A motor bike was originally listed at $769.99. The price was first discounted to $550.54, followed by a final discounted price of $449.79. What was the single equivalent rate of discount at the final price? (leave answer to 2 decimal places)
Answers
Given : A motor bike was originally listed at $769.99.
The Price was first discounted to $550.54, followed by a final discounted price of $449.79.
To Find : What was the single equivalent rate of discounted at the final price
Solution:
Original Price = $769.99
Final Price = $449.79
Net Discount = 769.99 - 449.79
= 320.20 $
single equivalent rate of discounted = (320.2/769.99) * 100
= 41.585 %
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Question :- A motor bike was originally listed at $769.99. The price was first discounted to $550.54, followed by a final discounted price of $449.79. What was the single equivalent rate of discount at the final price ?
Solution :-
→ Original price of motor bike = $769.99 .
→ Price after first discount = $550.54 .
so,
→ first discount = 769.99 - 550.54 = $219.45 .
then,
→ % discount = (219.45 * 100) / 769.99 = 28.5% .
similarly,
→ Price of motor bike after first discount = $550.54 .
→ Price after second discount = $449.79 .
so,
→ second discount = $550.54 - $449.79 = $100.75 .
then,
→ % discount = (100.75 * 100) / 550.54 = 18.3% .
therefore,
→ Single equivalent rate of discount = -A - B + AB/100 = (-28.5) - (18.3) + (28.5 * 18.3)/100 = -46.8 + 5.2155 = -41.58 = 41.58% (Ans.)
Hence, the single equivalent rate of discount at the final price is 41.58% .
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