Correct Answer - Option 1 : 127.77%
Given:
The increase in average point of all the candidate from first exam to second exam is 35%.
The difference of the total point to first seven candidate in two exam is 20% of their total point in second exam.
Formula used:
Average = sum of observation/Number of observation
Calculation:
The increase in average point of all the candidate from first exam to second exam is 35%.
The difference of the total point to first seven candidate in two exam = 20% of their total point in second exam
For first seven candidate
Total point in second exam – Total point in first exam = 20% of total point in second exam
Or, Total points in the first exam = 0.8 × total point in second exam
Increase the total points of 7 candidate is 25%
Let the increase in the point of 8th candidate from first exam to second exam = Z%
⇒ 35% = (7 × 25% + 1 × Z%)/8
⇒ 280 – 175 = Z%
⇒ z = 105%
Let point of 8th candidate in first exam = 100p
Then, point in second exam = 100p + 105P
⇒ 205p
Point in first test miscalculated as 1/9 more, which means
⇒ (1 + 1/9)
⇒ 10/9 (Actual point)
⇒ 100p = 10/9(Actual point)
Actual point = 90p
Final point = 205p
Actual increase in point = (205 – 90)
⇒ 115p
Increase in percentage
⇒ (115p/90p)× 100
⇒ 127.77%
∴ The actual percentage increase in his points is 127.77%.
