Aptitude Discussion

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 |

**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.**

**Sravan Reddy**

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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

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

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

**Mohan Dand**

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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, \(=396-320=76\)

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!!