Question
Download Solution PDFTarun owned a plot of land having an area that was 10% more than the area of the plot owned by Basab, while the area of the plot of land owned by Nakul was 40% more than the area of the plot owned by Tarun. If the area of the plot owned by Nakul was 2695 square feet, what was the area (in square feet) of the plot owned by Basab?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Tarun plot = 110% × Basab plot
Nakul plot = 140% × Tarun plot
Area of Nakul plot = 2695 feet2
Calculation:
Tarun plot : Basab plot = 110 : 100 = 11 : 10
Nakul plot : Tarun plot = 140 : 100 = 7 : 5
Tarun plot must be same so
Tarun plot : Basab plot = (11 : 10) × 5 = 55 : 50
Nakul plot : Tarun plot = (7 : 5) × 11 = 77 : 55
Tarun plot : Basab plot : Nakul plot = 55 : 50 : 77
Now, 77 units = 2695 feet2
⇒ Basab plot = 50 units = (2695 × 50)/77
⇒ Basab plot = 35 × 50 = 1750 feet2
∴ The correct answer is 1750 feet2.
Last updated on Jul 9, 2025
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