In an examination, there were two papers, A and B, and the maximum mark in each of the two papers was 10. However, the weights assigned to papers A and B were in the ratio 2 : 1, respectively. Jonathan scored 8 out of 10 in Paper A and an overall 70% in the examination. How much did he score in Paper B out of 10?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 5.
Weight ratio of Paper A : Paper B = 2 : 1
Riddhi's score in Paper B = 8 out of 10
Overall percentage = 70%
Weight ratio of Paper A : Paper B = 2 : 1
Maximum score in Paper B = 10
So, the maximum score in Paper A = 20
Overall obtained score = 70% of 30 = 70/100 × 30 = 21
Score in Paper A out of 20 = overall score - Score in Paper B = 21 - 8 = 13
So, the Score in Paper A out of 10 = 13/2 = 6.5