The following table shows the percentage of marks obtained by five students - V, W, X, Y and Z - in five subjects.

Subjects	Maths	Physics	Chemistry	Botany	Hindi
Maximum marks →  Students ↓	300	300	200	100	100
V	60	80	90	100	95
W	90	70	80	70	40
X	70	90	95	80	75
Y	80	60	70	95	80
Z	90	50	80	85	85

What are the average marks, in percentage, obtained by X?

Given:

The following table shows the percentage of marks obtained by X

Calculations:

According to the question,

Total marks obtained by X in all subjects = Maths + Physics + Chemistry + Botany + Hindi

⇒ Maths = 70% of 300 = 0.70 × 300 = 210

⇒ Physics = 90% of 300 = 0.90 × 300 = 270

⇒ Chemistry = 95% of 200 = 0.95 × 200 = 190

⇒ Botany = 80% of 100 = 0.80 × 100 = 80

⇒ Hindi = 75% of 100 = 0.75 × 100 = 75

Total marks obtained = 210 + 270 + 190 + 80 + 75 = 825 marks

Maximum marks = 300 + 300 + 200 + 100 + 100 = 1000

Average Percentage marks  = \(\frac{825}{1000}\) = 82.5%

∴ The average marks, in percentage, obtained by X is 82.5%.