Question

In a test,

Section A has 80 marks
Section B has 120 marks
Riya scores
55% in Section A
70% in Section B.
To pass, Riya needs to score 65% of the total marks.
Does she pass?
You must show your working.

Answer 1

Riya fails in the exam by 2 marks.

Explanation:

• Step 1: Find the total marks required to pass.

Total marks in Section A = 80 marks

Total marks in Section B = 120 marks

Total marks in the test = 120 + 80 = 200 marks

Percentage required to pass = 65%

⇒ Required marks to pass = 65% of 200 = 65/100 × 200 = 130 marks

• Step 2: Find marks scored in Section A and Section B.

Marks scored in Section A = 55% = 55% of 80 = 55/100 × 80 = 44 marks

Marks scored in Section B = 70% = 70% of 120 = 70/100 × 120 = 84 marks

• Step 3: Find total marks scored.

Total marks scored = 44 + 84 = 128 marks

128 < 130 ⇒ Riya fails in the test.