Question

A typical bag of rice weighs 67.5 pounds. Due to some new rules, the industry reduces
the weight of the bag by 20%. What is the weight of the new rice bag?
F. 14
G. 44
H. 48
I. 54
J. 66

Answer 1

Hint: In this problem, first we have to find the weight that is reduced from the previous weight.
Since the percentage of the reduction of weight is given, so we need to multiply the original
weight with the percentage reduction of the weight. From that we will get the total amount of the
bag. After that we have to subtract that amount from the original weight which will give the
weight of the new rice bag

Complete step by step solution:
It is given that the original weight of the rice bag is 67.5 pounds.
Since the new rice bag contains 20% less weight than the original weight of the rice bag, now,
we have to calculate the weight that is reduced from the original weight of the rice bag.
The weight that reduced
$\begin{array}{c} = 20\% \;{\rm{of}}\;67.5\\ = 67.5 \times
\dfrac{{20}}{{100}}\\ = \dfrac{{27}}{2}\end{array}$
Thus, the reduced weight is $\dfrac{{27}}{2}$.
Now, we have to calculate the new weight of the rice bag.
So, subtracting the reduced weight from the original weight.
New weight
$\begin{array}{c} = 67.5 - \dfrac{{27}}{2}\\ = \dfrac{{135 - 27}}{2}\\ =
\dfrac{{108}}{2}\\ = 54\end{array}$
Therefore, the new weight of the rice bag is 54 pounds.
Hence, the correct option is C.

Note: Make sure to express the weight in the unit which is given.That is if the weight is given in pounds express it in pounds else express it in the unit as specified in the question