The 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 ₹50,000, then a tree with 30 rings is ________ years of age and its value is ₹_________.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 37.5, 37500.
Age is proportional to the number of rings
Age of tree 1/Number of rings in tree 1 = Age of tree 2/Number of rings in tree 2
⇒ 50/40 = Age of tree 2/30
Age of tree 2 = (50 × 30)/40 = 37.5 years
Since the value of the tree is proportional to its age
Value of tree 1/Age of tree 1 = Value of tree 2/Age of tree 2
⇒ 50000/50 = Value of tree 2/37.5
Value of tree 2 = 50000/50 × 37.5
Value of tree 2 = 37500