7 Views

Question : The average number of runs scored by a cricketer in his 99 innings is 99. How many runs will he have to score in his 100th inning so that his average of runs in 100 innings may be 100?

Option 1: 100

Option 2: 99

Option 3: 199

Option 4: 101


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

Correct Answer: 199


Solution : Given: Average runs are 99, total innings is 99 and new average is 100.
According to the question,
Let $x$ be the score in the 100 th inning.
The total runs scored in 99 innings = 99 × 99
Total runs scored in 100 innings = $(99 × 99) + x$ ---(i)
The total runs should be 100 × 100 after 100 th innings so that the average will be 100.
The total runs scored in 100 th innings = 100 × 100 = 10000 ---(ii)
From equation (i) and equation (ii), we get
$10000 = (99 × 99) + x$
$x = 10000 - 9801$
$\therefore x = 199$
Hence, the correct answer is 199.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books