Question
Download Solution PDFThe age of a tree depends on the number of rings in the trunk. The value of a such tree is proportional to its age. If a tree with 40 rings and 50 years of age has a value of Rs.50,000, then a tree with 30 rings is ________ years of age and its value is Rs. ________
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The age of a tree depends on the number of rings in the trunk. The value of such a tree is proportional to its age.
A tree with 40 rings and 50 years of age has a value of Rs.50,000.
Formula used:
Age of tree = Number of rings
Value of tree = Proportional to age
Calculations:
Tree with 40 rings has an age of 50 years.
⇒ Age per ring = 50 years / 40 rings = 1.25 years per ring
Tree with 30 rings:
⇒ Age = 30 rings × 1.25 years per ring = 37.5 years
Value of tree:
⇒ Value per year = Rs.50,000 / 50 years = Rs.1,000 per year
⇒ Value of tree with 37.5 years of age = 37.5 years × Rs.1,000 per year = Rs.37,500
∴ The correct answer is option (1).
Last updated on Jul 10, 2025
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