select the correct answer. a shopkeeper marks his goods at 40% above cost (the price he pays for the goods)…

select the correct answer. a shopkeeper marks his goods at 40% above cost (the price he pays for the goods) and then offers a 25% discount. if a jacket costs the shopkeeper $200, at what price is it sold? a. $180 b. $200 c. $210 d. $230

select the correct answer. a shopkeeper marks his goods at 40% above cost (the price he pays for the goods) and then offers a 25% discount. if a jacket costs the shopkeeper $200, at what price is it sold? a. $180 b. $200 c. $210 d. $230

Answer

Explanation:

Step1: Calculate the marked - up price

The cost price of the jacket is $C = 200$. The marked - up percentage is $40%=0.4$. The marked - up price $M$ is calculated as $M=(1 + 0.4)\times C$. Substituting $C = 200$, we get $M=(1 + 0.4)\times200=1.4\times200 = 280$.

Step2: Calculate the selling price after discount

The discount percentage is $25% = 0.25$. The selling price $S$ is calculated as $S=(1 - 0.25)\times M$. Substituting $M = 280$, we get $S=0.75\times280=\frac{3}{4}\times280 = 210$.

Answer:

C. $210$