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Last year the price of Rice was $40 per kg and the price of Wheat was

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Bunuel
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Last year the price of Rice was $40 per kg and the price of Wheat was [#permalink] New post   02 Oct 2019, 21:08
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Competition Mode Question



Last year the price of Rice was $40 per kg and the price of Wheat was $25 per kg. This year the price of Rice is $41 per kg and the price of Wheat is $28.50 per kg. The percent increase in the price of Wheat was how many percentage greater than the percent increase in the value of Rice?

A. 2.5
B. 6.25
C. 10.32
D. 11.5
E. 12.55
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D
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D
eakabuah
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Re: Last year the price of Rice was $40 per kg and the price of Wheat was [#permalink] New post   02 Oct 2019, 21:23
Percentage increase in price of Rice = (41-40)/40 x 100%= 1/40 x 100%= 0.5/20 x 100% = 2.5%
Percentage increase in price of Wheat = (28.5-25)/25 x 100 = 3.5/25 x 100 = 14%
Difference in percentage increase in the price of Wheat and Rice = 14-2.5 = 11.5%

The Answer is therefore D
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Re: Last year the price of Rice was $40 per kg and the price of Wheat was [#permalink] New post   02 Oct 2019, 22:28
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Last year the price of Rice was $40 per kg and the price of Wheat was $25 per kg. This year the price of Rice is $41 per kg and the price of Wheat is $28.50 per kg. The percent increase in the price of Wheat was how many percentage greater than the percent increase in the value of Rice?

percent increase of wheat \(\frac{28.5-25}{25}*100\)=14%
percent increase of rice \(\frac{41-40}{40}*100\)=2.5%
14%-2.5%=11.5%

D
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Re: Last year the price of Rice was $40 per kg and the price of Wheat was [#permalink] New post   02 Oct 2019, 22:36
Price of Rice increased from $40 to $41
--> % Increase = \(\frac{(41 - 40)}{40}*100\) = \(\frac{1}{40}*100\) = 2.5 %

Price of Wheat increased from $25 to $28.50
--> % Increase = \(\frac{(28.50 - 25)}{25}*100\) = \(\frac{3.5}{25}*100\) = 14 %

Increase in Wheat percent over Rice percent = 14 - 2.5 = 11.5

IMO Option D
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Re: Last year the price of Rice was $40 per kg and the price of Wheat was [#permalink] New post   02 Oct 2019, 22:38
RICE :

FROM 40 to 41

1*100/40 = 2.5%


Wheat:

from 25 to 28.5

=3.5*100/25 = 14%

diff is 11.5%

OA:D
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Re: Last year the price of Rice was $40 per kg and the price of Wheat was [#permalink] New post   02 Oct 2019, 23:59
Increase in rice price/kg = $ 1
Increase in wheat price/kg = $ 3.5

Rice % change = 1/40*100 = 2.5 %
Wheat % change= 3.5/25*100= 14 %

So, the percent increase in the price of Wheat was 11.5 % greater than the percent increase in the value of Rice.

Hence, Ans. D.
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Re: Last year the price of Rice was $40 per kg and the price of Wheat was [#permalink] New post   03 Oct 2019, 02:41
Rice —40–> 41
Wheat —25–>28.5

Rice:
40–100%
41–x
—> x=41*100/40=102.5%
102.5%—100%=2.5% increase

Wheat:
25–100%
28.5–x
—> x=28.5*100/25= 114%
114%–100%=14%

14%—2.5%= 11.5%
The answer is D.

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Re: Last year the price of Rice was $40 per kg and the price of Wheat was [#permalink] New post   03 Oct 2019, 03:37
Product----Last year--- Present year---% change
Rice-------40---------41----------- 2.5%
Wheat------25---------28.5-------- 14%

% greater value ; 14-2.5 ; 11.5%
IMO D


Last year the price of Rice was $40 per kg and the price of Wheat was $25 per kg. This year the price of Rice is $41 per kg and the price of Wheat is $28.50 per kg. The percent increase in the price of Wheat was how many percentage greater than the percent increase in the value of Rice?

A. 2.5
B. 6.25
C. 10.32
D. 11.5
E. 12.55
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Re: Last year the price of Rice was $40 per kg and the price of Wheat was [#permalink] New post   03 Oct 2019, 05:20
Quote:
Last year the price of Rice was $40 per kg and the price of Wheat was $25 per kg. This year the price of Rice is $41 per kg and the price of Wheat is $28.50 per kg. The percent increase in the price of Wheat was how many percentage greater than the percent increase in the value of Rice?

A. 2.5
B. 6.25
C. 10.32
D. 11.5
E. 12.55


% Increase (Wheat - Rice) = ?
Wheat: 28.50/25-1… 3.5/25…35/250…7/50
Rice: 41/40-1… 1/40
% Increase (Wheat - Rice) = 7/50-1/40 = 280-50/2000 = 230/2000 = 11.5/100 = 11.5

Answer (D)
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Re: Last year the price of Rice was $40 per kg and the price of Wheat was [#permalink] New post   03 Oct 2019, 05:35
Last year the price of Rice was $40 per kg and the price of Wheat was $25 per kg. This year the price of Rice is $41 per kg and the price of Wheat is $28.50 per kg. The percent increase in the price of Wheat was how many percentage greater than the percent increase in the value of Rice?

A. 2.5
B. 6.25
C. 10.32
D. 11.5
E. 12.55

Simple question made tough by tricky language.

How many percentage greater is the percentage rise of Wheat price than percentage rise in rice.

Percentage rise of rice \(= \frac{(41 - 40)}{40} * 100 = 2.5%\)
Percentage rise of rice \(= \frac{(28.5 - 25)}{25} * 100 = 14%\)

Answer = 14 - 2.5 = 11.5

Answer D.
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Re: Last year the price of Rice was $40 per kg and the price of Wheat was [#permalink] New post   07 Oct 2019, 11:28
Expert Reply
Bunuel wrote:

Competition Mode Question



Last year the price of Rice was $40 per kg and the price of Wheat was $25 per kg. This year the price of Rice is $41 per kg and the price of Wheat is $28.50 per kg. The percent increase in the price of Wheat was how many percentage greater than the percent increase in the value of Rice?

A. 2.5
B. 6.25
C. 10.32
D. 11.5
E. 12.55


The percent increase in the price of wheat is:

(28.5 - 25)/25 x 100 = 14

The percent increase in the price of rice is:

(41 - 40)/40 x 100 = 2.5

Therefore, the percent increase in the price of wheat was 14 - 2.5 = 11.5 percentage points greater than the percent increase in the value of rice.

Answer: D
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Re: Last year the price of Rice was $40 per kg and the price of Wheat was [#permalink] New post   18 Feb 2023, 04:28
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Re: Last year the price of Rice was $40 per kg and the price of Wheat was [#permalink]
18 Feb 2023, 04:28
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