Quantitative Aptitude - MCQ Practice Questions

Profit per unit = $\frac{2500}{50}$ = 50. This remains constant regardless of quantity. Average profit per unit = ₹50.

Profit per article = 120 - 80 = ₹40. Profit percentage = ($\frac{40}{80}$) × 100 = 50%. This remains constant for any number of articles, so average profit = 50%.

Combined rate = $\frac{1}{30}$ + $\frac{1}{20}$ = $\frac{5}{60}$ = $\frac{1}{12}$. Time to fill full tank = 12 hours. Time to fill $\frac{2}{5}$ tank = 12 × $\frac{2}{5}$ = 4.8 hours. Average per pipe = 4.8 × 1.5 = 7.2 hours.

SI = (P × R × T) / 100 = (15,000 × 12 × 2) / 100 = ₹3,600. Average per year = 3,$\frac{600}{2}$ = ₹1,800.

For equal distances, average speed = 2ab/(a+b) = (2 × 8 × 12)/(8 + 12) = $\frac{192}{20}$ = 9.6 km/h.

Let total distance = 400 km. Distance segments: 100 km at 50 km/h (2 hrs), 200 km at 60 km/h (3.33 hrs), 100 km at 75 km/h (1.33 hrs). Total time ≈ 6.66 hrs. Average speed = $\frac{400}{6}$.66 ≈ 60.8 km/h.

To find the average work rate per day for the remaining workers, we must calculate each worker's individual rate, then find the combined rate after A leaves.

Step 1: Calculate individual work rates

Worker A completes the job in 12 days, so A's rate = $\frac{1}{12}$ job/day

Worker B completes the job in 15 days, so B's rate = $\frac{1}{15}$ job/day

Worker C completes the job in 20 days, so C's rate = $\frac{1}{20}$ job/day

Step 2: Find the combined rate of all three workers

Finding the LCM of 12, 15, and 20:

Step 3: Calculate work done in first 2 days

In 2 days, all three workers complete:

This information establishes context, but the question asks for the average rate of remaining workers (B and C) after A leaves.

Step 4: Find average work rate of remaining workers (B and C)

Number of remaining workers = 2

**Answer: The average work rate per day for the remaining workers is $\frac{7}{120}$ (Option A)**

[The key to solving this problem is finding the total revenue from all items, subtracting the revenue from the 2 discounted items, and then dividing by the remaining quantity.]

Step 1: Find the Total Selling Price of All 8 Items

The average selling price is given as ₹250 for 8 items, so we multiply to find the total.

Step 2: Calculate the Selling Price of the 2 Items Sold at ₹180 Each

Two items were sold at ₹180 each, so we find their combined revenue.

Step 3: Find the Total Selling Price of Remaining 6 Items

Subtract the revenue from the 2 discounted items from the total revenue.

Step 4: Calculate the Average Price of the Remaining 6 Items

Divide the total price of 6 items by the quantity.

The average price of the remaining 6 items is ₹273.33.

The answer is (A) ₹273.33

In ratio 3:2, total parts = 5. Cost = (3 × 40 + 2 × 60)/5 = (120 + 120)/5 = $\frac{240}{5}$ = ₹48 per kg.