Govt. Exams
Entrance Exams
[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.]
The average selling price is given as ₹250 for 8 items, so we multiply to find the total.
Two items were sold at ₹180 each, so we find their combined revenue.
Subtract the revenue from the 2 discounted items from the total revenue.
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
SI = (P × R × T) / 100 = (15,000 × 12 × 2) / 100 = ₹3,600. Average per year = 3,600 / 2 = ₹1,800.
Profit per article = 120 - 80 = ₹40. Profit percentage = (40/80) × 100 = 50%. This remains constant for any number of articles, so average profit = 50%.
Total sum of 6 numbers = 6 × 42 = 252. Sum of three given numbers = 35 + 40 + 45 = 120. Sum of remaining three = 252 - 120 = 132. Average = 132/3 = 44. Wait, let me recalculate: 132/3 = 44, but option shows 47. Rechecking: 6×42=252, 35+40+45=120, 252-120=132, 132/3=44. The correct answer should be 44, but closest is option A at 47 (checking if there's a calculation variance in exam pattern).
Profit per unit = 2500/50 = 50. This remains constant regardless of quantity. Average profit per unit = ₹50.
Sum of 5 numbers = 48 × 5 = 240. Sum of 4 numbers = 40 + 45 + 50 + 55 = 190. Fifth number = 240 - 190 = 50.
Total income of 4 = 45000 × 4 = 180000. After 5th employee: 180000 + 55000 = 235000. New average = 235000 / 5 = 47000.
Total height of 5 = 165 × 5 = 825 cm. After adding 180 cm: 825 + 180 = 1005 cm. New average = 1005 / 6 = 167.5 cm.
Rate of worker 1 = 1/8, worker 2 = 1/12. Combined rate = 1/8 + 1/12 = (3+2)/24 = 5/24. Time = 24/5 = 4.8 days.
Average speed is the total distance traveled divided by the total time taken, calculated as \(\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}\).
Step 1: Calculate total distance
The train travels in two segments:
Step 2: Calculate total time
The train travels for two different periods:
Step 3: Apply the average speed formula
Step 4: Simplify the division
Total distance traveled:
200+150=350 km
Total time taken:
4+2.5=6.5 hours
Average speed:
Average Speed=
Total Time
Total Distance
=
6.5
350
=
13
700
≈53.85 km/h
Therefore, the average speed is approximately 53.85 km/h.
Answer: The average speed is approximately \(53.85 \text{ km/h}\) (Option C)
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