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:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 100 metres
Cost of surrounding land at Rs. 7.5/m = Rs 6000
Perimeter of land = 6000/7.5 = 800 m
Let, length and breadth are l and b respectively.
Also, l : b = 5 : 3
So, l = 5x and b = 3x,
So,
2(l + h) = 800
⇒ 2(5x + 3x) = 800
⇒ x = 50
Hence,
l - b = 5x - 3x = 2x = 2 × 50 = 100 m