A purse contains 225 currency notes consisting of 5 rupees, 10 rupee
and 50 rupees currencies in the ratio 3 : 7: 5 respectively. Out of this,
25 is spent and the left out money is exchanged for 500 rupees
curency notes. Then the number of 500 rupees currency notes is..
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Answer:
10
Step-by-step explanation:
As per the question,
Let the common ratio be = x
Therefore,
Number of 5 rupees notes = 3x
Number of 10 rupees notes = 7x
Number of 50 rupees notes = 5x
Total number of notes = 225
∴ 3x + 7x + 5x = 225
⇒ 15x = 225
⇒ x = 15
Therefore,
Number of 5 rupees notes = 3x = 45
Number of 10 rupees notes = 7x = 105
Number of 50 rupees notes = 5x = 75
Now,
Total money = 5 × 45 + 10 × 105 + 50 × 75 = 5025
Out of this, 25 is spent, that is left money is
Left out money = 5025 - 25 = 5000
Let the number of 500 rupees notes = y
∴ 500 × y = 5000
⇒ y = 10
Hence, the number of 500 rupees currency notes is = 10
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