In a city that has a 6 percent sales tax rate, Vinod purchases a cotto

Question

In a city that has a 6 percent sales tax rate, Vinod purchases a cotton shirt and a cashmere sweater. If the cost of the shirt, excluding sales tax, is $100, what was the total amount that Vinod paid for the shirt and sweater, including sales tax?

(1) The sales tax on the sweater is $19.20.
(2) The total sales tax is $25.20

(1) The sales tax on the sweater is $19.20.
(2) The total sales tax is $25.20

amanvermagmat · Answer

We are already given that price of shirt before sales tax = $100, and sales tax will be = 6% of 100 = $6. So the amount that Vinod paid for shirt including sales tax = $106. 
Lets assume price of sweater before sales tax = $x, so sales tax on sweater will be = 6% of x = $0.06x, and total price will be $1.06x. We need x to find our answer.

(1) We are given that 0.06x = 19.2. So we can find x, and can thus find the answer. Sufficient.

(2) Total sales tax = Sales tax on shirt + Sales tax on sweater = 6 + 0.06x = 25.2 (given)
So we get 0.06x = 19.2. Again we can find x, and thus find the answer. Sufficient.

Hence  D answer

Lowkya · Answer

Answer is D

From S1, we can get sweater price as 6% of sweater price is $19.20. So, we can get total amount too. We can conclude that S1 is sufficient.

From S2, $25.20 = 6% of 100 + (6% of sweater price = tax on sweater ). So, we can get total amount too. We can conclude that S2 is sufficient.

So, answer is D. Each statement alone is sufficient.

Sent from my iPhone using  GMAT Club Forum mobile app

push12345 · Answer

I) give cost of sweater and then we can calculate total amount including sale tax

II)will give total cost.will calculate sweater cost after deducting 100 from total.
Then total amount including sale tax

Both statements individually r sufficient
D

Posted from my mobile device

bumpbot · Answer

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In a city that has a 6 percent sales tax rate, Vinod purchases a cotto

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In a city that has a 6 percent sales tax rate, Vinod purchases a cotto

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