Question

a person on tour has 4200₹ for his expenses if he extend his tour for three days he has to cut down his daily expenses by ₹50 find the duration of the tour

Answer 1

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Explanation:Let the original duration of the tour be x days.

Then,

According to the Question,

⇒ 4200/x - 4200/(x + 3) = 70

⇒ 4200[1/x - 1/(x - 3)] = 70

⇒ (x + 3) - x/x(x + 3) = 70/4200

⇒ x(x + 3) = 180

⇒ x² + 3x - 180 = 0

⇒ x² + 15x - 12x - 180 = 0

⇒ x(x + 15) - 12(x + 15) = 0

⇒ (x + 15) (x - 12) = 0

⇒ x + 15 = 0 or x - 12 = 0

⇒ x = - 15, 12 (As x can't be negative)

⇒ x = 12

Hence, the original duration of the tour is 12 days.