Govt. Exams
Entrance Exams
To find the effective profit percentage, we need to track the cost price, marked selling price (with profit), and discounted selling price.
Step 1: Calculate the Marked Selling Price (with 25% profit)
The shopkeeper marks up books at a 25% profit on the cost price of ₹20.
Step 2: Calculate the Actual Selling Price (after 10% discount)
During the sale, a 10% discount is given on the marked price of ₹25.
Step 3: Calculate the Effective Profit
Step 4: Calculate Effective Profit Percentage
Answer: The effective profit percentage is 12.5% (Option A)
To find when the three bells ring together again, we need to find the Least Common Multiple (LCM) of their ringing intervals.
Step 1: Find the prime factorization of each interval
Step 2: Determine the LCM
The LCM is found by taking the highest power of each prime factor:
Step 3: Add 90 minutes to the initial time
The bells ring together at 9:00 AM. They will ring together again after 90 minutes.
Step 4: Calculate the final time
Answer: The three bells will ring together again at 10:30 AM (Option D)
Using HCF × LCM = Product of two numbers: 18 × 1080 = 108 × x; x = 19440/108 = 180
HCF×LCM = product of numbers. 16×960 = 15,360.
Distance = 5×6 = 30 km. New time = 30/6 = 5 hours. Time saved = 6-5 = 1 hour.
Increase = 48000 - 40000 = 8000. Percentage = 8000/40000 × 100 = 20%.
MP = 80×1.25 = ₹100. SP = 100×0.9 = ₹90. Profit = 10/80 × 100 = 12.5%.
Upstream speed = 24/6 = 4 km/h. Downstream speed = 24/3 = 8 km/h. Current = (8-4)/2 = 2 km/h.
Distance = 150 + 250 = 400m. Speed = 400/20 = 20 m/s = 20×3.6 = 72 km/h.
Rate = 1/20 + 1/30 - 1/60 = 3/60 + 2/60 - 1/60 = 4/60 = 1/15. Time = 15 minutes.
