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Question

A bag contains Rs. 600 in the form of one-rupee, 50-paise and 25 paise coins. These are in the ratio 3:4:5. How many 25-paise coins are there in the bag?

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Solution

Firstly we need to convert paise into Rs
100 paise=1 Rs
50 paise=50100=0.5 Rs
Similarly
25 paise=25100=0.25 Rs

Let x bethe number of paise involved
Since the ratio of 1,0.50,0.25 Rs is 3:4:5 respectively
The number of 1 Rs is 3x
The number of 50 paise is 0.5×4x=2x
The number of 25 paise is 0.25×5x=1.25x
An addition of all this is Rs.600
3x+2x+1.25x=600
6.25x=600
x=6006.25
x=96
Number of 25 paise coins=1.25x=1.25×96=120

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