Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: 2010 · Marks: · Difficulty:
Rita and Meeta both are having lunch boxes of a cuboidal 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
Answer (as printed): C
Explanation
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 $=\frac{11 l}{10} \times \frac{11 b}{10} \times \frac{4 h}{5}: l b h=\frac{121}{125}: 1=121: 125$.
Explanation as extracted from the printed page; notation may be imperfect.