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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?
Solution
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 the total amount is Rs 2700.
∴ 50x + 40x = 2700
⇒ 90x = 2700
⇒ x = `2700/90`
⇒ x = 30
Number of 50-rupee notes = x = 30
Number of 20-rupee notes = 2x
= 2 × 30
= 60
∴ Shubhangi has 30 notes of 50 rupees.
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