Mathematics, 05.10.2019 03:50 kotetravels10

The stores below each have the same snowboard for an original price of $189.59. at which store can you get the snowboard for the lowest price? store a: sale of 30% off and a successive discount of 10% off. store b: sale of 20% off and a successive discount of 20% off. store c: sale of 40% off. a. all of the stores have the same discounted price. b. you can get the lowest price at store a. c. you can get the lowest price at storeb. d. you can get the lowest price at store c.

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Answers

The correct option is $\boxed{\text{\bf option D}}$ i.e, $\boxed{\text{\bf A person can get the lowest price at store C}}$ .

Further explanation:

It is given that there are three stores each have the same snowboard for an original price $\$\ 189.59$ .

Store sells the snowboard with $30\%$ off and a successive discount of $10\%$ off.

Store sells the snowboard with $20\%$ off and a successive discount of $20\%$ off.

Store sells the snowboard with $40\%$ off.

First we will calculate the selling price for store .

The cost of the snowboard is $\$\ 189.59$ and store sells it with $30\%$ off and a successive discount of $10\%$ off.

The discount given for $30\%$ off is calculated as follows:

$\boxed{\begin{aligned}30\%\text{ of}\ 189.59&=\dfrac{30}{100}\cdot 189.59\\&=0.3\cdot 189.59\\&=56.877\end{aligned}}$

So the store provide $\$\ 56.877$ discount for $30\%$ off.

The discounted price is calculated as follows:

$\boxed{189.59-56.877=132.71}$

Therefore, the discounted price is $\$\ 132.71$ .

Now we will calculate the discounted price for $10\%$ on the price $\$\ 132.71$ .

$\boxed{\begin{aligned}10\%\text{ of}\ 132.71&=\dfrac{10}{100}\cdot 132.71\\&=0.3\cdot 132.71\\&=13.271\end{aligned}}$

So the store provide $\$\ 132.71$ discount for $10\%$ successive discount.

Therefore, the total discounted price of the snowboard of $30\%$ off and a successive discount of $10\%$ off is calculated as follows:

$\boxed{132.71-13.271=119.44}$

The selling price of snowboard at store is $\bf \$\ 119.44$ .

Now we will calculate the selling price for store .

The cost of the snowboard is $\$\ 189.59$ and store sell it with $20\%$ off and a successive discount of $20\%$ off.

We will calculate the discounted price for $20\%$ off.

$\boxed{\begin{aligned}20\%\text{ of}\ 189.59&=\dfrac{20}{100}\cdot 189.59\\&=0.2\cdot 189.59\\&=37.92\end{aligned}}$

So the store provide $\$\ 37.92$ discount for $20\%$ off that means the discounted price of the snowboard for $20\%$ off is calculated as follows:

$\boxed{189.59-37.92=151.67}$

Now we will calculate the discounted price for $20\%$ on the price $\$\ 151.67$ .

$\boxed{\begin{aligned}20\%\text{ of}\ 151.67&=\dfrac{20}{100}\cdot 151.67\\&=0.2\cdot 151.67\\&=30.334\end{aligned}}$

So the store provide $\$\ 30.334$ discount for $20\%$ successive discount.

Therefore the total discounted price of the snowboard of $20\%$ off and a successive discount of $20\%$ off is calculated as follows:

$\boxed{151.67-30.334=121.336}$

The selling price of snowboard at store is $\bf \$\ 121.336$ .

Finally we will calculate the selling price for store .

The cost of the snowboard is $\$\ 189.59$ and store sell it with $40\%$ off.

The discounted price is calculated as follows:

$\boxed{\begin{aligned}40\%\text{ of}\ 189.59&=\dfrac{40}{100}\cdot 189.59\\&=0.4\cdot 189.59\\&=75.836\end{aligned}}$

The discounted price given by store is calculated as follows:

$\boxed{189.59-75.836=113.75}$

The selling price of snowboard at store is $\bf \$\ 113.75$ .

From the above calculation it is concluded that if a person purchase the snowboard then he can get lowest price from store .

Therefore, the correct option is $\boxed{\text{\bf option D}}$ i.e, $\boxed{\text{\bf A person can get the lowest price at store C}}$ .

Learn more:

1. Problem on percentage in a survey:

2. Problem on unit conversion factor:

3. Problem on to find the value in pounds:

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Percentage

Keywords: Percentage, stores, original price, $189.59 ,lowest price, discount, 20%, 30%, snowboard, selling price, cost, successive discount, profit, loss, cost price, selling price, discounted price.

Answer from: Quest

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

Answer from: Quest

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