A bag contains rupee, 50-paise and 25-paise coins in the ratio 3:4:6. If the total amount is ₹143, the number of 50-paise coins is:

Let the number of rupee (₹1), 50-paise, and 25-paise coins be 3x, 4x, and 6x respectively.
We know that:

Value of one ₹1 coin = ₹1

Value of one 50-paise coin = ₹
2
1
​


Value of one 25-paise coin = ₹
4
1
​


The total value of the coins is given by:

3x×1+4x×
2
1
​
+6x×
4
1
​
=143
Simplifying the equation:

3x+2x+1.5x=143
6.5x=143
x=
6.5
143
​
=
65
1430
​
=22
The number of 50-paise coins is 4x:

Number of 50-paise coins=4×22=88