Q4: A bag contains coins of denomination 50 p, 25 p and 20 p in the ratio 2: 3:4. Find how
many 25p coins were there in the bag if the number of 50p coins were 114.
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Let the number of 50p, 25p and 20p coins be 2x,3x,and4x.
Then 2x×
100
50
+3x×
100
25
+4x×
100
20
=510
⟹
1
x
+
4
3x
+
5
4x
=510
⟹
20
20x+15x+16x
=510
⟹
20
51x
=510
⟹x=
51
510×20
x=200
2x=2×200=400
3x=3×200=600
4x=4×200=800.
Therefore, number of 50p coins, 25p coins and 20p coins are 400,600,800
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