Question

A person on tour has rupees 360 for s expenses if he extends is tour for 4 days he has to cut down s daily expenses by rupees 3 then the original duration of the tour is

Answer 1

Answer:

Step-by-step explanation:

Answer.

Amount with the person = Rs 360

Let the original number of duration of the tour be x days

Daily expenses per day = Rs 360/x

Given that his tour is extended for 4 days

Hence daily expenses per days = Rs 360/(x + 4)

Therefore

⇒ 360x + 1440 – 360x = 3(x2 + 4x)

⇒  1440 = 3x2 + 12x

⇒  3x2 + 12x – 1440 = 0

⇒  x2 + 4x – 480 = 0

⇒  x2 + 24x – 20x – 480 = 0

⇒  x(x + 24) – 20(x + 24) = 0

⇒  (x + 24)(x – 20) = 0

⇒  (x + 24) = 0 or (x – 20) = 0

∴ x = –24 or x = 20

Since x cannot be negative, x = 20

Hence his original duration of the tour is Rs 20