A bag contains 25 paise, 50 paise and 1 Rs coins. There are 220 coinsinall and the total amount in the bag is Rs. 160. If there arethrice as many 1 Rs. coins as there are 25 paise coins, then what is the number of 50 paise coins?

Let there be x one rupee coin, y 50 paise coin, z 25 paise coinx + y + z = 220......(i)

Total amount = 160

Now, x + (y/2) + z = 160 ......(ii)

⇒4x + 2y + z = 640

Thrice as many 1 re coin as 25 paise

⇒x = 3z ......(iii)

On solving equation (i), (ii) and (iii), we get

z = 40x= 3* 40 = 120y = 220 –(120 + 40 ) = 60

So, 50 paise coin =60