Question

A man, after a tour, finds that he had spent every day as many rupees as the number of days he had been on tour. How long did his tour last, if he had spent in all $Rs.1,296$?

Answer 1

Let the total number of days he spent at the tour be $a$
Then, the amount of money he spent each day is also $Rs.$ $a$
So, total amount spent in the entire tour $=Rs.$ $a\times a=a^2=Rs1296$
$=>a=\sqrt{1296}=36$
Hence, the tour was for $36$ days.