Question
‘P’ had four Rs. 500 notes and a certain number of
Rs. 50 notes with him while ‘Q’ had eleven Rs. 200 notes and one Rs. 500 note with him. Later ‘P’ was given a Rs. 100 note and now the ratio of amounts with ‘P’ and ‘Q’ was 5:6, respectively. How many Rs. 50 notes did ‘P’ have?Solution
Let the number of Rs. 50 notes with ‘P’ = ‘y’ Then, Final amount with ‘P’ = (4 × 500 + 50y + 100) = Rs.(2100 + 50y) Amount with ‘Q’ =(11 × 200 + 500) = Rs. 2700 So, according to the question, (2100 + 50y):(2700) = 5:6 Or, 2100 + 50y = 2700 × (5/6) Or, 2100 + 50y = 2250 Or, 50y = 150 Or, y = (150/50) Or, y = 3 Therefore, P has 3 Rs. 50 notes with him.
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