| 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 [SSC (CGL) 2012] |
A) 30680
B) 30710
C) 31500
D) 31680
Correct Answer: D
Solution :
| Ratio of weight of box and paper bundles \[=3:22\] |
| Weight of the book \[=3x\,\,g\] |
| Weight of the bundles \[=22\,x\,g\] |
| \[\therefore \] \[3x+22x=36\times 1000\,\,g\] |
| \[\Rightarrow \] \[25x=36000\] |
| \[\Rightarrow \] \[x=\frac{36000}{25}=1440\,\,g\] |
| Weight of the paper \[=22\times 1440=31680\,\,g\] |
| Alternate Method |
| Weight of paper bundles \[=\frac{a}{a+b}\times p\] |
| where, p = Total weight and a, b-are individual weights |
| \[\therefore \]Weight \[=\frac{22}{25}\times 36\,\,kg=\frac{22\times 36\times 100}{25}=31680\,\,g\] |
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