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?

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Answer 1

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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