A) 24 m
B) 20 m
C) 23 m
D) 18.5 m
Correct Answer: A
Solution :
Let the cost of carpeting per sq m be Rs. 1. \[\therefore \] Area of the room \[=120\,sq\,m\] Let the breadth of the room be x m. Length of room \[=\frac{120}{x}\,\,m\] New cost \[=120-20=Rs.100\] Breadth \[=\text{(}x-4\text{)}\,m\] Then, \[\frac{120}{x}\times \text{(}x-4\text{)=100}\] \[\Rightarrow \] \[\frac{6}{x}(x-4)=5\] \[\Rightarrow \] \[6x-24=5x\] \[\Rightarrow \] \[x=24\] \[\therefore \] Breadth of the room \[=24\,m\]You need to login to perform this action.
You will be redirected in
3 sec