Concept: The question tests on the area of Probability

Solution: 
There are 8 Left handed and 12 Right handed archers.

P(Left Handed) = 8/20 = 2/5 = 0.4

P(Hitting the target and LH) = 0.4 * 0.7 = 0.28 = 28/100 = 7/25

Option E