A) 75
B) 80
C) 85
D) 90
Correct Answer: D
Solution :
As we are asked to find out the length of the wall, we compare each item with the length as shown below: More number of men \[\Rightarrow \] More length of wall Less number of men \[\Rightarrow \] Less length of wall \[i.e\]. This forms a direct relationship. Moreover, Less number of days \[\Rightarrow \] Less length built More number of days \[\Rightarrow \] More length built \[i.e\]. this relationship is also direct. Let \[x\] be the required length of the wall. Now, we have two equations. Men \[15:25\] Days \[6:3:\,\,:108:x\] Now, to solve we multiply the given ratios together, equating the required ratio. \[i.e.\] \[\frac{15}{25}\times \frac{6}{3}=\frac{108}{x}\] \[\Rightarrow \] \[15\times 6x=108\times 25\times 3\] \[\Rightarrow \] \[x=\frac{108\times 25\times 3}{15\times 6}=18\times 5=90\]
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