A rectangular park which is 20 feet long and 24 feet wide is to be fil

Question

Competition Mode Question

A rectangular park which is 20 feet long and 24 feet wide is to be filled with sand so that the floor of the rectangular park rises by 2 feet. If 1200 cubic feet of sand is available for this purpose, by what percentage is it greater than the actual sand which is required?

A. 50%
B. 40%
C. 25%
D. 20%
E. 10%

\(\frac{1200}{20*24*2} =\frac{5 }{4} = 1.25\)
25%

Answer C.

A. 50%
B. 40%
C. 25%
D. 20%
E. 10%

GMATinsight · Answer

L = 20, B = 24, H (to be increased) = 2

Volume of Sand Needed = L*B*H = 20*24*2 = 960 Cubic feet

Question : 1200 is what percentage greater than 960

i.e. Required output = (1200-960)*100/960 = 25%

ANswer: Option C

Leadership · Answer

Given: Volume of sand available -  1200 f^3  ..  L=20, B=24, H=2

Volume required to fill 2 feet -  20*24*2 = 960 f^3   (L*B*H)

Extra: Sand available - Sand required ..  1200-960 = 240

So, the percentage of extra:  \frac{Extra*100 }{ Required}  ...  \frac{240 * 100 }{ 960}= 25 %

'C' is the Winner

Archit3110 · Answer

total area; 20*24*2 ; 960
available 1200 ; 
∆
1200-960 /1200 = 20%
IMO D

A rectangular park which is 20 feet long and 24 feet wide is to be filled with sand so that the floor of the rectangular park rises by 2 feet. If 1200 cubic feet of sand is available for this purpose, by what percentage is it greater than the actual sand which is required?

A. 50%
B. 40%
C. 25%
D. 20%
E. 10%

\(\frac{1200}{20*24*2} =\frac{5 }{4} = 1.25\)
25%

Answer C.

A. 50%
B. 40%
C. 25%
D. 20%
E. 10%

CareerGeek · Answer

For 1200 cubic feet volume, height " h " that can be filled is 
-->  20*24*h = 1200 
-->  h = 2.5  feet

Actual raised = 2

% more available =  \frac{2.5 - 2}{2}*100 = 0.5*50 = 25

Option C

exc4libur · Answer

initial volume: 20*24*1=480ft^3
final volume: 20*24*2=960ft^3
available sand / actual required sand: 1200/960-1=25%

Ans (C)

madgmat2019 · Answer

from given .... 20*24*2 = 960 cubic feet.......
required = 1200......%increase = 240/960 = 25%

OA:C

eakabuah · Answer

Volume of sand required = 20*24*2 = 960cu. ft
Volume of sand available = 1200cu. ft
Excess sand = 1200-960 = 240cu. ft
Percentage of excess sand = 240/960 * 100%= 25%.

The answer is C.

unraveled · Answer

A rectangular park which is 20 feet long and 24 feet wide is to be filled with sand so that the floor of the rectangular park rises by 2 feet. If 1200 cubic feet of sand is available for this purpose, by what percentage is it greater than the actual sand which is required?

A. 50%
B. 40%
C. 25%
D. 20%
E. 10%

\(\frac{1200}{20*24*2} =\frac{5 }{4} = 1.25\)
25%

Answer C.

A. 50%
B. 40%
C. 25%
D. 20%
E. 10%

\frac{1200}{20*24*2} =\frac{5 }{4} = 1.25 
25%

Answer C.

lacktutor · Answer

The actual sand (required) = 24*20*2= 960 cubic feet 
—> 1200 cubic feet availabel

960 —100%
1200 —x 
—>  x = \frac{1200*100}{960}= \frac{1000}{8}=125

125 —100 = 25% (greater than the actual sand which is required)

The answer is C.

Posted from my mobile device

joohwangie · Answer

A rectangular park which is 20 feet long and 24 feet wide is to be filled with sand so that the floor of the rectangular park rises by 2 feet. If 1200 cubic feet of sand is available for this purpose, by what percentage is it greater than the actual sand which is required?
100% = 20x24x2=960
1200=x/100 * 960 
125%
therefore 25% greater
A. 50%
B. 40%
C. 25%
D. 20%
E. 10%

C

freedom128 · Answer

Sands required = 20*24*2 = 960 ft^3.
% excess = (1200-960)/960 *100% = 25%

FINAL ANSWER IS (C)

Posted from my mobile device

amitahlawat06 · Answer

25% is the answer

required = 20*24*2 =960
available = 1200 extra = 240
x% extra = 24000/960 = 25%

ostrick5465 · Answer

\frac{1200}{20*24*2} * 100%   =125%

=> Choice C 25%

Jawad001 · Answer

After the floor of the rectangular park rises by 2 feet,
The length of park = 20 feet and 
The wide of the park = 24 feet.

Before the floor of the rectangular park rises by 2 feet, 
The length of park = 20-4 = 16 feet and 
The wide of the park = 24- 4 = 20 feet.

20 by 24 feet to be filled with 1200 cubic feet of sand
16 by 20 feet to be filled with 1200*16*20/20*24 =800 cubic feet of sand

Percentage increased by 400/800 = 50%(A)

ScottTargetTestPrep · Answer

The amount of sand needed is 20 x 24 x 2 = 960 cubic feet. So 1200 is the following percent greater than 960:

(1200 - 960)/960 x 100 = 25%

Answer: C

A rectangular park which is 20 feet long and 24 feet wide is to be fil

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A rectangular park which is 20 feet long and 24 feet wide is to be fil

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