Question

A man was engaged for a certain number of days for ₹404.30 but because of being absent for
some days he was paid only ₹279.90. His daily wages cannot exceed by:

Answer 1

Given,

• A man was engaged for a certain number of days for $404.30.
• being absent he was paid only $279.90.

To find: his daily wages cannot exceed by?

explanation:

By Euclid's theorem,

                                   $a = bq + r$

      where, a is b are two positive integers and q and r are two unique integers. a called as dividend, b called as divisor, q called as quotient and r called as remainder.

by formula, we get the following equations,

                                         $404.30 = 279.90$ × $1$ $+ 124.40$

                                         $279.90 = 124.40$ × $2$ $+ 31.10$

                                         $124.40 = 31.10$ × $4$ + $0$

our procedure has been completed and the divisor at this point is $31.10$ H.C.F. ( $404.30$, $279.90$) = $31.10$

His daily wages is H.C.F. of $404.30$ and $279.90$, which is $31.10$.