Question

A bag contains Rs 135 in the form of 1 rupee, 50 paise and 25 paise
coins in the ratio 3 : 5:8. Find the number of each type of coins..​

Answer 1

Answer:

Number of 1 Rupee coins- 54,

Number of 50 Paise coins- 90,

Number of 25 Paise coins-144.

Step-by-step explanation:

According to ratio-

The number of Rupee coins = 3a

And the value of Rupee coins =3a×1

=3a

The number of 50 Paise coins=5a

And the value of 50 Paise coins = 5a/2 =2.5a (:- 50 Paise = 1/2 Rupee )

The number of 25 Paise coins =8a

And the value of 25 paise coins= 8a/4 =2a (:-25 Paise =1/4 Rupee)

Now,

3a+2.5a+2a=135

7.5a=135 or

2× 7.5a= 2×135

15a=2×135

a=135×2/15

a=9×2=18

Put the value,

Number of Rupee coins = 3a = 3×18

=54

Number of 50 Paise coins =5a=5×18

=90

Number of 25 Paise coins= 8a=8×18

=144