Question

A person on tour has Rs. 360 for his daily expenses. If he exceeds his tour programme by four days, he must cut down his daily expenses by Rs. 3 per day. Find the no. of days of his tour programme.

Answer 1

The no of days will be 20

Step-by-step explanation:

Let the no of days be x

Let the daily expenditure be y

So the total amount he has will be the product of the no of days and daily expenditure.

That gives  xy = 360

Then from here we get y= 360/x       ⇒ eq 1

So the condition given  states

{x+4} {y-3} = 360

i.e.   xy-3x+4y-12 = 360

360-3x + 4*360/x -12= 360   {from eq 1 }

-3x +1440/x = 12

-3x² =1440=12x

3x² + 12x -1440 = 0

x² +4x - 48= 0

Factorization gives

x= 20

Hence we got it :]