Employees of a department store receive a 20% discount on

can u pls explain in more detail pls ?

I am getting strange results with this problem. pls tell me where I am going wrong.

let m pairs be discounted 40%, and n pairs be discounted 10%
For each pair,
Original price = 10
Discounted price = 6 and 9 resp
Dicounted price for emps = 0.8 * discounted price
= 4.8 and 7.2 resp.

from st (1):
100 = 4.8m + 7.2n and m + n = 16
Solving for n, I get n = 29/3 = 10 (since m and n have to be integers)
hence, m = 6

from st (2):
6m + 9n < 120 and m + n = 16
Again solving for n, I get n < 8. Hence m >= 8.

I am wondering, are these 2 statements talking abt the same thing ? (since I am getting 2 completely diff ans for m from 1 and 2

In (1), where do you get that the socks cost $100?

(1) He paid for the socks with a $100 bill.

oops realized my mistake .. from st (1), we should get
100 >= 4.8m + 7.2n ( we don't know if change was given or not)
solving we get, n <= 10
so, m >= 6

so after applying the correction, (1) and (2) is still INSUFF .. hence (E) ??

I don't understand the greater than or equal to sign here.

this is D..just use simple logic
if the total bill wihtout discout is $160...and if all the socks were 10% off it would $146...

then 20% employee discount would be roughly $120 dollar...

so...we can see definetly if he paid $100...then most of the socks bought were 40% (i.e greater than 8)

1) is sufficient
2) is sufficient

oh no! another mistake.
solved for n and got n < 8. since m + n = 16, I took m >= 8.
but if m = 8, then n = 8 and 6m + 9n will be = 120.
thus m cannot be = 8.
so m > 8 and n < 8.
thus (B) is the answer.
thanx for the correction kevincan.
i am losing out due to such oversights all the time

Thank YOU for trying the question!

OA=B

It will be B

Statement 1 - with 8 sock sat 40% discount and 8 socks with 10% discount, it would cost Sean $96.00. So when he pays with $100 it is not sure if he bought more 10% discount socks or 40% discount socks. So

Statement 2 - will tell that if he paid less than 120 dollars then he bought 40% socks more...