Question

Sachin's batting average for 50 innings is 60 runs. His highest score exceeds his lowest score by 182 runs. If these two innings are excluded, the average of the remaining 48 innings is 58 runs. The lowest score made by Sachin in his inning is: 
1. 16
2. 17
3. 18
4. 29
5. None of these

Answer 1

Correct Answer - Option 2 : 17

Given 

Average of 50 innings = 60 runs

Formula Used 

Average = sum of data/ No. of data

Calculation

So, the sum of 50 innings runs = 60 × 50 = 3000

Let the highest score of the innings = x

and the score of lowest innings = y

then, x – y = 182 runs -----(1)

According to the question 

when these two innings are excluded, the average of the remaining 48 innings = 58 runs

so, the sum of 48 innings runs = 58 × 48 = 2784

⇒ x + y = 3000 – 2784 = 216 runs

Now, x + y = 216 ----(2)

By solving both the eq , we get x = 199 runs  and y = 17 runs

∴ The lowest score is 17 runs.