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

$\boxed{2.99\%}$

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 ：$\boxed{2.99\%}$