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 percentage discount needed (on listed price) for the competitor to price match?
a. $1.64 %$
b. $2.75 %$
c. $5.20 %$
d. $4.45 %$
e. $6.96 %$

Answer

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Answer

$2.99 %$

Steps

Step 1 ： $P_{1} = 978 (1 - 0.066) (1 - 0.113) (1 - 0.055)$

Step 2 ： $P_{1} = 978 (0.934) (0.887) (0.945)$

Step 3 ： $P_{1} = 778.22$

Step 4 ： $P_{2} = 950 (1 - 0.101) (1 - 0.054)$

Step 5 ： $P_{2} = 950 (0.899) (0.946)$

Step 6 ： $P_{2} = 807.37$

Step 7 ： $\frac{807.37 - 778.22}{978} = 0.0299$

Step 8 ： $2.99 %$