Question

Which box of cornflakes offers a better deal to the customer? Justify your answer with suitable reasoning.

Answer 1

Hint: First check the profit and losses over the both boxes then justify which of the given boxes is better. Use the formula of profit and loss to solve the problem.

Complete step-by-step answer:
Here, two boxes of cornflakes are given in which one weighs 500 g at cost of 175 Rs and the other box has the cornflakes of 300 g at the cost of 120 Rs.
Taking the first box,
The weight of the cornflakes present in the box is 500 g.
The cost of the cornflakes at 500 g is 175 Rs.
The cost of 1 gram of cornflakes is carried out as:
$
\Rightarrow {\text{cost}}\;{\text{of 1 gram}}\;{\text{cornflakes}} = \dfrac{1}{{500}} \times 175\\
 = \dfrac{{175}}{{500}}\\
 = 0.35\;{\text{Rs}}{\text{.}}
$
Hence for the first box the cost of the cornflakes for the one gram is 0.35 Rs.
Now, taking the second box,
The weight of the cornflakes present in the box is 300 g.
The cost of the cornflakes at 300 g is 120 Rs.
The cost of 1 gram of cornflakes is carried out as:
$
\Rightarrow {\text{cost}}\;{\text{of 1 gram}}\;{\text{cornflakes}} = \dfrac{1}{{300}} \times 120\\
 = \dfrac{{120}}{{300}}\\
 = 0.40\;{\text{Rs}}{\text{.}}
$
Hence for the second box the cost of the cornflakes for the one gram is 0.40 Rs.
Now, we will compare the cost of one gram of cornflakes of each box then we found that the cost of one gram of cornflakes in the first box is less than the cost of one gram corn flakes of the second box.
So we can say that the first box of cornflakes offers a better deal to the customer.
So, the correct answer is “Option I”.

Note: In this type of problem when we have the same thing in different quantities then sure to always find the cost of one unit of quantity. It will always provide accurate results for comparison.