Question

The length and breadth of a rectangular piece of a land are in a ratio 5 : 3. The owner spent Rs. 6000 for surrounding it from all sides at Rs. 7.50 per metre. The difference between its length and breadth is

• A. 50 m
• B. 100 m
• C. 150 m
• D. 250 m

Answer 1

Answer:

B. 100 m

Perimeter of rectangular land =$\frac{6000}{7.5}=800m$

Length = 5x metre

Breadth = 3x metre

2 (5x + 3x) = 800

=>16x=800=>x=\frac{800}{16}=50

Required difference = 5x – 3x = 2x metre

= (2 × 50) metre = 100 metre