A cricketer whose bowling average is 12.4 run | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Let the number of wickets taken by the cricketer till the last match be $x$.The total runs conceded by him till the last match is $12.4x$.In the c

Vedclass · Accepted Answer

$85$

Vedclass · Answer

(D) Let the number of wickets taken by the cricketer till the last match be $x$.The total runs conceded by him till the last match is $12.4x$.In the current match,he takes $5$ wickets for $26$ runs.So,the new total number of wickets is $x + 5$ and the new total runs conceded is $12.4x + 26$.The new bowling average is $12.4 - 0.4 = 12$.According to the problem,the new average is given by the ratio of total runs to total wickets:$\frac{12.4x + 26}{x + 5} = 12$Multiplying both sides by $(x + 5)$:$12.4x + 26 = 12(x + 5)$$12.4x + 26 = 12x + 60$Subtracting $12x$ from both sides:$0.4x + 26 = 60$Subtracting $26$ from both sides:$0.4x = 34$Dividing by $0.4$:$x = \frac{34}{0.4} = 85$Thus,the number of wickets taken by him till the last match was $85$.

$A$ cricketer whose bowling average is $12.4$ runs per wicket takes $5$ wickets for $26$ runs and thereby decreases his average by $0.4$. The number of wickets taken by him till the last match was:

Similar Questions

$A$ person covers $9 \, km$ with a speed of $3 \, km/h$,$25 \, km$ with a speed of $5 \, km/h$,and $30 \, km$ with a speed of $10 \, km/h$. Find the average speed of the person in $km/h$.

The average of two numbers is $62$. If $2$ is added to the smaller number,the ratio between the numbers becomes $1:2$. The smaller number is

The average salary of all workers in a workshop is $Rs. 12000$. The average salary of $7$ technicians is $Rs. 15000$ and the average salary of the rest is $Rs. 9000$. The total number of workers in the workshop is:

The average of runs scored by a cricketer in his $99$ innings is $99$. How many runs will he have to score in his $100^{\text{th}}$ innings so that his average of runs in $100$ innings may be $100$?

What was the average daily expenditure in $Rs.$ of a man in $1999$ who spent $Rs. \, 76535$ in the first half of the year and $Rs. \, 88165$ in the second half?

Vedclass Test Series

Exam Paper Generator

Online Exam Module