Question

Shubhangi has twice as many 20-rupee notes as she has 50-rupee notes. Altogether,she has 2700 rupees. How many 50-rupee notes does she have ?

Answer 1

Let the number of 50-rupee notes = x
Then, the number of 20-rupee notes = 2 × number of 50-rupee notes = 2x
Amount of 50-rupee notes = Rs(50 × x) = Rs 50x
Amount of 20-rupee notes = Rs(20 × 2x) = Rs 40x
It is given that total amount is Rs 2700.
$$\begin{gathered} \therefore 50x+40x=2700 \\ \Rightarrow 90x=2700 \\ \Rightarrow x=\frac{2700}{90} \\ \Rightarrow x=30 \end{gathered}$$
Number of 50-rupee notes = x = 30
Number of 20-rupee notes = 2x = 2 × 30 = 60