Question

A seller bought three different types of mobile covers, C1, C2, and C3. The ratio of their selling prices was 3:4:5. He made a profit of 25% on C1, 10% on C2, but incurred a loss of 20% on C3. What was his approximate percent gain or loss in the entire transaction?

• A. profit of 2.33%
• B. loss of 2.33%
• C. loss of 4.62%
• D. profit of 4.62%

Answer 1

Answer:

B. loss of 2.33%

Assume the selling prices (SP) of C1, C2, and C3 are in the ratio (3:4:5).

Let their SPs be:

• C1 = 300

• C2 = 400

• C3 = 500

Now find the cost prices (CP):

• C1: 25% profit ⇒ $(CP = \frac{300}{1.25} = 240)$

• C2: 10% profit ⇒$(CP = \frac{400}{1.10} \approx 363.64)$

• C3: 20% loss ⇒$(CP = \frac{500}{0.80} = 625)$

Total SP = (300 + 400 + 500 = 1200)

Total CP = (240 + 363.64 + 625 = 1228.64)

Net loss = (1228.64 - 1200 = 28.64)

Percentage loss:

• $\frac{28.64}{1228.64}\times 100 \approx 2.33\%$
  

Answer: Approximately 2.3% loss. ✅