• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Tough Problem Solving Question 700+ lvl tagged by: BrijNath ##### This topic has 1 expert reply and 2 member replies ## Tough Problem Solving Question 700+ lvl A man whose bowling average is 12.4, takes 5 wickets for 26 runs and thereby decreasing his average by 0.4. The number of wickets taken by him before the previous match is? A.85 B.78 C.72 D.64 E.92 ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1710 messages Followed by: 28 members Upvotes: 470 Top Reply BrijNath wrote: A man whose bowling average is 12.4, takes 5 wickets for 26 runs and thereby decreasing his average by 0.4. The number of wickets taken by him before the previous match is? A.85 B.78 C.72 D.64 E.92 Hey BrijNath, What's the source of the question? This is a question based on the knowledge of Cricket (Sport), not popular in many countries. The GMAT will never ask a question that needs specialized knowledge. Also, pl. post the correct answer and mask it. By the way, I know Cricket, so here's the solution... Say before the previous match, he played x took wickets. Thus, the total runs conceded by him in taking x wickets = 12.4x Thus, the total runs conceded by him in taking (x + 1) wickets, incl., 5 wickets for 26 runs = 12.4x + 26 Thus, bowling average = Runs conceded / Total wickets = (12.4x + 26)/(x + 1) = 12.4 - 0.4 (12.4x + 26)/(x + 1) = 12 => x = 85 wickets The correct answer: A Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Tarnaka | GMAT Prep Madhapur | GRE Prep Kukatpally | Jayanagar GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### Top Member Legendary Member Joined 02 Mar 2018 Posted: 786 messages Followed by: 1 members $$Let\ the\ wickets\ claimed\ by\ him\ before\ the\ last\ match=x$$ $$Total\ runs=12.4\cdot x=12.4x$$ $$Number\ of\ wickets\ now\ taken\ by\ him=\left(x+5\right)$$ $$hence,\ 12\left(x+5\right)=12.4x+26$$ $$12x+60=12.4x+26$$ $$12x+12.4x=\ 26-60$$ $$-\frac{0.4}{-0.4}=-\frac{34}{-0.4}$$ $$x=\frac{\left(340\cdot10\right)}{0.4\cdot10}$$ $$x=\frac{\left(340\right)}{4}$$ $$x=85$$ $$Wickets\ taken\ by\ him\ before\ the\ previous\ match=85$$ $$answer\ is\ Option\ A$$ ### Top Member Junior | Next Rank: 30 Posts Joined 30 Aug 2018 Posted: 13 messages Okay. So this question I think will be understood by only cricket lovers So the question state that bowler average of taking a wicket is 12.4. That means on every 12.4 runs, the bowler is taking 1 wicket. Assuming total wicket that bowler had taken earlier was x , the total number of runs given = 12.4x total number of runs given before taking 5 wicket hall = 12.4x total number of run given after taking 5 more wicket = 12.4x + 26 total number of wickets taken will be = x + 5 new average will be = (12.4x +26)/(x+5) => it is already given that new average is 0.4 lesser than the previous one. so new average: (12.4x +26)/(x+5) = (12.4 - 0.4) solving this equation the answer comes to x = 340/4 x (total number of wickets taken) = 85 Hence the answer is A • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

Available with Beat the GMAT members only code

• FREE GMAT Exam
Know how you'd score today for \$0

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

### Top First Responders*

1 Jay@ManhattanReview 67 first replies
2 Brent@GMATPrepNow 53 first replies
3 fskilnik@GMATH 49 first replies
4 GMATGuruNY 32 first replies
5 Rich.C@EMPOWERgma... 29 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 fskilnik@GMATH

GMATH Teacher

107 posts
2 Brent@GMATPrepNow

GMAT Prep Now Teacher

99 posts
3 Max@Math Revolution

Math Revolution

90 posts
4 Jay@ManhattanReview

Manhattan Review

78 posts
5 GMATGuruNY

The Princeton Review Teacher

77 posts
See More Top Beat The GMAT Experts