guddo
Andrew and Clair each purchased a book, and the list prices of their books were the same. Andrew purchased his book at a store where the regular price of books is 20 percent less than their list price, and Clair purchased her book at a store where the regular price of books is 10 percent less than their list price. If both Andrew and Clair received a discount off the regular price of the book each of them purchased, were the discounted prices of their books the same?
(1) Andrew received a discount of 10 percent off the regular price.
(2) Clair received a discount of 20 percent off the regular price.
Attachment:
2024-01-24_14-58-51.png
Let the list price be L.
Regular price becomes \(.8\)L and \(.9\)L for Andrew and Clair respectively.
(1) Andrew received a discount of \(10\) percent off the regular price.So Andrew's buying price becomes \(= .9*.8\)L
However we know nothing of Clair.
INSUFF.(2) Clair received a discount of \(20\) percent off the regular price.So Clair's buying price becomes \(= .8*.9\)L
However we know nothing of Andrew.
INSUFF.1+2
.\(9*.8\)L \(=\) \(.8*.9\)L
We can see Andrew's and Clair's buying price is same.
SUFF.Note: Question is not asking whether they received the same amt of discount. Rather after their respective discounts did they pay the same price or not?
Ans C
Hope it's clear.