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Pair of Linear Equations in Two Variables | Pair of Linear Equations in Two Variables - Exercise 3.3

Question 24

A shopkeeper given books on rent for reading. She takes a fixed charge for the first two days and an additional charge for each day thereafter. Latika paid ₹22 for a book kept for six days, while Anand paid ₹16 for the book kept for days. Find the fixed charges and the charge for each extra day.

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Let the fixed charges for first two days = ₹x

Let the additional charges per day after 2 days = ₹y

Latika paid ₹22 for six days.

2 days fixed charges + (6 – 2) days charges = 22

⇒ x + 4y = 22

Anand paid ₹16 for books kept for four days.

2 day’s fixed charges + (4 – 2) day’s additional charges = 16

⇒ x + 2y = 16 …(ii)

⇒ y = ₹ 3 per day

Now, x + 2y = 16 (From (ii) )

⇒ x + 2(3) = 16

⇒ x = 16 – 6 ⇒ x = 10

So, the fixed charges for first 2 days = ₹10

The additional charges per day after 2 days = ₹3 per day

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Our top 5% students will be awarded a special scholarship to Lido.

subject-cta

Question 24

A shopkeeper given books on rent for reading. She takes a fixed charge for the first two days and an additional charge for each day thereafter. Latika paid ₹22 for a book kept for six days, while Anand paid ₹16 for the book kept for days. Find the fixed charges and the charge for each extra day.

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

Let the fixed charges for first two days = ₹x

Let the additional charges per day after 2 days = ₹y

Latika paid ₹22 for six days.

2 days fixed charges + (6 – 2) days charges = 22

⇒ x + 4y = 22

Anand paid ₹16 for books kept for four days.

2 day’s fixed charges + (4 – 2) day’s additional charges = 16

⇒ x + 2y = 16 …(ii)

⇒ y = ₹ 3 per day

Now, x + 2y = 16 (From (ii) )

⇒ x + 2(3) = 16

⇒ x = 16 – 6 ⇒ x = 10

So, the fixed charges for first 2 days = ₹10

The additional charges per day after 2 days = ₹3 per day

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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