All Categories MCQs
Topic Notes: All Categories
General Description
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
4421
A shopkeeper expects a gain of 22.5% on his cost price. If in a week his sale was of Rs. 392, what was his profit?
Answer:
Rs. 72
Let CP be x. Gain is 22.5% of x. Sale (SP) = CP + Profit = x + 0.225x = 1.225x. Given 1.225x = 392. x = 392 / 1.225 = 320. Profit = SP - CP = 392 - 320 = Rs. 72.
4422
If the profit on selling an article is 25% of its selling price, what is the actual profit percent?
Answer:
33.33%
Let Selling Price (SP) = 100. Profit = 25% of SP = 25. Cost Price (CP) = SP - Profit = 100 - 25 = 75. Actual Profit % (which is always calculated on CP) = (25 / 75) * 100 = (1 / 3) * 100 = 33.33%.
4423
If an article is sold at 200% profit, the ratio of its cost price to its selling price will be:
Answer:
1:3
Let CP = 100. Profit = 200% of CP = 200. SP = CP + Profit = 100 + 200 = 300. Ratio of CP to SP = 100 : 300 = 1 : 3.
4424
Two articles are sold for Rs. 9600 each. One is sold at a 20% profit and the other at a 20% loss. What is the total profit or loss in the transaction?
Answer:
Rs. 800 loss
When sold at same SP with x% profit and x% loss, total loss % = (x^2)/100 = 400/100 = 4% loss. Total SP = 9600 + 9600 = 19200. Since SP is 96% of CP (due to 4% loss), Total CP = 19200 / 0.96 = 20000. Total Loss = Total CP - Total SP = 20000 - 19200 = Rs. 800.
4425
The marked price of an item is Rs. 800. A shopkeeper offers a discount of 15%. If he still makes a profit of 13.33%, find the cost price of the item.
Answer:
Rs. 600
MP = 800. Discount = 15%. SP = 85% of 800 = 680. He makes a profit of 13.33%, which is equivalent to the fraction 1/15. Wait, 13.33% is approx 13 1/3 % which is 40/300 = 2/15. No, 13.33% is 2/15? No, 33.33% is 1/3, 16.66% is 1/6. 13.33% is 40/3 %. So fraction is 2/15. SP = CP * (1 + 2/15) = CP * 17/15. So 17/15 * CP = 680 => CP = (680 * 15) / 17 = 40 * 15 = Rs. 600.
4426
A sold a watch to B at 20% gain and B sold it to C at a loss of 10%. If C bought it for Rs. 216, at what price did A purchase it?
Answer:
Rs. 200
Let A's cost be x. A sells to B for 1.2x. B sells to C at a 10% loss, so SP for B = 0.9 * 1.2x = 1.08x. C pays 216, so 1.08x = 216 => x = 216 / 1.08 = 200. A paid Rs. 200.
4427
A man buys oranges at 5 for Rs. 10 and sells them at 6 for Rs. 15. His profit percent is:
Answer:
25%
CP of 1 orange = 10 / 5 = Rs. 2. SP of 1 orange = 15 / 6 = Rs. 2.5. Profit = 2.5 - 2 = 0.5. Profit % = (0.5 / 2) * 100 = 25%.
4428
A trader marks his goods such that he earns a 20% profit after allowing a 10% discount. If the cost price is Rs. 900, find the marked price.
Answer:
Rs. 1200
CP = 900. Desired SP for 20% profit = 900 * 1.20 = 1080. This SP is after a 10% discount, so 90% of MP = 1080 => MP = 1080 / 0.90 = Rs. 1200.
4429
If the ratio of SP to CP is 5:4, then what is the profit or loss percent?
Answer:
25% profit
SP/CP = 5/4. Let SP = 5 and CP = 4. Profit = 5 - 4 = 1. Profit % = (Profit / CP) * 100 = (1 / 4) * 100 = 25% profit.
4430
An article is sold for Rs. 300 at a profit of 20%. Had it been sold for Rs. 235, what would have been the loss percentage?
Answer:
6%
SP = 300, Profit = 20%. CP = 300 / 1.20 = 250. If new SP = 235, Loss = 250 - 235 = 15. Loss % = (15 / 250) * 100 = 6%.