Problem

A electronic store lists an article for $\$ 978$ less $6.6 \%, 11.3 \%$ and $5.5 \%$. A competitor carries the same article for $\$ 950$ less $10.1 \%$ and $5.4 \%$ and promises to price match. What is the additional amount of discount needed for the competitor to price match?
a. $\$ 26.10$
b. $\$ 66.07$
c. $\$ 42.26$
d. $\$ 49.44$
e. $\$ 15.63$

Answer

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Answer

\(\boxed{42.26}\) is the additional amount of discount needed for the competitor to price match (option c)

Steps

Step 1 :Calculate the final price of the article at the electronic store after applying all the discounts: \(978 \times (1 - 0.066) \times (1 - 0.113) \times (1 - 0.055) = 765.66916818\)

Step 2 :Calculate the final price of the article at the competitor's store after applying their discounts: \(950 \times (1 - 0.101) \times (1 - 0.054) = 807.9313\)

Step 3 :Find the difference between the two final prices to determine the additional discount needed for the competitor to price match: \(807.9313 - 765.66916818 = 42.26213182\)

Step 4 :\(\boxed{42.26}\) is the additional amount of discount needed for the competitor to price match (option c)

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