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 :
Options:
A .  11 : 15
B .  15 : 11
C .  121 : 125
D .  125 : 121
Answer: Option C let l, b and h denote the length, breadth and depth of Meeta's lunch box Then, 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 : $$\eqalign{ & = \frac{{11l}}{{10}} \times \frac{{11b}}{{10}} \times \frac{{4h}}{5}:lbh \cr & = \frac{{121}}{{125}}:1 \cr & = 121:125 \cr} $$
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