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The number of bananas harvested in 2000 was the integer x. I [#permalink]
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08 Apr 2014, 20:00
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The number of bananas harvested in 2000 was the integer x. In 2001, the number of bananas harvested grew by 150% from the year 2000. In 2002, the number of bananas harvested grew by 400% from the year 2000. What was the percentage growth in the number of bananas harvested from the year 2001 to the year 2002? (A) 100% (B) 167% (C) 200% (D) 250% (E) 500%
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Re: The number of bananas harvested in 2000 was the integer x. I [#permalink]
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09 Apr 2014, 00:23
Hi ,
This is how i approached the solution :
Bananas harvested in 2001 = 1.5 X Bananas harvested in 2002 = 4X
Percentage growth = ((4X  1.5X)/1.5X) * 100 = 166.67% = 167% (B)
Hope this helps.



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Re: The number of bananas harvested in 2000 was the integer x. I [#permalink]
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09 Apr 2014, 18:29
Thats the second way I did it but how did you find it so accurately without using a calculator? So this is the way I did it. The least complicated way like yours but slightly different. Please let me know if this is wrong. 2000 = X 2001 = 1.5 x 2002 = 4x SO New value  Old value / old value = 4x  1.5x / 1.5x = 2.5x / 1.5x = 5/3 (in fraction form) reduced from 25/15 1/3 = 0.33333 so 5 * 0.3333 = 0.16665 * 100 = 166.65 = 167% or if you know 3/3 is a whole 100 % then 2/3 = .666666 continuous * 100 = 66.66 and added together 166.67 > 167%



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Re: The number of bananas harvested in 2000 was the integer x. I [#permalink]
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10 Apr 2014, 06:04
If bananas harvested in 2000 was X (100) then surely a 150% growth of X (100) would mean bananas harvested in 2001 of 2.5X (250)
Going from 1X to 1.5X would be equivalent of 50% growth (as opposed to 150)?
I think the answer is A



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Re: The number of bananas harvested in 2000 was the integer x. I [#permalink]
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10 Apr 2014, 07:07
jasdhanda wrote: Thats the second way I did it but how did you find it so accurately without using a calculator? So this is the way I did it. The least complicated way like yours but slightly different. Please let me know if this is wrong. 2000 = X 2001 = 1.5 x 2002 = 4x SO New value  Old value / old value = 4x  1.5x / 1.5x = 2.5x / 1.5x = 5/3 (in fraction form) reduced from 25/15 1/3 = 0.33333 so 5 * 0.3333 = 0.16665 * 100 = 166.65 = 167% or if you know 3/3 is a whole 100 % then 2/3 = .666666 continuous * 100 = 66.66 and added together 166.67 > 167% Hi , You were correct till this step : 4x  1.5x / 1.5x = 2.5x / 1.5x = 5/3 (in fraction form) reduced from 25/15 But then to find 5/3, you do not need to do 1/3 * 5 . Just simply do a long division of 5 by 3. You will get 1.66666..... Now to convert this decimal to percent, shift the decimal 2 places to the right and you get 166.66.. The closest option in the answers is 167%.



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Re: The number of bananas harvested in 2000 was the integer x. I [#permalink]
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10 Apr 2014, 07:12
phferr1984 wrote: If bananas harvested in 2000 was X (100) then surely a 150% growth of X (100) would mean bananas harvested in 2001 of 2.5X (250)
Going from 1X to 1.5X would be equivalent of 50% growth (as opposed to 150)?
I think the answer is A Hi, A growth of 150 % means 1.5 * X and not 2.5 * X. For e.g : Lets say the number of bananas in 2000 = 100 Then number of bananas in 2001 = 150 % of 100 ; which means add 50 % of 100 to itself = 100 + 50 = 150.



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Re: The number of bananas harvested in 2000 was the integer x. I [#permalink]
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10 Apr 2014, 08:59
[quote="saket2160"
Hi,
A growth of 150 % means 1.5 * X and not 2.5 * X.
For e.g : Lets say the number of bananas in 2000 = 100 Then number of bananas in 2001 = 150 % of 100 ; which means add 50 % of 100 to itself = 100 + 50 = 150.[/quote]
So if there were 100 bananas harvested in 2001 and the harvest grew BY 50%  how many bananas would be harvested? How can 50% growth be the same as 150% growth?
If I have a stock portfolio (100) and it grew by 9% in one year  it would be worth 109 at the end of the year?
I'm struggling with this one...



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Re: The number of bananas harvested in 2000 was the integer x. I [#permalink]
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10 Apr 2014, 10:37
phferr1984 wrote: [quote="saket2160"
Hi,
A growth of 150 % means 1.5 * X and not 2.5 * X.
For e.g : Lets say the number of bananas in 2000 = 100 Then number of bananas in 2001 = 150 % of 100 ; which means add 50 % of 100 to itself = 100 + 50 = 150. So if there were 100 bananas harvested in 2001 and the harvest grew BY 50%  how many bananas would be harvested? How can 50% growth be the same as 150% growth? If I have a stock portfolio (100) and it grew by 9% in one year  it would be worth 109 at the end of the year? I'm struggling with this one...[/quote] The question says grew by 150%, i think it means x+1.5x = 2.5x if it would have said grew to 150% of the harvest in 2000, it meant 1.5x For 2001 harvest = x+1.5x = 2.5x For 2002 harvest = x+4x = 5x hence % growth from 2001 to 2002 = (5x2.5x)/2.5x = 100% Answer is A *press Kudos if you like the post



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Re: The number of bananas harvested in 2000 was the integer x. I [#permalink]
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10 Apr 2014, 18:54
I agree A. 2000: x 2001: 2.5x 2002: 5x (5x/2.5x)  1 = Y%/100 Y%=100
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Re: The number of bananas harvested in 2000 was the integer x. I [#permalink]
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11 Apr 2014, 03:29
jasdhanda wrote: The number of bananas harvested in 2000 was the integer x. In 2001, the number of bananas harvested grew by 150% from the year 2000. In 2002, the number of bananas harvested grew by 400% from the year 2000. What was the percentage growth in the number of bananas harvested from the year 2001 to the year 2002?
(A) 100% (B) 167% (C) 200% (D) 250% (E) 500% Year 2000 = x Year 2001 \(= x + \frac{150x}{100}= \frac{250x}{100}\) Year 2002 \(= x +\frac{400x}{100}= \frac{500x}{100}\) Percentage growth from the year 2001 to the year 2002 \(= \frac{\frac{500x}{100}  \frac{250x}{100}}{\frac{250x}{100}} * 100\) = 100 Answer = A = 100% Bunuel, can you kindly confirm the answer ?
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Re: The number of bananas harvested in 2000 was the integer x. I [#permalink]
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11 Apr 2014, 05:35
jasdhanda,phferr1984,
Apologies from my end. I made a mistake in considering the increase in the percentages as they were above 100%. Option A would be the correct answer.



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Re: The number of bananas harvested in 2000 was the integer x. I [#permalink]
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11 Apr 2014, 11:53
saket2160 wrote: jasdhanda,phferr1984,
Apologies from my end. I made a mistake in considering the increase in the percentages as they were above 100%. Option A would be the correct answer. After going through the thread it feels like the real confusion was that did the harvest increased by the given % or became equal to. I believe the question means increased by the given %. Hence, the answer is A 2001 = x+1.5X 2002 = x+4X so the % increase is 2.5x/2.5x *100 = 100%  Kudos if the answer helped



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Re: The number of bananas harvested in 2000 was the integer x. I [#permalink]
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11 Apr 2014, 22:19
We get x, 2.5x, 5x. So, 5x/2.5x=2 times means 100%



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Re: The number of bananas harvested in 2000 was the integer x. I [#permalink]
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11 Apr 2014, 22:22
We get x, 2.5x, 5x. So, 5x/2.5x=2 times means 100%. Picking gives 100, 250, 500, and 500/250=2 times (100%)



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Percent change [#permalink]
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09 Jun 2016, 10:46
The number of bananas harvested in 2000 was the integer x. In 2001 the number of bananas harvested grew by 150% from the year 2000. In 2002 the number of bananas harvested grew by 400% from the year 2000. What was the percentage growth in the number of bananas harvested from the year 2001 to the year 2002?
a) 100% b) 167% c) 200% d) 250% e) 500%



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Re: The number of bananas harvested in 2000 was the integer x. I [#permalink]
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09 Jun 2016, 10:51



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Re: The number of bananas harvested in 2000 was the integer x. I [#permalink]
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09 Jun 2016, 11:00
jasdhanda wrote: The number of bananas harvested in 2000 was the integer x. In 2001, the number of bananas harvested grew by 150% from the year 2000. In 2002, the number of bananas harvested grew by 400% from the year 2000. What was the percentage growth in the number of bananas harvested from the year 2001 to the year 2002?
(A) 100% (B) 167% (C) 200% (D) 250% (E) 500% The question says the harvest grew by 150% and 400% in the years 2001 and 2002 respectively. So the harvest grew by 1.5x and 4x in the years 2001 and 2002. so the total harvest in the 3 years are: 2000  x 2001  x+1.5x=2.5x 2002  x+4x=5x So the harvest grew from 2.5x (in 2001) to 5x (in 2002), which is a 100% increment.



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Re: The number of bananas harvested in 2000 was the integer x. I [#permalink]
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09 Jun 2016, 11:02
sabrina3509 wrote: The number of bananas harvested in 2000 was the integer x. In 2001 the number of bananas harvested grew by 150% from the year 2000. In 2002 the number of bananas harvested grew by 400% from the year 2000. What was the percentage growth in the number of bananas harvested from the year 2001 to the year 2002?
a) 100% b) 167% c) 200% d) 250% e) 500% Year  Bananas 2000  x 2001  x + 1.5x = 2.5x 2002  x + 4x = 5x Percentage growth from 2001 to 2002 = (5  2.5) / 2.5*100 = 100% Correct Option: A



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Re: The number of bananas harvested in 2000 was the integer x. I [#permalink]
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