Question

A rise of 25 percent in the price of sugar, compels a man to buy 5 kg sugar less for Rs 200. Calculate the original price per kg of the sugar.

Answer 1

Let the original cost of the sugar be $C$
Then new cost $=\frac{125}{100}C=1.25C$
Let original amount of sugar bought $Skg$
Then new amount of sugar bought $(S-5)kg$
Since total cost remains same, we have
$C\times S=1.25C\times (S-5)=200$
Considering,
$CS=1.25CS-6.25C$
$=>6.25C=0.25CS=0.25\times 200=50$
$=>C=\frac{50}{6.25}=8$
And original cost of the sugar $=Rs8$