Question

Full marks of two examination paper are in the ratio 2:3. A candidate obtains 60% marks in the first paper and 70% in the two papers, taken together. What percentage of marks did he get in the second paper?

Answer 1

Full marks of two examination papers are in the ratio of 2 : 3. A candidate obtains 60% marks in the first paper and 70% in the two papers, taken together.

To find : the percentage of marks got by him in the second paper.

solution : let full marks of 1st and 2nd papers are 2k and 3k respectively.

obtained marks in the first paper = 60% of 2k

= 60 × 2k/100 = 1.2k

obtained marks in both papers = 70% of (2k + 3k)

= 70 % of 5k

= 70 × 5k/100

= 3.5k

so the candidate obtains mark in the second paper = 3.5k - 1.2k = 2.3k

marks in percentage = 2.3k/3k × 100

= 230/3

= 76.67 %

Therefore the candidate got 76.67 % marks in the second paper.