Latest TCS Aptitude Question SOLUTION: Arun makes a popular brand of ice-cream in a rectangular shaped bar 6 cm long, 5 cm wide and 2 cm thick. To cut costs, the company had decided to reduce the volume of the bar by 19

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Arun makes a popular brand of ice-cream in a rectangular shaped bar 6 cm long, 5 cm wide and 2 cm thick. To cut costs, the company had decided to reduce the volume of the bar by 19%. The thickness will remain the same, but the length and width will be decreased by the same percentage. The new width will be

Asked In TCS dipali (10 years ago)

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Read Solution (8) :

Avinash MK  (10 years ago)

volume v=l*b*t
new volume is 81% of old v.
therefore new vol = 81%(v)=l'*b'*t
=> 81% (l*b*t) = l'*b'*t
=> 81% (l*b) = l' * b'
since the change in new l and b is the same. hence consider change to be x.
=> 81% (l*b) = xl*xb
81%=x^2
x=9%.
9% change in 5cm width is 0.45
therefore new width is 5-0.45=4.55cm

Is this solution Helpfull? Yes (33) | No (4)  

shekhar gupta  (10 years ago)

let d width decrease by 10% and length by 10% too..
den total volume degradation will be as thickness is same..
-10 -10 +10*10/100=-19%
thus new width will be 0.9*5 = 4.5cm

Is this solution Helpfull? Yes (11) | No (4)  

Rahul Barnwal  (10 years ago)

since volume decrease by 19%
so,new vol=60-(60*19)/100=48.6
let length decrease by x%
so,now(6-6x/100)*(5-5x/100)*2=48.6
solving this we get two values of x i.e. x=190,10
so,190 can not be solution so reduired is 10%.
so,new width is 5-5*10/100=4.5.
4.5 is the new width.

Is this solution Helpfull? Yes (10) | No (1)  

TCS 2014  (10 years ago)

4.05 cm is the ans

Is this solution Helpfull? Yes (7) | No (5)  

sangeetha  (9 years ago)

Volume =l×b×h = 6×5×2 = 60 cm3
Now volume is reduced by 19%.
Therefore, new volume = (100−19)100×60=48.6
Now, thickness remains same and let length and breadth be reduced to x%
so, new volume: (x100×6)(x100×5)2=48.6
Solving we get x =90
thus length and width is reduced by 10%
New width = 5-(10% of 5)=4.5

Is this solution Helpfull? Yes (6) | No (1)  

mehak jindal  (10 years ago)

v=60
new vol=48.6
48.6=l*b*w=x^2*2
x^2=24.3
x=4.92

Is this solution Helpfull? Yes (5) | No (23)  

GEETHA MALLICK  (8 years ago)

but answer is 8.1cm

Is this solution Helpfull? Yes | No (1)  

rahul kumar  (5 years ago)

initial volume =5*4*3=60
now let w and l is decreased by x% where thickness remains same(2cm)
then
2 * (100-x)%of w * (100-x)%of l=81% of 60
2*(100-x)^2/100 *5*6=(81/100)*60
x=91%
hence
new width is 91%of 5
= 4.55

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