Question

Shona is buying a rug for her room. Store A has the rug for $45 with a 10% discount. Store B has the same rug for $46 and is offering a $10 off coupon. The sales tax is 6% on either purchase. If Shona only has $40 to spend, which store will she purchase the rug from, and how much will she have left over? Shona can afford the rug in store A. She will have $2. 93 left over. Shona can afford the rug in store B. She will have $1. 84 left over. Shona can afford the rug in store B. She will have $2. 93 left over. Shona can afford the rug in store A. She will have $1. 84 left over.

Answer 1

Percent is a part or amount in the given hundred. The value of the whole in the fraction part of 100 is percentage value of the number. The Shona can afford the rug in store B. She will have $1. 84 left over.

Given information-

Store A has the rug for $45 with a 10% discount.

Store B has the same rug for $46 and is offering a $10 off coupon.

The sales tax is 6%.

Total money is $40.

Percentage

Percent is a part or amount in the given hundred. The value of the whole in the fraction part of 100 is percentage value of the number.

a) The price of the rug at store A,

The price of the rug at store A after the 10 percent discount,

$Pa=45-\dfrac{45}{100}\times10$

$P_a=45-4.5$

$P_a=40.5$

The price of the rug at store A after the 10 percent discount is 40.5. The price of the rug at store A after the 6 percent sales tax.

$P_a=40.5+\dfrac{40.5}{100} \times6$

$P_a=42.93$

b) The price of the rug at store B,

The price of the rug at store B after the $10 off coupon

$Pa=46-10$

$P_a=36$

The price of the rug at store A after the $10 off coupon is 35. The price of the rug at store B after the 6 percent sales tax.

$P_a=36+\dfrac{36}{100} \times6$

$P_a=38.16$

Thus Shona buy rug from the store B.

The money she will left over,

$=40-38.16=1.84$

Thus the Shona can afford the rug in store B. She will have $1. 84 left over.

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