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? (WITH STEPS)
Answers
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Step-by-step explanation:
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)
_______________
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.