Using multipel sum ranges in Sumproduct() & countif() in array

Hi Excel Gurus,

After completing almost 106 days I am very thank full Forums experts as because of them I am able to use some formula more effectively.

Now I've jammed in below problem and almost struggling from last 2 days, At last, I ve got the solution but seeking for some improvement in formula. Hope I'll get some cool solution from you. My problem is :

1.In G Column I put logic for Fail and Obtained Marks.
G2=IF(COUNTIF(B2:F2,">=60")=5,SUM(B2:F2),"Fail")
2. Now in H column I want use this formula which I obtained from this forum
H2=SUMPRODUCT((G$2:G$7>G2)/COUNTIF(G$2:G$7,G$2:G$7&""))+1
To get the position of Students.
But the text value "fail" in the G2:G7 getting Position No. 1 and i've noticed the reason by using evaluate formula as well.
3. I got solution by changing "Fail" with 0 by creating column I and then column H put this formula.
=SUMPRODUCT((I$2:I$7>I2)/COUNTIF(I$2:I$7,I$2:I$7&""))+1
or
=IF(I2=0,"Fail",SUMPRODUCT((I$2:I$7>I2)/COUNTIF(I$2:I$7,I$2:I$7&""))+1)
Now after spending a more time I made this array formula for H2 to control Text Values
={SUMPRODUCT((IF(ISNUMBER($G$2:$G$7),$G$2:$G$7,0)>N(G2))/COUNTIF(G$2:G$7,G$2:G$7&""))+1}
or
={IF(COUNTIF(B3:F3,">=60")<>5,"Fail",SUMPRODUCT((IF(ISNUMBER($G$2:$G$7),$G$2:$G$7,0)>N(G3))/COUNTIF(G$2:G$7,G$2:G$7&""))+1)}
And more work to get total marks + position ......
={IF(COUNTIF(B2:F2,">=60")<>5,"Fail",SUM(B2:F2)&"-"&SUMPRODUCT((IF(ISNUMBER($G$2:$G$7),$G$2:$G$7,0)>N(G2))/COUNTIF(G$2:G$7,G$2:G$7&""))+1)}
Now I am wounder that is there a way to get rid of Column G ?????
By replacing (if there is any method) G2, G3, G4 etc. with Sum(B2:F2); Sum(B3:F3);Sum(B4:F4) etc. in below formula
={SUMPRODUCT((IF(ISNUMBER($G$2:$G$7),$G$2:$G$7,0)>N(G2))/COUNTIF(G$2:G$7,G$2:G$7&""))+1}

All the things are briefly described in attached sheet.