Question

A bag contains $25$ paise and $50$ paise coins whose total value is $Rs.30$. If the number of $25paise$ coins is four times that of $50paise$ coins, find the number of each type of coins.

Answer 1

Total amount in the bag $=$ Rs. $30=3000$ paise

Let the number of $50$ paise coins be $x$

Then the number of $25$ paise coins $=4x$

Now, according to the question

$25\left(4x\right)+50x=3000$

$100x+50x=3000$

$150x=3000$

$x=\frac{3000}{150}$

$x=20$

$4x=80$

Therefore, number of $50$ paise coins $=20$

Number of $25$ paise coins $=80$