a bag contains ₹750 in the form of rupees 50 paise and 25 paise coins in the ratio 5:8:4 find the number of coins of each type.
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The coins are 1 ruppe,50 paise and 25 paise
50 paise can be written as 0.50
25 paise can be written as 0.25
The ratio of these coins is 5:8:4
Let the common multiple be "x"
5x,8x and 4x
Let us now multiply with the denominations
5x*1+8x*(0.50)+4x*(0.25)=750
5x+4x+x=750
10x=750
x=75
So there are
1 rupee=5*75=375=375 rupees
50 paise=8*75=600=300 rupees
25 paise=4*75=300=75 rupees
let us verify,
375+300+75
=₹750
thus there are 375 one rupee coin,600 50 paise coins and 300 25 paise coins!
50 paise can be written as 0.50
25 paise can be written as 0.25
The ratio of these coins is 5:8:4
Let the common multiple be "x"
5x,8x and 4x
Let us now multiply with the denominations
5x*1+8x*(0.50)+4x*(0.25)=750
5x+4x+x=750
10x=750
x=75
So there are
1 rupee=5*75=375=375 rupees
50 paise=8*75=600=300 rupees
25 paise=4*75=300=75 rupees
let us verify,
375+300+75
=₹750
thus there are 375 one rupee coin,600 50 paise coins and 300 25 paise coins!
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