There were 35 students in a hostel. If number of students is increased by 7, expenditure on food inc

English

Gujarati

Hindi

4.Average

easy

There were $35$ students in a hostel. If the number of students is increased by $7,$ the expenditure on food increase by $Rs. \,42$ per $day$ while the average expenditure of students is reduced by $Rs.\, 1.$ What was the initial expenditure on food per day? (in $Rs.$)

A

$400$

B

$432$

C

$442$

D

$420$

Solution

Let the initial expenditure on food be $x$

$35 x+42=(x-1) 42 \Rightarrow 7 x=84 \Rightarrow x=12$

therefore initial expenditure on food per day

$=35 \times 12=$ $Rs.\, 420$

Standard 13

Quantitative Aptitude

Share

Similar Questions

The average of three numbers of which greatest is $16$ is $12 .$ If the smallest is half of the greatest the remaining number is

easy

The average of $11$ numbers is $10.9$ If the average of the first six is $10.5$ and the average of last six is $11.4,$ find the middle (sixth) number.

medium

In a cricket team of $11$ boys, one player weighing $42 \,kg$ is injured and replaced by another player. If the average weight of the team is increased by $100\, gm$ as a result of this, then what is the weight of the new player? (in $kg$)

medium

After replacing an old member by a new member, it was found that the average age of five members of a club is the same assit was $3 \,year$ ago. The difference between the ages of the replaced and the new member is ? (in $year$)

medium

A library has an average of $510$ $visitors$ on Sundays and $240$ on other days. The average number of visitors per day in a month of $30 \,days$ beginning with a Sunday is

medium