Question

A lending library has a fixed charge for the first two days and an additional charge for each day thereafter. Reema paid ₹ 30 for a book kept for 6 days, while Smita paid ₹ 40 for the book kept for 8 days. Find the fixed charge and the charge for each extra day.

Answer 1

Answer:

Fixed charge for 2 days =10

Extra charge per day = 5

Step-by-step explanation:

Let the fixed charge =x

Extra charge = y

Then acc

For Reema ,

x+4y=30

For Smita,

x+6y=40

On solving x=10;

y=5

Answer 2

Answer :-

Fixed charge = ₹ 10

Additional charge = ₹ 5

Explanation :-

Let the fixed charge for 2 days = ₹ x

Let the additional charge for each day thereafter = ₹ y

According to the question,

x + 4y = 30 ........... (i)

x + 6y = 40 ........... (ii)

Subtracting equation (i) from (ii),

(x + 6y - 40) - (x + 4y - 30) = 0

=> x + 6y - 40 - x - 4y + 30 = 0

=> 2y - 10 = 0

=> 2y = 10

=> y = 10/2

=> y = 5

Putting y = 5 in equation (i),

x + 4y = 30

=> x + 4(5) = 30

=> x + 20 = 30

=> x = 30 - 20

=> x = 10

•°• Fixed charge for first 2 days = ₹ 10

Additional charge for each day = ₹ 5

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