# WHY SECOND STATEMENT IS NOT SUFFICIENT

Max purchased a guitar for a total of \$624, which
consisted of the price of the guitar and the sales tax.
Was the sales tax rate greater than 3 percent?
(1) The price of the guitar that Max purchased was
less than \$602.
(2) The sales tax for the guitar that Max purchased
was less than \$30.

Hello Shilpi,

From the question data, we understand that the total cost of the guitar (\$624) = Price of the guitar + Sales tax.

Using Statement 1 alone:

If the price of the guitar is \$602, then the sales tax = \$22 which is more than 3% of \$602 ( 3% of \$602 is \$18.06).

Hence we may answer with a definite ‘YES’ that the sales tax rate was more than 3%.

Therefore, answer cannot be B, C or E (which is definitely an added reason which reinforces the idea that the second statement alone is not sufficient to solve the problem.) However,

Using Statement 2 alone:

Sales Tax = \$30. Now, given the sales tax, we will have to work backward and find the price of the guitar.

If the price of the guitar is \$1000, then \$30 is exactly 3% of \$1000; if the price of the guitar is less than \$1000, then the sales tax rate becomes more than 3%; and if the price of the guitar is less than \$1000, the sales tax rate goes down below 3%.

So, now tell me, is the second statement sufficient to answer the question asked??

Thanks,

Arvind BT