Question

A person on a tour has ₹9,600 for his expenses. If his tour is extended by 16 day's , he has to cut down his daily expenses by₹20 his original duration of tour had been​

Answer 1

let the original duration of tour is x

Hence daily expenses =9600 /x

Given tour extended more 16 day

Hence daily expenses= 9600/x+16

ATQ

$\frac{9600}{x} - \frac{9600}{x + 16} = 20 \\ 9600( \frac{x + 16 - x}{ {x}^{2} + 16x} ) = 20 \\ 480(\frac{16}{ {x}^{2} + 16} ) = 1 \\ 7680 = {x}^{2} + 16x \\ {x}^{2} + 16x - 7680 = 0 \\ {x}^{2} + 96x - 80x - 7680 = 0 \\ x(x + 96) - 80(x + 96) = 0\\ (x - 80)(x + 96) = 0 \\ x - 80 = 0 \\ x = 80$

original duration of tour had been

80 days.

Answer 2

Answer:

Hope this will help you !!!!!!!!!!!