The average runs of a cricket player of 10 innings were 40. How many runs must she make in her next inning so as to increase her average of runs by 3?
Answer & explanation
Correct answer: option 3
Average of 10 innings = $\frac{Total\; score\; in\; 10\; innings}{10}$
⇒ $\frac{Total\; score\; in\; 10\; innings}{10}$ = 40
⇒ Total score in 10 innings = 40 x 10 = 400
Let the score in 11th inning be $x$,
New average = 40 + 3 = 43
⇒ $\frac{Score\; of\; 10\; innings\; +\; x}{11}$ = 43
⇒ 400 + $x$ = 43 x 11
⇒ $x$ = 473 - 400 = 73
The runs that the player must make in the next inning is 73.