Average contribution of 5 men to a fund is Rs.,35. A sixth man joins and pays Rs.,35 more than resul

English

Gujarati

Hindi

4.Average

medium

The average contribution of $5$ men to a fund is $Rs.\,35.$ A sixth man joins and pays $Rs.\,35$ more than the resultant average of $6$ men. The total contribution of all the six men is (in $Rs.$)

A

$210$

B

$245$

C

$250$

D

$252$

Solution

Let, the contribution of the sixth man is $Rs.\,x,$ then

$\frac{5 \times 35+x}{6}=x-35$

$\Rightarrow 175+x=6 x-210$

$5 x=385$

$\therefore x=77$

$\therefore$ Total contribution $=Rs.\,(175+77)$

$=Rs.\,252$

Standard 13

Quantitative Aptitude

Share

Similar Questions

The average value of the numbers $15,21,32,35,$ $46$ $, x, 59,65,72$ should be greater than or equal to $43$ but less than or equal to $44 .$ Then the value of $x$ should be

medium

The average weight of a group of $20$ boys was calculated to be $89.4 kg$ and it was later discovered that one weight was misread as $78 kg$ instead of the correct one of $87 kg$. The correct average weight is in $kg$

medium

The average weight of all the $11$ players of Indian cricket team is $50\, kg.$ If the average of first six lightest weight players is $49\, kg$ and that of the six heaviest players is $52\, kg$. The average weight of the player which lies in the sixth position in the list of players when all the $11$ $players$ are arranged in the order of $increasing$ or $decreasing$ $weights$ (in $kg$)

medium

Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is $56,$ the three numbers in order are

medium

There were $35$ students in a hostel. If the number of students increases by $7 ,$ the expenses of the mess increase by $Rs.\,42$ per $day$ while the average expenditure per head diminishes by $Rs.\,1$ Find the actual expenditure of the mess. (in $Rs.$)

hard