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02 Sep 2022, 05:35
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Bookmarks
D
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Difficulty:
35%
(medium)
Question Stats:
70% (01:31) correct
30%
(01:34)
wrong
based on 43
sessions
History
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Not Attempted Yet
During a certain day, a bookshop sold 100 used books and 50 new books. Is the revenue on new books sold greater than the revenue on used books sold?
(1) The price for any new book is more than twice the price for the most expensive used book.
(2) The average price for all of the new books is more than twice the average price for all of the used books.
(1) The price for any new book is more than twice the price for the most expensive used book.
(2) The average price for all of the new books is more than twice the average price for all of the used books.
02 Sep 2022, 06:21
Kudos
Bookmarks
Bunuel
Old books = 100
New Books = 50
(1) The price for any new book is more than twice the price of the most expensive used book.
Let the price of the most expensive old book be 20
Let the price of the least expensive new book be 41 (could be anything greater than 40)
Comparing the revenues
Old Books x Price/Book ------ New Books x Price/Book
Considering all old books are sold at the most expensive price and all new books are sold at the least expensive price
=> 20 x 100 ------ 50 x 41
=> 2000 ------ 2050
With this comparison, the revenue would be greater for new books
--> Sufficient
(2) The average price for all of the new books is more than twice the average price for all of the used books
Let the average price of the old book be 20
Let the average price of the new book be 41 (could be anything greater than 40)
Comparing the revenues
Old Books x Average Price ------ New Book x Average Price
=> 20 x 100 ------ 50 x 41
=> 2000 ------ 2050
With this comparison, the revenue would be greater for new books
--> Sufficient
Option D
