Quantitative Aptitude Ques 1229

Question: A box filled with paper bundles weights 36 kg. If the weight of the box and paper bundles, respectively are in the ratio of 3 : 22, then the weight (in grams) of the papers is

Options:

A) 30680

B) 30710

C) 31500

D) 31680

Show Answer

Answer:

Correct Answer: D

Solution:

  • Ratio of weight of box and paper bundles $ =3:22 $ Weight of the book $ =3xg $ Weight of the bundles $ =22,x,g $

$ \therefore $ $ 3x+22x=36\times 1000g $

$ \Rightarrow $ $ 25x=36000 $

$ \Rightarrow $ $ x=\frac{36000}{25}=1440g $ Weight of the paper $ =22\times 1440=31680g $ Alternate Method Weight of paper bundles $ =\frac{a}{a+b}\times p $ where, p = Total weight and a, b-are individual weights

$ \therefore $ Weight $ =\frac{22}{25}\times 36kg=\frac{22\times 36\times 100}{25}=31680g $