No of Hardcover books

[gmataspirenew]

Juan bought some paperback books that cost $8 each and some hardcover books that cost 25$ each.

If Juan bought more than 10 Paperback books, how many hardcover books did he buy?

 

1) The total cost of the hardcover books that Juan bought was atleast $150

2) The total cost of all the that Juan bought was

[supersuj]

IMO, C

 

no. of paperback books = p

no. of hardcover books = h

p>10

total cost = 8p+25h

 

statement 1-->

we know that h is greater than or equal to 6, but we dont know the exact value of h...INSUFFICIENT

 

statement 2-->

p must be min. 11 books..so spent a minimum of 11*8= 88 dollars..we have no info about h...INSUFFICIENT

 

Combining (1) and (2),

if we take minimum values of p and h

p=11, h=6

we get total cost as 11*8 + 25*6 = 238 dollars , which is less than 260

lets take

p=11 , h=7

we get total cost as 11*8 + 25*7 = 263 dollars..NOT possible

 

So h must be equal to 6...SUFFICIENT

[genius_in_the_gene]

The total cost of all the that Juan bought was

Paper back=p

Hard cover=h

 

Total cost = 8p+25h

 

p>10

 

1)

25h >= 150

 

Not sufficient . h could be 6 or more than that

 

2) 8p+25h

if p=11

25h

If we increase p, h will be less than 7.

Hence h10

 

Not sufficient

 

From 1 and 2

 

h>=6 and h

 

Hence h=6

 

ANS C