souvik101990 wrote:

A store sells only two types of shirts - branded and non-branded. All the branded shirts are priced at $60 per unit and all the non-branded shirts are priced at $20 per unit. On a certain day, the store sold a total of 30 shirts. What is the number of branded shirt that the store sold on that day?

1. The store sold more than 20 branded shirts on that day.

2. On that day, the total sales from shirts were between $1604 and $1674.

Answer Choices

A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D) EACH statement ALONE is sufficient.

E) Statements (1) and (2) TOGETHER are NOT sufficient.

Statement (1) ALONE is NOT sufficient,

Only option (B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient as can be seen in the table belowB U B Price Unbranded Price Total

30 Branded and 0 Unbranded Total Price is (30*60) + 0 $1800

29 Branded and 1 Unbranded Total Price is (29*60) + (20*1) $1760

28 Branded and 2 Unbranded Total Price is (28*60) + (20*2) $1720

27 Branded and 3Unbranded Total Price is (27*60) + (20*3) $1680

26 Branded and 4 Unbranded Total Price is (26*60) + (20*4) $1640

25 Branded and 5 Unbranded Total Price is (25*60) + (20*5) $1600

24 Branded and 6 Unbranded Total Price is (24*60) + (20*6) $1560

Only Branded quantity of 26 and Unbranded quantity of 4 satisfy condition of statement (2)Hence option

B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficien is the answer

_________________

Kindly press the +1Kudos if you like the explanation. Thanks a lot!!!