Chetan has Rs. 5,500 in her purse in denominations of hundred and fifty. She has 64 notes in all counting both hundred and fifty. How many hundred rupee notes does she have in her purse?
Explanation:
Let the number of hundred rupee notes be x and the number of fifty rupee notes be y.
x + y = 64 ...(1)
100x + 50y = 5500 ...(2)
Equation (2) can be rewritten as,
50x + 50x + 50y = 5500
⇒ 50x + 50(x + y) = 5500
∴ 50x + 3200 = 5500
∴ x = 46
∴ The number of hundred rupee notes is 46.
Hence, option (a).
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.