Batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest

English

Gujarati

Hindi

4.Average

hard

The batting average for $40$ innings of a cricket player is $50$ runs. His highest score exceeds his lowest score by $172$ runs. If these two innings are excluded. the average of the remaining $38$ innings is $48$ runs. The highest score of the player is

A

$165$

B

$170$

C

$172$

D

$174$

Solution

Total Score of the player $=50 \times 40=2000$

$H – L =172$

Total Score excluding Highest \& Lowest $=38 \times 48=$ 1824

$\therefore H + L =2000-1824=176$

By Solving

$H+ L =176$

$H-L=172$

_____________________

$2H=348$

$H =174$

Standard 13

Quantitative Aptitude

Share

Similar Questions

The average weight of $21$ boys was recorded as $64 \,kg.$ If the weight of the teacher was added, the average increased by one $kg.$ What was the teacher's weight?

medium

The average salary of workers in $AMS$ careers is $Rs.\, 2,000$ , the average salary of faculty being $Rs. \,4,000$ and the management trainees being $Rs. \,$ $1,250 .$ The total number of workers could be

medium

The average age of four members of a family is $32\, years.$ If the age of a guest is included, then the average age increased by $12.5 \% .$ What is the age (in $years$) of the guest ?

easy

The average of marks obtained by $120$ candidates was $35.$ If the average of marks of passed candidates was $39$ and that of failed candidates was $15,$ the number of candidates who passed the examination is

medium

The average expenditure of a man for the first five months is $Rs.\, 120$ and for the next seven months is $Rs. \,130$ . His monthly average income in $Rs.$ if he saves $Rs. \,290$ in that year, is

medium