Question

Q. A used car dealer could only sell two cars over the weekend due to bad weather. He sold a sedan at $15\%$ profit and a minivan at $20\%$ profit. The selling price of the sedan is $25\%$ more than the selling price of the minivan. What is the approximate profit percent from the sales of both the cars together?

• A.
  $14.57\%$
• B.
  $17.73\%$
• C.
  $16.87\%$
• D.
  $17.17\%$

Answer 1

The correct option is D

$17.17\%$
Explanation:

Let the CP of the sedan be = S and the CP of the minivan be = M
→ Their SP will be:
Sedan = 1.15S
Minivan = 1.2M
Now, 1.15 S $=(1+\frac{25}{100})1.2M$
→ 1.15 S $=\frac{5}{4}\times 1.2M=1.5M$
So, the ratio of CP will be (Sedan: Minivan) $=30:23$
So, the overall profit $\%$will be $=\frac{(30\times 15)+(23\times 20)}{30+23}=\frac{910}{53}=17.17\%$