Govt. Exams
Entrance Exams
After 30% discount: 1500 × 0.7 = ₹1050. After additional 10%: 1050 × 0.9 = ₹945
Filling rate = 1/10, Emptying rate = 1/15. Net rate = 1/10 - 1/15 = 3/30 - 2/30 = 1/30. Time = 30 hours
Let numbers be 4k and 5k. HCF = k = 8. So numbers are 32 and 40
Relative speed = 45 + 55 = 100 km/h. Time = Distance/Speed = 400/100 = 4 hours
When selling multiple articles at different profit/loss percentages with equal cost prices, we calculate the overall result by comparing total selling price to total cost price.
Step 1: Calculate selling price of first article (20% profit)
Cost price of first article = ₹1000
Selling price with 20% profit:
Step 2: Calculate selling price of second article (20% loss)
Cost price of second article = ₹1000
Selling price with 20% loss:
Step 3: Find total cost price and total selling price
Step 4: Calculate overall profit or loss
Since the total selling price equals the total cost price, there is no profit and no loss.
Answer: No profit, no loss (Option A)
Amount = P(1 + r/100)^t = 8000(1.1)^2 = 8000 × 1.21 = ₹9680. CI = 9680 - 8000 = ₹1680
HCF × LCM = a × b. 15 × 450 = 75 × b. 6750 = 75b. b = 90
Selling Price = Cost Price × (1 - Loss%). 1200 = CP × 0.8. CP = 1200/0.8 = ₹1500
18 = 2 × 3^2, 24 = 2^3 × 3, 36 = 2^2 × 3^2. LCM = 2^3 × 3^2 = 8 × 9 = 72
96 = 2^5 × 3, 144 = 2^4 × 3^2, 192 = 2^6 × 3. HCF = 2^4 × 3 = 16 × 3 = 48
