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 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. $6.96 \%$
Solution
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 ：\(\boxed{2.99\%}\)
