Question
A shopkeeper bought a batch of shirts for ₹2,000. He
sold 60% of the shirts at a 20% profit, and the remaining 40% of the shirts at a 10% loss. Find the overall profit or loss percentage on the entire batch of shirts.Solution
ATQ, Step 1: Calculate the profit on 60% of the shirts sold at a 20% profit: Profit Percentage = 20% Cost Price (CP) = ₹2,000 Percentage of shirts sold at a profit = 60% Profit on 60% of shirts = (Profit Percentage / 100) × (Cost Price) * (Percentage of shirts sold at a profit) Profit on 60% of shirts = (20 / 100) * (₹2,000) × (60 / 100) Step 2: Calculate the loss on 40% of the shirts sold at a 10% loss: Loss Percentage = 10% Cost Price (CP) = ₹2,000 Percentage of shirts sold at a loss = 40% Loss on 40% of shirts = (Loss Percentage / 100) × (Cost Price) * (Percentage of shirts sold at a loss) Loss on 40% of shirts = (10 / 100) × (₹2,000) × (40 / 100) Step 3: Calculate the overall profit or loss: Overall Profit/Loss = (Profit on 60% of shirts) - (Loss on 40% of shirts) Now, plug in the values calculated in Step 1 and Step 2: Overall Profit/Loss = [(20 / 100) × (₹2,000) × (60 / 100)] - [(10 / 100) × (₹2,000) × (40 / 100)] Now, calculate the values: Overall Profit/Loss = (₹240) - (₹80) Overall Profit/Loss = ₹240 - ₹80 = ₹160 Step 4: Calculate the profit or loss percentage on the entire batch: Profit Percentage = (Overall Profit / Total Cost Price) × 100 Profit Percentage = (₹160 / ₹2,000) × 100 Profit Percentage = (0.08) × 100 Profit Percentage = 8% So, the overall profit percentage on the entire batch of shirts is 8%.
A 140-metre train takes 7 seconds to cross a pole. If the same train takes 10 seconds to cross train 'E' that is travelling in opposite direction at 22 ...
A train 300 metre long takes 20 sec to cross a man running at a speed of 6 km/hr in the direction same to that of train. What is the speed of the train?
A train traveling at 54 km/h takes 25 seconds to pass a pole. Calculate the time it would take for the train to cross a platform, given that the ratio o...
Two trains, 'P' and 'Q', begin their journey from stations 'A' and 'B' at the same time, heading towards each other. The total distance between stations...
Train B can cross a ‘d’ meter long platform in 16 seconds. The speed of train B is 40% less than the speed of train A. Train A can cross a pole in 8...
A train 150 meters long is running at a speed of 54 km/hr. It crosses a platform in 20 seconds. What is the length of the platform?
- Priya is sitting inside train C which is travelling at a speed of 48 km/h. Another train D, whose length is five times the length of train C and travelling...
- A man is running at a speed of 10 m/sec in the same direction of the train. Train can cross the man in 6 seconds. If speed of the train is 108 km/hr, then ...
Train A leaves a station at a certain time and at a fixed speed. After 4 hours, Train B leaves the same station and moves in the same direction at a uni...
Train ‘L’ is travelling with a speed of 90 km/hr and crosses a vertical pole in 4 seconds. Train ‘K’ is 60 metres longer than ‘L’ and trave...