matt sells washing machines to his customers at suçessive discounts of 29%,34%, and 15%.what is the single equivalent discount of the same?
Answers
Answer:
Given:
Three successive discounts are 29%, 34%, and 15%
To find:
A single equivalent discount
Solution:
A single equivalent discount is 60.17%.
We can find the discount by following the given steps-
We know that a seller can provide successive discounts to its customers that are calculated on the marked price of the item.
The successive discounts given by Matt are 29%, 34%, and 15%.
To calculate a single equivalent discount, we need to take the successive discounts two at a time.
If two successive discounts, x, and y, are given, a single equivalent discount=x+y-xy/100.
We will use this concept to calculate an equivalent discount.
In case 1, we will take 29% and 34% discounts to calculate the total discount.
The total discount due to 29% and 34%= 29+34-(29×34/100)
=63-9.86
=53.14%
Now in case 2, we will take 53.14% and 15% to calculate the total discount.
The total discount due to 53.14% and 15%= 53.14+15-(53.14×15/100)
=68.14-7.97
=60.17%
So, the total single equivalent discount is 60.17%.
Therefore, a single equivalent discount is 60.17%.