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Q.

The average of runs of a cricket player of 10 innings was 32. How many runes must be made in his next innings so as to increase his average of runs by 4?

 A.

72

 B.

74

 C.

70

 D.

76

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Solution:
Option(D) is correct

Average after 11 innings = 36

Required number of runs = $( 36 × 11) - (32 × 10)$

$=396-320$

76

Edit: For an alternative solution, check comment by Mohan Dand.

Edit 2: For yet another alternative solution, check comment by Sravan Reddy.


(5) Comment(s)


Sravan Reddy
 ()

Alternative thinking:

=> If he needs to raise average to 36, he needs to score 36 + additional runs to raise all previous innings to 36

Average previous innings - 32 in 10 innings. so raise by 4 in each innings - 4*10 = 40.

Answer = 36+40 = 76!!


Another Reddy
 ()

useless method.because every one needs simple method rather than fast track method.first of all people has to understand concept method.then adopt this method

Cool Reddy
 ()

No need to discourage a good effort. People have different requirements. Something which doesn't suit you might be a blessing for someone else.

Sohaib
 ()

thanks SARAVAN for nice solution...it is very easy and least time consuming


Mohan Dand
 ()

given that:

\(\dfrac{T}{10}=32\)

\(\Rightarrow\) total runs \(T=10 \times 32=320\)

\(\Rightarrow\) in his next innings (i.e 11th innings ) he want to increase his avg 4 (i.e 32 to 36) so he need to score::

\(\Rightarrow \dfrac{T}{11}=36\)

\(\Rightarrow\) total runs, \(=T=11 \times 36=396\)

\(\Rightarrow\) therfore the reqired score, \(=396-320=76\)