A library has a fined charge for the first 3 days and an additional charge for each day thereafter Avanshi paid Rs. 27 for a book kept for seven days if fined charges are Rs. x and thereafter charges are Rs. y per day. Write the linear equation representing the above information.

A 4y + x = 27

B 3y + x = 27

C 3x + y = 27

D 5x + y = 27

E Insufficient information

Solution

Correct Answer: Option A

Charges for the first 3 days = x

Charge of the remaining days = y

No. of days remaining = 7 – 3

  = 4

∴total charge for reaming days = 4y

∴total charge for 7 days = x + 4y

∴equation ⇒ x + 4y = 27

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