A store gets a bucket of eggs for $16.20 and sells a dozen eggs for $3.50. If there are 450 eggs in the bucket, by what percent

Question

Simora [160]

2 years ago

13

A store gets a bucket of eggs for $16.20 and sells a dozen eggs for $3.50. If there are 450 eggs in the bucket, by what percent

has the store increased the price per dozen eggs?

Mathematics

2 answers:

Jet001 [13] · Answer 1 · 2023-07-11T05:00:23+03:00

Jet001 [13]2 years ago

6 0

Price of a bucket of eggs $16.20
price for a dozen of eggs $3.50
number of dozens in 450 eggs:
450/12
=37.5
price of 37.5 will be:
37.5×3.50=$131.25
The percentage the store has increased the price will be:
(131.25-16.20)/16.20×100
=710%

KonstantinChe [14] · Answer 2 · 2023-07-11T06:36:51+03:00

The store increased the price of eggs per dozen by $\boxed{710 .185\:\%}$ .

Explanation:

The percentage (symbolized by %) is described as a portion of a quantity expressed as a number with respect to total quantity where the total quantity is taken to be $100$ .

The cost of the total eggs in the bucket is $\$\:16.2$ and there are $450$ eggs in the bucket.

A dozen is a grouping of twelve(in this case grouping of twelve eggs).

Here, $12$ eggs make up 1 dozen which implies 1 egg make up $\frac{1}{12}$ of a dozen. Therefore, $450$ eggs make up $450\cdot\dfrac{1}{12}$ of a dozen.

$\boxed{\begin{aligned}\text{Dozen of eggs in the bucket}&=450\cdot\frac{1}{12}\\&= 37.5 \text{ dozens}\end{aligned}}$

Therefore, the bucket consists of $37.5$ dozens of eggs.

The store gets a bucket of eggs for $\$\:16.20$ and one bucket has $37.5$ dozen of eggs then the store gets a dozen eggs at a price calculated as shown below.

$\boxed{\begin{aligned}\text{Cost price of a dozen of eggs}&=\frac{ (\$\:16.20)}{37.50}\\ &=\$\:0.432\end{aligned}}$

The store is selling the eggs at $\$\:3.50$ per dozen. So , the increased amount is calculated as the difference in the selling price and the cost price.