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1. 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

Solution:

let l, b and h denote the length, breadth and depth of Meeta's lunch box
Then, length of Rita's lunch box :

= 110 % of l = \frac{11 l}{10}

Breadth of Rita's lunch box :

= 110 % of b = \frac{11 b}{10}

Depth of Rita's lunch box :

= 80 % of h = \frac{4 h}{5}

∴ Ratio of the capacities of Rita's and Meeta's lunch boxes :

\begin{aligned} = \frac{11 l}{10} \times \frac{11 b}{10} \times \frac{4 h}{5} : l b h \\ = \frac{121}{125} : 1 \\ = 121 : 125 \end{aligned}

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