By what percentage must the sales grow to maintain the same profit?

  • Thread starter chawki
  • Start date
In summary, if the price of a product is reduced by 12%, the sales must grow by 13.64% in order for the profit to remain the same. This can be calculated by setting the original revenue equal to the new revenue with increased sales and solving for the percentage increase in sales.
  • #1
chawki
506
0

Homework Statement


The price of a product is reduced by 12%.

Homework Equations


By what percentage must the sales grow, if the profit should he the same ?

The Attempt at a Solution


let's assume the original price is P, and the number sold was x, then the original revenue is P*x.

reduction of 12% means that the new price is 0.88*P, Thus the new revenue is 0.88*P*x
 
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  • #2
chawki said:

Homework Statement


The price of a product is reduced by 12%.

Homework Equations


By what percentage must the sales grow, if the profit should he the same ?

The Attempt at a Solution


let's assume the original price is P, and the number sold was x, then the original revenue is P*x.

reduction of 12% means that the new price is 0.88*P, Thus the new revenue is 0.88*P*x
That would be the revenue if the number of sales didn't change. The problem asks you to find the percent increase in sales that must occur so that the profit (really the revenue) will stay the same.

Write an equation that sets the old revenue, Px, equal to the revenue at the lower price but with increased sales.
 
  • #3
ahh ok

P*x = 0.88*P*y
y = 1.1363x
 
  • #4
That looks fine, but you still need to answer the question - By what percentage must the sales grow, if the profit should he the same ?
 
  • #5
yeah i think it's 13.63%
 
  • #6
right?
 
  • #7
Rounded to 2 decimal places it would be 13.64%.
 

Related to By what percentage must the sales grow to maintain the same profit?

What is the concept of "getting the same profit"?

"Getting the same profit" refers to the idea of maintaining a consistent level of profit over a period of time. This means that your income and expenses are balanced, resulting in a steady stream of profits.

Why is it important to get the same profit?

Having a consistent level of profit allows for better financial planning and stability. It also ensures that your business is sustainable in the long term.

What factors can affect getting the same profit?

There are several factors that can impact your ability to maintain the same profit, such as changes in market demand, competition, and economic conditions. Additionally, internal factors such as operational costs and efficiency can also play a role.

How can a business ensure it gets the same profit?

To ensure a consistent level of profit, businesses can implement strategies such as cost-cutting measures, diversifying their product or service offerings, and continuously monitoring and adjusting their financial plans.

What are the potential risks of not getting the same profit?

If a business is unable to maintain the same profit, it may struggle to cover expenses and may eventually face financial difficulties. This can lead to layoffs, reduced investments in growth, and even bankruptcy in extreme cases.

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