SOLUTION: The price of a product is reduced by 12%. By what percentage must the sales grow, if the profit should be the same. Please help by explanation or just a rule

Algebra.Com
Question 370472: The price of a product is reduced by 12%. By what percentage must the sales grow, if the profit should be the same.
Please help by explanation or just a rule

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The price of a product is reduced by 12%. By what percentage must the sales grow, if the profit should be the same.
Please help by explanation or just a rule
------------------------
Assume original price was "p" and # sold was "x"
Then original revenue was px.
------
Reduced price = 0.88p
---
Equation:
New revenue must equal old revenue
(0.88p)y = px where y is the new number of items sold
y = (px)/(0.88p)
y = x/0.88
y = 1.1364 x
----
The number of items sold must increase by 13.64%
===============================
Cheers,
Stan H.
=========

RELATED QUESTIONS

The price of a product is reduced by 12%. By what percentage must the sales grow, if the... (answered by amoresroy)
The price of a product is reduced by 30% . By what percentage should it be increased to... (answered by vksarvepalli)
The price of a computer is reduced by 10%. by what percentage must the new price be... (answered by Alan3354)
A product currently sells for $12 per unit. The variable cost are $4 per unit, and 10,000 (answered by lynnlo)
The percentage profit earned by selling an article for Tk. 1920 is equal to the... (answered by MathTherapy)
A woman bought 130kg of tomatoes for ₦52,000. She sold half of the tomatoes at a profit (answered by ankor@dixie-net.com)
If the price of a $15 T-shirt is reduced by 1/3, how much sales tax must be paid on the... (answered by elima)
If the price of a $15 T-shirt is reduced by 1/3, how much sales tax must be paid on the... (answered by Paul)
If the price of a $15 T-shirt is reduced by 1/5, how much sales tax must be paid onthe... (answered by elima)