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
4491
A shopkeeper sells an article at a loss of 12.5%. Had he sold it for Rs. 51.80 more, he would have earned a profit of 6%. The cost price of the article is:
Answer:
Rs. 280
Let the Cost Price be x. The difference in SP is the sum of the loss percentage and profit percentage because they are on opposite sides of the cost price. Difference = 12.5% + 6% = 18.5%. Therefore, 18.5% of x = 51.80. x = (51.80 * 100) / 18.5 = 5180 / 18.5 = Rs. 280.
4492
Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. The gain percent is:
Answer:
44%
To easily compare, let's take a common multiple of the quantities, 30 articles. CP of 30 articles = (5/6) * 30 = Rs. 25. SP of 30 articles = (6/5) * 30 = Rs. 36. Gain = 36 - 25 = Rs. 11. Gain % = (11 / 25) * 100 = 11 * 4 = 44%.
4493
A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
Answer:
Rs. 1190
Cost Price (CP) = Rs. 1400. Loss is 15% of CP = (15 / 100) * 1400 = Rs. 210. Selling Price (SP) = CP - Loss = 1400 - 210 = Rs. 1190. Alternatively, SP = 85% of CP = 0.85 * 1400 = Rs. 1190.
4494
If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling eight books?
Answer:
Rs. 1800
To maximize profit, the books must be bought at the lowest possible cost price and sold at the highest possible selling price. Lowest CP per book = Rs. 200. Highest SP per book = Rs. 425. Maximum profit per book = 425 - 200 = Rs. 225. Maximum profit for 8 books = 8 * 225 = Rs. 1800.
4495
A vendor bought bananas at 6 for Rs. 10 and sold them at 4 for Rs. 8. Find his profit or loss percent.
Answer:
20% profit
Cost Price (CP) of 1 banana = 10 / 6 = Rs. 5/3. Selling Price (SP) of 1 banana = 8 / 4 = Rs. 2. Profit = SP - CP = 2 - 5/3 = (6 - 5) / 3 = Rs. 1/3. Profit % = (Profit / CP) * 100 = (1/3) / (5/3) * 100 = (1 / 5) * 100 = 20% profit.
4496
A chair is bought for Rs. 1500 and sold for Rs. 1800. Find the profit or loss percent.
Answer:
20% profit
Cost Price (CP) = Rs. 1500, Selling Price (SP) = Rs. 1800. Since SP > CP, there is a profit. Profit = 1800 - 1500 = Rs. 300. Profit % = (Profit / CP) * 100 = (300 / 1500) * 100 = (1 / 5) * 100 = 20% profit.
4497
A tradesman marks his goods at 25% above the cost price and allows purchasers a discount of 12.5%. What profit percent does he make?
Answer:
9.375%
Let the Cost Price (CP) be 100. Marked Price (MP) = 100 + 25 = 125. The discount is 12.5% on the MP. Discount = 12.5% of 125 = (12.5 / 100) * 125 = 15.625. Selling Price (SP) = 125 - 15.625 = 109.375. Profit = 109.375 - 100 = 9.375. The profit percentage is 9.375%.
4498
What is the single equivalent discount for two successive discounts of 20% and 10%?
Answer:
28%
Let the marked price be Rs. 100. After the first discount of 20%, the price becomes 100 - 20 = Rs. 80. The second discount of 10% is applied on Rs. 80. 10% of 80 = Rs. 8. The final selling price is 80 - 8 = Rs. 72. The total discount is 100 - 72 = Rs. 28, which means the equivalent single discount is 28%. Alternatively, use formula: A + B - (A*B)/100 = 20 + 10 - 200/100 = 28%.
4499
A dishonest dealer professes to sell his goods at cost price, but he uses a weight of 900 grams instead of 1 kg. Find his profit percentage.
Answer:
11.11%
The dealer claims to sell 1 kg (1000 g) at CP but actually delivers only 900 g. So, his cost is for 900 g, while he gets paid for 1000 g. His profit is the cost of 100 g. Profit % = (True Weight - False Weight) / False Weight * 100. Profit % = (1000 - 900) / 900 * 100 = (100 / 900) * 100 = 11.11%.
4500
By selling an article for Rs. 240, a man incurs a loss of 20%. At what price should he sell it to make a profit of 20%?
Answer:
Rs. 360
A loss of 20% means Rs. 240 is 80% of the Cost Price (CP). So, CP = 240 / 0.80 = Rs. 300. To make a 20% profit, the Selling Price (SP) must be 120% of the CP. SP = 1.20 * 300 = Rs. 360.