Question

A reduction of $10\%$ in the price of sugar enables a housewife to buy $6.2$ kg more for Rs. $1116$. The reduced price per kg is

Answer 1

Let the original price of sugar be Rs. $10$.

	Initial	Final
Price	$10$	$9$
Quantity	$9$	$10$

Hence, the quantity increase from $9$ to $10$, so an increase of $\frac{1}{9}$ the original value.
$\frac{1}{9}\times$ original quantity $=6.2$
Original quantity $=6.2$ $\times$ $9$ $=55.8kg$
Original price $=\frac{1116}{55.8}$
$=Rs.20perkg$
Reduced price $=0.9$ x $20$ $=Rs.18perkg$