A daily wage labourer was engaged for a certain
number of days for 5750, but being absent on
some of those days he was paid only 5000. What
was his maximum possible daily wage?

Question

Accepted Answer

To find the maximum possible daily wage of the labourer, we calculate the Highest Common Factor (HCF) of the total amount agreed upon ($$5750$$) and the amount paid ($$5000$$).

### Steps:
1. The HCF represents the largest number that divides both $$5750$$ and $$5000$$ without leaving a remainder. This is the maximum daily wage since it ensures that the wages for the absent days are also divisible by this amount.
2. Using the formula for HCF, we find:
   $$
   	ext{HCF}(5750, 5000) = 250
   $$

Thus, the maximum possible daily wage is **₹250**.

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