Rita stands in a row of 15 girls facing north. She shifts two places to her right and then becomes 6th from the right end. What was her original position from the left end?

After shifting she is 6th from the right in a row of 15, i.e. 15 - 6 + 1 = 10th from the left. Since she moved two places to her right (toward the right end), her original position was 10 - 2 = 8th from the left.