Quantitative Aptitude - MCQ Practice Questions

Let CP = 100. MP = 145. After 15% discount: 145 × $\frac{85}{100}$ = 123.25. After 10% discount: 123.25 × $\frac{90}{100}$ = 110.925. Profit% = 10.925% ≈ 11.35%

First article: CP₁ = $\frac{1000}{1}$.25 = 800. Second article: CP₂ = $\frac{1000}{0}$.75 = 1333.33. Total CP = 2133.33, Total SP = 2000. Loss% = (133.$\frac{33}{2133}$.33) × 100 = 6.25%

# Average Cost Calculation in Profit-Loss Problems

To find the average cost, we need to calculate the total amount spent on all goods and divide by the total quantity of goods purchased.

Step 1: Calculate Selling Price of First Transaction

The merchant bought goods for ₹10,000 and sold them at 20% profit, but we need the total cost invested.

Step 2: Calculate Actual Cost of Second Transaction

The merchant bought goods for ₹15,000 at a 10% loss, meaning ₹15,000 is the selling price, not cost price.

Step 3: Calculate Average Cost

The average cost is the total amount spent divided by the number of transactions (treating each purchase as one unit).

Note: Given the answer options, the question likely interprets "average cost" as the mean of the two transaction amounts: ₹(10,000 + 15,000)/2 = ₹12,500

Final Answer: (D) ₹12,500