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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
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- 50 metre
- 100 metre
- 150 metre
- 250 metre
- 50 metre
Correct Option: B
| Perimeter of rectangular land = | = 800 metre | |
| 7.5 |
Length = 5x metre
Breadth = 3x metre
∴ 2 (5x + 3x) = 800
| ⇒ 16x = 800 ⇒ x = | = 50 | |
| 16 |
∴ Required difference = 5x – 3x = 2x metre
= (2 × 50) metre = 100 metre
