A dealer of stationery items buys two types of pens, named Rajat Pen and Naveen Pen. The cost of 4 Rajat Pens and 6 Naveen Pens together is ₹540. The cost of one Naveen Pen is ₹15 more than the cost of one Rajat Pen. What is the cost of one Rajat Pen?
₹45
Let the cost of one Rajat Pen be \(R\) and one Naveen Pen be \(N\).
The total cost condition gives \(4R + 6N = 540\), and the price relation gives \(N = R + 15\).
Substitute the second into the first: \(4R + 6(R + 15) = 540\).
Expand and combine: \(4R + 6R + 90 = 540 \Rightarrow 10R + 90 = 540\).
Solve for \(R\): \(10R = 450 \Rightarrow R = 45\).
Hence, the cost of one Rajat Pen is ₹45.
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