SOLUTION: A television set that originally cost $1955 was reduced in price by successive discounts of 5%, 8% and 24%. What was the equivalent single rate of discount?

Algebra.Com
Question 1208865: A television set that originally cost $1955 was reduced in price by successive discounts of 5%, 8% and 24%. What was the equivalent single rate of discount?
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
A television set that originally cost $1955 was reduced in price by successive discounts
of 5%, 8% and 24%. What was the equivalent single rate of discount?
~~~~~~~~~~~~~~~~~~~~~ 

Let X be the original cost, "e" be the equivalent discount for these three 
successive discounts, as a decimal value.


Then 

    (1-e)X = (1-0.05)*(1-0.08)*(1-0.24)X.


Cancel X in both sides.  You will get

    1 - e = 0.95*0.92*0.76 = 0.66424,

    e = 1 - 0.66424 = 0.33576.


The equivalent discount is 0.33576,  or  33.576%.    ANSWER

Solved.

The answer does not depend on the original cost value, which is $1995 in this problem.



RELATED QUESTIONS

A television set that originally cost $2,340 was reduced in price by successive discounts (answered by richwmiller)
A television set that originally cost $2340 was reduced in price by successive discounts... (answered by richwmiller)
A television set that originally cost $5500 was reduced in price by successive discounts... (answered by ikleyn)
By receiving two successive discounts, a dealer bought merchandise for $9 that was listed (answered by AnlytcPhil)
Appliance Store realizes a mark-up of PhP3,450 in selling TV sets. If its items are sold... (answered by Theo)
appliance store realizes a mark-up of php 3450 in selling tv sets if it's items are sold... (answered by CPhill)
A television set priced at $400.00 was reduced 23% during a weekend sale. In addition... (answered by checkley79)
On Friday, a snowboard originally priced at $100 was discounted $50. On Monday, that sale (answered by ikleyn,math_helper)
A television set costing $950 was marked up by 60% of the selling price. During a... (answered by ankor@dixie-net.com)