|
Question 295711: A shopkeeper gives two successive discounts of 8% and 12%. What is overall discount? plz hlp me ans is 33.33%
Found 2 solutions by jim_thompson5910, rfer:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Let 'x' be the original price. If you apply an 8% discount, you're basically subtracting 8% of the original price from the original price. In other words, you're doing 
So after an 8% discount, the new price is  dollars. Now apply the 12% discount using similar logic to get 
So after applying the 8% discount, then the 12% discount, the final sale price is  . Subtract the coefficient from 1 to get  and then multiply that result by 100 to get 19.04%
So the overall discount is 19.04%
---------------------------------------------
Example: Say an item originally costs $100. Apply the 8% discount to get  (note: think of it as subtracting $8, 8% of $100, from $100). So after the first discount, the sale price is $92. Now apply the 12% discount to the new price of $92 to get  . This means that after the two discounts, the final price is $80.96
Instead of taking two steps to find the final discount, we can take a shortcut and simply apply the overall discount of 19.04% (we should get the same answer if we did things right). So applying the discount of 19.04% to the original price of $100 gets us  which is what got earlier. So this example helps support our answer. Try other values to confirm for yourself that this is the right discount. Try to incorporate real world values (ie prices you might see in the grocery store) to help you see that it works. As you can see, it's very useful to be able to combine multiple discounts into one to save time and avoid errors.
Answer by rfer(16322) (Show Source):
You can put this solution on YOUR website! pick an amount like $10, take 8% of it.
That equals $.90
10-.90=9.10
9.10*.12=1.09
total discount is $1.99
1.99/10=.199 or 19.9%
|
|
|
| |
