Question

A calculator is on sale at 35% off. Taxes are 15% of the sale price. If the final price paid is $17.94, what was the advertised price at the store?​

Answer 1

Given :-

• Discount % = 35%
• Tax of SP = 15%
• Final Price = $17.94

To Find :-

• Original advertised price at the store ?

Solution :-

Let us Assume That, Original advertised price was $ X.

After Given 35% off, it was sold .

So,

→ SP = { AP * (100 - Off %) } / 100

→ SP = { X * (100 - 35) } / 100

→ SP = X * 65 / 100

→ SP = $(65X/100)

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Now, 15% of The SP was Tax Paid .

So,

→ Final Price = SP + 15% of SP

→ Final Price = SP[ 1 + (15/100) ]

→ Final Price = SP * (115/100)

Putting Value of SP here, we get,

→ Final Price = (65x/100) * (115/100)

Now, Final Price Paid is given $17.94 .

So,

☛ (65X/100) * (115/100) = 17.94

☛ (65X * 115) = 17.94 * 100 * 100

☛ 65 * 115 * X = 179400

☛ X = (179400)/(65*115)

☛ X = $24. (Ans).

Hence, The Advertised Price at the Store was $24.

Answer 2

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$\huge \tt {GIVEN:}$

• Calculator on sale at 35% off
• Taxes = 15%
• Final price = $17.94

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$\huge \tt {TO~FIND:}$

• The advertised price

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$\huge \tt {SOLUTION:}$

Let the advertised priced be $x

After 35% discount,

↪SP = {AP ×(100- Discount%) } /100

↪SP = {x × (100-35) }/100

↪SP = ${65x /100}

Now,

Tax=15% of P

____________________________

↪Final price = SP + 15% of Sp

↪FP = SP[1+(15/100)]

↪FP = SP × (115/100)

↪FP = (65x/100) × (115/100)

↪FP = $ 17.94

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Then,

↪(65x/100)×(115/100)= 17.94

↪(65x * 115) = 17.94×100×100

↪x = (179400)/(65×115)

↪x = $24

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