7. A Part of monthly hostel charges is fixed and the remaining depends on the number of days one has takens food in the mess. When a student A takes food for 20 days she has to pay ₹1000 as hostel charges whereas a student B, who takes food for 26 days, pays ₹1180 as hostel charges. Find the fixed charges and the cost of food per day.7. A Part of monthly hostel charges is fixed and the remaining depends on the number of days one has takens food in the mess. When a student A takes food for 20 days she has to pay ₹1000 as hostel charges whereas a student B, who takes food for 26 days, pays ₹1180 as hostel charges. Find the fixed charges and the cost of food per day.7. A Part of monthly hostel charges is fixed and the remaining depends on the number of days one has takens food in the mess. When a student A takes food for 20 days she has to pay ₹1000 as hostel charges whereas a student B, who takes food for 26 days, pays ₹1180 as hostel charges. Find the fixed charges and the cost of food per day.7. A Part of monthly hostel charges is fixed and the remaining depends on the number of days one has takens food in the mess. When a student A takes food for 20 days she has to pay ₹1000 as hostel charges whereas a student B, who takes food for 26 days, pays ₹1180 as hostel charges. Find the fixed charges and the cost of food per day.7. A Part of monthly hostel charges is fixed and the remaining depends on the number of days one has takens food in the mess. When a student A takes food for 20 days she has to pay ₹1000 as hostel charges whereas a student B, who takes food for 26 days, pays ₹1180 as hostel charges. Find the fixed charges and the cost of food per day.7. A Part of monthly hostel charges is fixed and the remaining depends on the number of days one has takens food in the mess. When a student A takes food for 20 days she has to pay ₹1000 as hostel charges whereas a student B, who takes food for 26 days, pays ₹1180 as hostel charges. Find the fixed charges and the cost of food per day.7. A Part of monthly hostel charges is fixed and the remaining depends on the number of days one has takens food in the mess. When a student A takes food for 20 days she has to pay ₹1000 as hostel charges whereas a student B, who takes food for 26 days, pays ₹1180 as hostel charges. Find the fixed charges and the cost of food per day.7. A Part of monthly hostel charges is fixed and the remaining depends on the number of days one has takens food in the mess. When a student A takes food for 20 days she has to pay ₹1000 as hostel charges whereas a student B, who takes food for 26 days, pays ₹1180 as hostel charges. Find the fixed charges and the cost of food per day.7. A Part of monthly hostel charges is fixed and the remaining depends on the number of days one has takens food in the mess. When a student A takes food for 20 days she has to pay ₹1000 as hostel charges whereas a student B, who takes food for 26 days, pays ₹1180 as hostel charges. Find the fixed charges and the cost of food per day.7. A Part of monthly hostel charges is fixed and the remaining depends on the number of days one has takens food in the mess. When a student A takes food for 20 days she has to pay ₹1000 as hostel charges whereas a student B, who takes food for 26 days, pays ₹1180 as hostel charges. Find the fixed charges and the cost of food per day.7. A Part of monthly hostel charges is fixed and the remaining depends on the number of days one has takens food in the mess. When a student A takes food for 20 days she has to pay ₹1000 as hostel charges whereas a student B, who takes food for 26 days, pays ₹1180 as hostel charges. Find the fixed charges and the cost of food per day.7. A Part of monthly hostel charges is fixed and the remaining depends on the number of days one has takens food in the mess. When a student A takes food for 20 days she has to pay ₹1000 as hostel charges whereas a student B, who takes food for 26 days, pays ₹1180 as hostel charges. Find the fixed charges and the cost of food per day.
Answers
Answer:Fixed charge is Rs.400 and variable charge is Rs.30 per day
Explanation:Let the fixed charge be Rs. x and the variable charge be Rs. y per day.
It is given that when a student A takes food for 20 days she has to pay Rs. 1000 as hostel charges, therefore,
x+20y=1000
⇒x=1000−20y.....(1)
It is also given that when a student B takes food for 12 days she has to pay Rs. 1180 as hostel charges, therefore, we have:
x+26y=1180
Let us now substitute the value of x from equation 1 as follows:
x+26y=1180
⇒1000−20y+26y=1180
⇒−20y+26y=1180−1000
⇒6y=180
⇒y=
6
180
⇒y=30
Now, substitute the value of y in equation 1:
x=1000−(20×30)=1000−600=400
Therefore, x=400 and y=30.
Hence, the fixed charges is Rs. 400 and the variable charges is Rs. 30 per day.
Answer:
Hence, fixed charge = Rs 400
And charge per day = Rs 30
Step-by-step explanation:
Let x be the fixed charge of the food and y be the charge for food
per day.
According to the given information,
x + 20y = 1000 (1)
x + 26y – 1180 (2)
Subtracting equation (1) from equation (2), we obtain
6y = 180
y = 30
Substituting this value in equation (1), we obtain
x + 20 × 30 = 1000
x = 1000 – 600
x = 400
Hence, fixed charge = Rs 400
And charge per day = Rs 30