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The length and breadth of a rectangular piece of land are in the ratio of 5:3, the owner spent Rs.3000 for surrounding it from all the sides at Rs.7.50 per meter. The different between its length and breadth is ?
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- 50 m
- 100 m
- 150 m
- 200 m
Correct Option: A
Let Length = 5y meters and breadth = 3y meters.
Then, perimeter = 2 x (5y + 3y ) m = 16y meters ...(i)
But perimeter = Total Cost / Rate = 3000 / 7.50 m = 400 m ...(ii)
from eqs. (i) and (ii)
16y = 400
⇒ y = 25
∴ Length - Breadth = (5 x 25 - 3 x 25 ) m
= 2 x 25 m
= 50 m
