1.  The length and breadth of a rectangular piece of land are in the ratio of 5 : 3, the owner spent ₹ 3000 for surrounding it from all the sides at ₹ 7.50 per meter. The different between its length and breadth is ?
A. 50 m
B. 100 m
C. 150 m
D. 200 m

Answer: Option A

Explanation:

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