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Standard Baking Company produced 13,680 donuts in 1996. In 1997, that

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Bunuel
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Standard Baking Company produced 13,680 donuts in 1996. In 1997, that [#permalink] New post   01 Jul 2017, 00:18
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Standard Baking Company produced 13,680 donuts in 1996. In 1997, that number increased by 37.5%. In 1998, that number was 88.8(8)% of the number produced in 1997. In 1999, the number was 10% less than in 1998. How many donuts did Standard Baking Company make it 1999?

A. 1881
B. 2131
C. 15048
D. 15236
E. 16074
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C
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pushpitkc
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Re: Standard Baking Company produced 13,680 donuts in 1996. In 1997, that [#permalink] New post   01 Jul 2017, 01:39
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Assume a number for the number of donuts produced in 1996 to make calculations easier.
If that number were 200.

In 1997, there will be an increase of 37.5%, making the total number of donuts produced 275.
In 1998, there will be an decrease of approximately 11.1%, making the number of donuts around 244.2.
In 1999, again since there is a decrease of 10%, the number of donuts is around 220.
So, essentially, there is a 10% increase in the donuts from initial number of 200(in 1996) to 220 in 1999.

Coming back to the problem, it has been given that the donuts produced in 1996 is 13680.
So the number of donuts that are produced in 1999 : 13680+1368(10%) = 15048(Option C)
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Re: Standard Baking Company produced 13,680 donuts in 1996. In 1997, that [#permalink] New post   01 Jul 2017, 00:39
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Bunuel wrote:
Standard Baking Company produced 13,680 donuts in 1996. In 1997, that number increased by 37.5%. In 1998, that number was 88.8(8)% of the number produced in 1997. In 1999, the number was 10% less than in 1998. How many donuts did Standard Baking Company make it 1999?

A. 1881
B. 2131
C. 15048
D. 15236
E. 16074


1996 - 13680 (assume x)
1997 - (11/8)*x (37.5 is 3/8)
1998 - (11/8)*(88/99) (Recurring to fraction conversion)
1999 - (11/8)*(88/99)*(90/100) (90/100 is 10% less than )
On solving you get (11/10)*x

(11/10)*13680 = 13680+1368 = 15048 (Only one answer ended with 8 so not necessary to solve complete)

C
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Re: Standard Baking Company produced 13,680 donuts in 1996. In 1997, that [#permalink] New post   01 Jul 2017, 01:40
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Assume a number for the number of donuts produced in 1996 to make calculations easier.
If that number were 200.

In 1997, there will be an increase of 37.5%, making the total number of donuts produced 275.
In 1998, there will be an decrease of approximately 11.1%, making the number of donuts around 244.2.
In 1999, again since there is a decrease of 10%, the number of donuts is around 220.
So, essentially, there is a 10% increase in the donuts from initial number of 200(in 1996) to 220 in 1999.

Coming back to the problem, it has been given that the donuts produced in 1996 is 13680.
So the number of donuts that are produced in 1999 : 13680+1368(10%) = 15048(Option C)
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Re: Standard Baking Company produced 13,680 donuts in 1996. In 1997, that [#permalink] New post   05 Nov 2017, 07:37
pushpitkc wrote:
Assume a number for the number of donuts produced in 1996 to make calculations easier.
If that number were 200.

In 1997, there will be an increase of 37.5%, making the total number of donuts produced 275.
In 1998, there will be an decrease of approximately 11.1%, making the number of donuts around 244.2.
In 1999, again since there is a decrease of 10%, the number of donuts is around 220.
So, essentially, there is a 10% increase in the donuts from initial number of 200(in 1996) to 220 in 1999.

Coming back to the problem, it has been given that the donuts produced in 1996 is 13680.
So the number of donuts that are produced in 1999 : 13680+1368(10%) = 15048(Option C)


Thank you for the technique , when I couldn't solve manually I ended up using the calculator. Even then, although I got option C my answer was different from what is given.
Thanks to Bunuel for such a good question.
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Re: Standard Baking Company produced 13,680 donuts in 1996. In 1997, that [#permalink] New post   23 Sep 2019, 04:22
Bunuel wrote:
Standard Baking Company produced 13,680 donuts in 1996. In 1997, that number increased by 37.5%. In 1998, that number was 88.8(8)% of the number produced in 1997. In 1999, the number was 10% less than in 1998. How many donuts did Standard Baking Company make it 1999?

A. 1881
B. 2131
C. 15048
D. 15236
E. 16074


[96]: 13680=x
[97]: x(11/8)
[98]: x(11/8)(8/9)
[99]: x(11/8)(8/9)(9/10)=x(11/10)=13680(10/10)+13680(1/10)=15048

Answer (C)
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Re: Standard Baking Company produced 13,680 donuts in 1996. In 1997, that [#permalink] New post   25 Jan 2024, 05:31
what is the meaning of 88.8(8)% = 88.8%????
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Re: Standard Baking Company produced 13,680 donuts in 1996. In 1997, that [#permalink] New post   25 Jan 2024, 09:08
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Edg_Tbr wrote:
what is the meaning of 88.8(8)% = 88.8%????


A number in parentheses after a decimal point indicates that the sequence of numbers enclosed repeats infinitely. For example, 2.7(25) represents 2.725252525... continuing indefinitely. Therefore, 88.8(8) signifies 88.88888888..., with the digit 8 repeating endlessly.
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Re: Standard Baking Company produced 13,680 donuts in 1996. In 1997, that [#permalink]
25 Jan 2024, 09:08
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