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If 45% of 30 + 2X = 35% of 15 + 20% of 45, then the value of X is:

  1. A
    1 / 9
  2. B
    3 / 5
  3. C
    2 / 7
  4. D
    3 / 8

Solution & Step-by-step Explanation

Given expression:
45% of 30+2X=35% of 15+20% of 45
Calculate each component:

45% of 30=
100
45
​
×30=13.5

35% of 15=
100
35
​
×15=5.25

20% of 45=
100
20
​
×45=9

Substitute these back into the equation:

13.5+2X=5.25+9
13.5+2X=14.25
2X=14.25−13.5
2X=0.75
X=
2
0.75
​
=0.375
Converting 0.375 to a fraction:

X=
1000
375
​
=
8
3
​

Practice this question

Try it yourself before checking the explanation above.

If 45% of 30 + 2X = 35% of 15 + 20% of 45, then the value of X is:
A
1 / 9
B
3 / 5
C
2 / 7
D
3 / 8

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