## In a hostel there is a fixed charge for the month and charge per day for food taken. Sonu took food for 20 days and paid Rs2000 while shyam

Question

In a hostel there is a fixed charge for the month and charge per day for food taken. Sonu took food for 20 days and paid Rs2000 while shyam paid Rs1750 after taking food for 15 days. Find the fixed charge and charge per day for the food

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7 days 2021-09-10T14:47:11+00:00 2 Answers 0 views 0

100 for Sonu

150 for Shyam

Step-by-step explanation:

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Fixed charges are Rs. 1000 and the cost of food per day is Rs. 100.

Let the fixed charges = y (in rupees) and the cost of food per day = x (in rupees).

Now, Swati takes food for 20 days and pays Rs. 3000.

That is, ……………..(1)

Also, Mansi takes food for 25 days and pays Rs. 3500.

That is, ………………(2)

Subtracting (1) from (2), we get,

i.e.

Substitute in (1), we get,

i.e.

i.e.

Hence, the fixed charges are Rs. 1000 and the cost of food per day is ₹100

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