Question

A person has enough money to buy $18kg$ of sugar at the rate of $Rs.25$ per kg. If the price of sugar is reduced by $Rs.5$ per kg, how many kilograms of sugar can he buy now?

Answer 1

Given as :The initial quantity of sugar $=18kg$

The initial rate $=Rs.25perkg$

So, The money spend on $18kg$ at rate $Rs25perkg=Rs25\times 18=Rs450$

The price of sugar reduced by Rs 5 per kg

So, The final rate of sugar $=Rs.25perkg-Rs5perkg=Rs20perkg$

Now, Applying unitary method

$\because$ The money spend on $18kg$ at rate $Rs.25perkg=Rs.450$

$\therefore$ The money spend on $xkg$ at rate $Rs.20perkg=Rs25x$

So,$Rs.20x=Rs.450$

$\Rightarrow x=\frac{450}{20}=22.5kg$

Hence, The quantity of sugar bought at the rate of $Rs.20perkg$ is $22.5kg$