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Bicycle stock

Expert replies
by kanha81 » Fri May 29, 2009 12:03 pm
On June 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 4 for each of the past 5 months. If the stock continues to decrease at the same rate for the rest of the year, how many fewer bicycles will be in stock on September 1 than were in stock on January 1?

(A) 8
(B) 12
(C) 20
(D) 32
(E) 36

I was able to solve the problem, but took quite sometime, since started on the wrong foot! Wasted nearly 8 minutes!! :oops:

Here's how I solved: Jan-Sep = ?

Jun- 84
May- 88
Apr- 92
Mar- 96
Feb- 100
Jan-

Jul- 80
Aug- 76
Sep- 72

Jan-Sep= 104-72 = 32
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Source: — Problem Solving |

Re: Bicycle stock

by sureshbala » Fri May 29, 2009 12:55 pm
kanha81 wrote:On June 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 4 for each of the past 5 months. If the stock continues to decrease at the same rate for the rest of the year, how many fewer bicycles will be in stock on September 1 than were in stock on January 1?

(A) 8
(B) 12
(C) 20
(D) 32
(E) 36

I was able to solve the problem, but took quite sometime, since started on the wrong foot! Wasted nearly 8 minutes!! :oops:

Here's how I solved: Jan-Sep = ?

Jun- 84
May- 88
Apr- 92
Mar- 96
Feb- 100
Jan-

Jul- 80
Aug- 76
Sep- 72

Jan-Sep= 104-72 = 32
It is given that the stock reduces by 4 per month

From Jan 1 to Sept 1, since there are 8 months the decrease in the stock in these 8 months is 8 x 4 =32

Hence the difference in the stock is 32
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