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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation X×（1-12%）×（1-2.5%）×（1-25%）×（1-4%） = 7.2 .
    Question type: Equation
    Solution:Original question:
      X (1 −
12
100
)(1 −
5
200
)(1 −
25
100
)(1 −
4
100
) =
36
5
    Remove the bracket on the left of the equation:
     Left side of the equation = X × 1(1 −
5
200
)(1 −
25
100
)(1 −
4
100
) − X ×
12
100
(1 −
5
200
)(1 −
25
100
)(1 −
4
100
)
                                             = X × 1 × 1(1 −
25
100
)(1 −
4
100
) − X × 1 ×
5
200
(1 −
25
100
)(1 −
4
100
) − X ×
12
100
                                             = X × 1(1 −
25
100
)(1 −
4
100
) − X ×
1
40
(1 −
25
100
)(1 −
4
100
) − X ×
12
100
(1 −
5
200
)(1 −
25
100
)
                                             = X × 1 × 1(1 −
4
100
) − X × 1 ×
25
100
(1 −
4
100
) − X ×
1
40
(1 −
25
100
)(1 −
4
100
)
                                             = X × 1(1 −
4
100
) − X ×
1
4
(1 −
4
100
) − X ×
1
40
(1 −
25
100
)(1 −
4
100
) − X ×
12
100
                                             = X × 1 × 1 − X × 1 ×
4
100
 − X ×
1
4
(1 −
4
100
) − X ×
1
40
(1 −
25
100
)
                                             = X × 1 − X ×
1
25
 − X ×
1
4
(1 −
4
100
) − X ×
1
40
(1 −
25
100
)(1 −
4
100
) − X
                                             =
24
25
 X − X ×
1
4
(1 −
4
100
) − X ×
1
40
(1 −
25
100
)(1 −
4
100
) − X ×
12
100
(1 −
5
200
)
                                             =
24
25
 X − X ×
1
4
 × 1 + X ×
1
4
 ×
4
100
 − X ×
1
40
(1 −
25
100
)(1 −
4
100
)
                                             =
24
25
 X − X ×
1
4
 + X ×
1
100
 − X ×
1
40
(1 −
25
100
)(1 −
4
100
) − X ×
12
100
                                             =
18
25
 X − X ×
1
40
(1 −
25
100
)(1 −
4
100
) − X ×
12
100
(1 −
5
200
)(1 −
25
100
)(1 −
4
100
)
                                             =
18
25
 X − X ×
1
40
 × 1(1 −
4
100
) + X ×
1
40
 ×
25
100
(1 −
4
100
) − X ×
12
100
                                             =
18
25
 X − X ×
1
40
(1 −
4
100
) + X ×
1
160
(1 −
4
100
) − X ×
12
100
(1 −
5
200
)(1 −
25
100
)
                                             =
18
25
 X − X ×
1
40
 × 1 + X ×
1
40
 ×
4
100
 + X ×
1
160
(1 −
4
100
) − X
                                             =
18
25
 X − X ×
1
40
 + X ×
1
1000
 + X ×
1
160
(1 −
4
100
) − X ×
12
100
(1 −
5
200
)
                                             =
87
125
 X + X ×
1
160
(1 −
4
100
) − X ×
12
100
(1 −
5
200
)(1 −
25
100
)(1 −
4
100
)
                                             =
87
125
 X + X ×
1
160
 × 1 − X ×
1
160
 ×
4
100
 − X ×
12
100
(1 −
5
200
)(1 −
25
100
)
                                             =
87
125
 X + X ×
1
160
 − X ×
1
4000
 − X ×
12
100
(1 −
5
200
)(1 −
25
100
)(1 −
4
100
)
                                             =
351
500
 X − X ×
12
100
(1 −
5
200
)(1 −
25
100
)(1 −
4
100
)
                                             =
351
500
 X − X ×
12
100
 × 1(1 −
25
100
)(1 −
4
100
) + X ×
12
100
 ×
5
200
(1 −
25
100
)(1 −
4
100
)
                                             =
351
500
 X − X ×
3
25
(1 −
25
100
)(1 −
4
100
) + X ×
3
1000
(1 −
25
100
)(1 −
4
100
)
                                             =
351
500
 X − X ×
3
25
 × 1(1 −
4
100
) + X ×
3
25
 ×
25
100
(1 −
4
100
) + X ×
3
1000
                                             =
351
500
 X − X ×
3
25
(1 −
4
100
) + X ×
3
100
(1 −
4
100
) + X ×
3
1000
(1 −
25
100
)(1 −
4
100
)
                                             =
351
500
 X − X ×
3
25
 × 1 + X ×
3
25
 ×
4
100
 + X ×
3
100
(1 −
4
100
) + X
                                             =
351
500
 X − X ×
3
25
 + X ×
3
625
 + X ×
3
100
(1 −
4
100
) + X ×
3
1000
(1 −
25
100
)

    
        X≈11.655012 , keep 6 decimal places    
    There are 1 solution(s).

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