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  • 4 months later...

Hi Giselle,

 

Since your post is titled "picking numbers", I'll use that approach:

 

Let's say that the store starts with 10,000 items.

 

Day 1: sell .20(1000) = 2000, 8000 left over

 

Day 2: sell .2(800) = 1600, 6400 left over

 

Day 3: sell .2(640) = 1280, 5120 left over

 

Day 4: sell .2(512) = 1024, 4096 left over

 

 

Ok, so this means out of the original 10,000, there are only 4096 left. So 10,000 - 4096 = 5904 were sold during the 4 days.

 

The fraction of the total = 5904/10000, which can be reduced to 369/625.

 

Hope that helps!

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  • 4 weeks later...

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