Step 1: Understand the Proportion
The coins are in the ratio 2:4:7:3 for five rupee, two rupee, one rupee, and fifty paise coins, respectively.
Let the number of coins for each type be:
Five rupee coins =
2
2x,
Two rupee coins =
4
4x,
One rupee coins =
7
7x,
Fifty paise coins =
3
3x.
Step 2: Calculate the Total Value
The value of the coins is:
Five rupee coins:
5
×
2
=
10
5×2x=10x,
Two rupee coins:
2
×
4
=
8
2×4x=8x,
One rupee coins:
1
×
7
=
7
1×7x=7x,
Fifty paise coins:
0.5
×
3
=
1.5
0.5×3x=1.5x.
The total value is:
10
+
8
+
7
+
1.5
=
26.5
10x+8x+7x+1.5x=26.5x
Step 3: Total Value Equals 1060
We are given that the total value of coins is 1060:
26.5
=
1060
26.5x=1060
Solve for
x:
=
1060
26.5
=
40
x=
26.5
1060
=40
Step 4: Find the Number of Two Rupee Coins
The number of two rupee coins is:
4
=
4
×
40
=
160
4x=4×40=160
Final Answer:
(3) 160
