A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A took food for 27 days she had to pay Rs 1210 as hostel charges whereas a student B, who took food for 15 days, paid Rs 850 as hostel charges. Find the fixed charges and the cost of food per day. [4 MARKS]

Q. A part of monthly hostel charges in a college are fixed and the remaining depend on the number of days one has taken food in the mess. When a student

A

takes food for

20

days, he has to pay Rs.

1000

as hostel charges whereas a student

B

, who takes food for

26

days, pays Rs.

1180

as hostel charge. Find the fixed charge in Rs

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The mess charges for 35 students for 24 days is Rs. 6300. In how many days will the mess charges be Rs. 3375 for 25 students?

The correct option is A 18 daysLet us calculate mess charge per person per day=630035×24=7.5Now,337525×days=7.5⇒3375=Days×25×7.5⇒Days=18Therefore, Answer is (A)

The mess charges for $35$ students for $24$ days is Rs. $6300$ . In how many days will the mess charges be Rs. $3375$ for $25$ students?

The correct option is A $18$ days
Let us calculate $m e s s$ $c h a r g e$ per person per day
$= \frac{6300}{35 \times 24} = 7.5$
Now,
$\frac{3375}{25 \times d a y s} = 7.5$

$\Rightarrow 3375 = D a y s \times 25 \times 7.5$
$\Rightarrow D a y s = 18$

Therefore, Answer is $(A)$