Rita and Meeta both are having lunch boxes of a cuboid shape. Length and breadth of Rita's lunch box are 10% more than that of Meeta's lunch box, but the depth of Rita's lunch box is 20% less than that of Meeta's lunch box. The ratio of the capacity of Rita's lunch box to that of Meeta's lunch box is :
A. 11 : 15
B. 15 : 11
C. 121 : 125
D. 125 : 121
Answer: Option C
Solution(By Examveda Team)
let l, b and h denote the length, breadth and depth of Meeta's lunch boxThen, length of Rita's lunch box :
$$ = 110\% {\text{ of }}l = \frac{{11l}}{{10}}$$
Breadth of Rita's lunch box :
$$ = 110\% {\text{ of }}b = \frac{{11b}}{{10}}$$
Depth of Rita's lunch box :
$$ = 80\% {\text{ of }}h = \frac{{4h}}{5}$$
∴ Ratio of the capacities of Rita's and Meeta's lunch boxes :
$$\eqalign{ & = \frac{{11l}}{{10}} \times \frac{{11b}}{{10}} \times \frac{{4h}}{5}:lbh \cr & = \frac{{121}}{{125}}:1 \cr & = 121:125 \cr} $$
Related Questions on Volume and Surface Area
A. 12$$\pi$$ cm3
B. 15$$\pi$$ cm3
C. 16$$\pi$$ cm3
D. 20$$\pi$$ cm3
In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
A. 75 cu. m
B. 750 cu. m
C. 7500 cu. m
D. 75000 cu. m
A. 84 meters
B. 90 meters
C. 168 meters
D. 336 meters
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