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Rehana went to a bank to withdraw ₹2,000. She asked the cashier to give her ₹50 and ₹100 notes only. Rehana got $25$ notes in all. Find how many notes of ₹50 and ₹100 did she receive.
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Let number of ₹50 notes $$\begin{aligned}& = x \\ & \text{and number of } \text{Rs}100 \text{ notes } = y \\ & \text{Here } x + y = 25 ------(i) \\ & 50x + 100y = 2000 \text{ or } x + 2y = 40 -------(ii) \\ & \text{Solving eq.(i) and eq.(ii), we get} \\ & x = 10 \text{ and } y = 15 \\ & \text{Therefore } 10 \text{ notes of } \text{Rs}50 \text{ and } 15 \text{ notes of } \text{Rs}100 \text{ are received.}\end{aligned}$$