Question

Study the following table to answer these questions.

Percentage of marks obtained by 7 students in 6 subjects (maximum marks for each subject are shown in brackets)

Student/Subject	H (75)	G (60)	M (80)	S (50)	E (40)	H (40)
P	86	82	95	78	66	84
9	92	78	85	89	72	76
R	76	94	89	75	62	69
T	67	74	74	84	85	82
M	74	86	64	80	78	72
L	88	89	76	88	70	64
N	90	96	86	92	65	66

What is the over all percentage of marks obtained by M in all the subjects (rounded off to two digits after decimal)?

Options

• 82.74

• 84.76

• 76.84

• 74.20

Answer 1

74.20

Explanation:

Marks obtained by M in.

H = `74/100 xx 75 = 74 xx 3/4 = (37 xx 3)/2`

= `37 xx 1.5 = 37 + 1/2 (37)` = 55.5

G = `86/100 xx 60 = 86 xx 3/5 = 85 xx 3/5` = 51

M = `64/100 xx 80 = 64 xx 4/5 xx = 65 xx 4/5 = 13 xx 4` = 52

S = `80/100 xx 50` = 40

E = `78/100 xx 40 = 78 xx 2/5 = 146/5` = 29

H = `72/100 xx 40 = 72 xx 2/5 = 144/5` = 28.8

Total marks obtained = 55 + 51 + 52 + 40 + 29 + 29 = 256

Total marks = 345% = `256/345 xx 100` = 74.20%