Kimberly77 wrote:
docabuzar wrote:
Henry purchased 3 items during a sale. He received a 20 percent discount off the regular price of the most expensive item and a 10 percent discount off the regular price of each of the other 2 items. Was the total amount of the 3 discounts greater than 15 percent of the sum of the regular prices of the 3 items?
(1) The regular price of the most expensive item was $50, and the regular price of the next most expensive item was $20
(2) The regular price of the least expensive item was $15
Attachment:
Henry discount on items.GIF
Hi
KarishmaBCould you kindly explain this question with Weight Average or Allegation method please?
Thanks
This is a 0 calculation 30 sec question in case you use weighted averages.
20% discount on the most expensive item
10% discount on the two cheaper ones
Discounts are given on regular prices (marked prices) of items so weights will be the regular prices.
When will the overall discount be 15%? When the weights of the two are equal (right in the centre of 20 and 10). This means that if the price of the most expensive item is equal to the price of the other two items combined, then overall discount will be 15%.
(1) The regular price of the most expensive item was $50, and the regular price of the next most expensive item was $20
This tells us that the price of the most expensive was $50 but the price of the next most expensive was $20 so the price of the cheapest item will be less than $20. Hence price of the two cheaper items will certainly be less than $50. Hence the average discount will be closer to 20% than to 10% i.e. the overall discount will be more than 15%. We can answer 'Yes'.
This statement alone is sufficient.
(2) The regular price of the least expensive item was $15
We don't know the prices of the other two items. Hence we cannot say what the overall discount will be.
This statement alone is not sufficient.
Answer (A)
Check this video for more on weighted averages and how to use them:
https://youtu.be/_GOAU7moZ2Q