Using Multipel Sum Ranges In Sumproduct() & Countif In Array

I want to get students positions in a class like 1st, 2nd, 3rd, etc. There can be two 1st position and 2 2nd positions at a time .

1.In G Column I put logic for Fail and Obtained Marks.
G2=IF(COUNTIF(B2:F2,">=60")=5,SUM(B2:F2),"Fail")
2. Then i made array formula in column H to get the position
={SUMPRODUCT((IF(ISNUMBER($G$2:$G$7),$G$2:$G$7,0)>N(G2))/COUNTIF(G$2:G$7,G$2:G$7&""))+1}
Some improvement to write fail & position
={IF(COUNTIF(B3:F3,">=60")5,"Fail",SUMPRODUCT((IF(ISNUMBER($G$2:$G$7),$G$2:$G$7,0)>N(G3))/COUNTIF(G$2:G$7,G$2:G$7&""))+1)}
And more work to get total marks & position and Fail at the same time......
={IF(COUNTIF(B2:F2,">=60")5,"Fail",SUM(B2:F2)&"-"&SUMPRODUCT((IF(ISNUMBER($G$2:$G$7),$G$2:$G$7,0)>N(G2))/COUNTIF(G$2:G$7,G$2:G$7&""))+1)}
Now I wounder that is there a way to do all calculations in column H without using 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}.....................