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
4411
When a discount of 20% is given on a sweater, the profit is 28%. If the discount is 14%, what will be the profit?
Answer:
37.6%
Let CP = 100. For a 28% profit, SP = 128. This SP is after a 20% discount on MP, so 80% of MP = 128 => MP = 128 / 0.8 = 160. If the discount is 14%, new SP = 86% of MP = 0.86 * 160 = 137.6. Profit = 137.6 - 100 = 37.6. Profit % = 37.6%.
4412
An article is sold at 15% profit. If it is sold for Rs. 27 more, the profit will be 20%. The cost price of the article is:
Answer:
Rs. 540
The difference in profit percentage is 20% - 15% = 5%. This 5% of CP equals Rs. 27. So, 0.05 * CP = 27 => CP = 27 / 0.05 = Rs. 540.
4413
A man bought two goats for Rs. 1008. He sold one at a loss of 20% and other at a profit of 44%. If each goat was sold for the same price, the cost price of the goat which was sold at a loss was:
Answer:
Rs. 648
Let CP of the first goat (sold at loss) be x. Then CP of the second is 1008 - x. The selling prices are equal: 80% of x = 144% of (1008 - x). So, 0.8x = 1.44(1008 - x) => 80x = 144(1008) - 144x => 224x = 144 * 1008. x = (144 * 1008) / 224 = 648. CP of the first goat = Rs. 648.
4414
A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?
Answer:
8 1/3%
Total Cost Price = Rs. 420. Total Selling Price = 70 * 6.50 = Rs. 455. Profit = 455 - 420 = Rs. 35. Profit % = (35 / 420) * 100 = (1 / 12) * 100 = 8.33% or 8 1/3%.
4415
A man bought some pencils at 6 for Rs. 5 and sold them at 5 for Rs. 6. What is his overall profit percentage?
Answer:
44%
Let total pencils bought be 30 (LCM of 5 and 6). Total CP = (5/6) * 30 = Rs. 25. Total SP = (6/5) * 30 = Rs. 36. Profit = 36 - 25 = 11. Profit % = (11 / 25) * 100 = 44%.
4416
The marked price of a shirt is Rs. 500. A shopkeeper allows 20% discount and still makes a profit of 25%. Find the cost price of the shirt.
Answer:
Rs. 320
Marked Price = Rs. 500. Discount = 20%, so SP = 80% of 500 = 400. The shopkeeper makes 25% profit, so SP = 125% of CP. 1.25 * CP = 400 => CP = 400 / 1.25 = Rs. 320.
4417
A person incurs a 5% loss by selling a watch for Rs. 1140. At what price should the watch be sold to earn a 5% profit?
Answer:
Rs. 1260
A 5% loss means SP = 95% of CP. So, 0.95 * CP = 1140 => CP = 1140 / 0.95 = 1200. For a 5% profit, SP = 105% of CP = 1.05 * 1200 = Rs. 1260.
4418
The ratio of the cost price to the selling price of an article is 4:5. What is the profit percent?
Answer:
25%
CP : SP = 4 : 5. Let CP = 4 and SP = 5. Profit = 5 - 4 = 1. Profit % = (Profit / CP) * 100 = (1 / 4) * 100 = 25%.
4419
A vendor sells 36 oranges for a rupee and suffers a loss of 4%. How many oranges must he sell for a rupee to gain 8%?
Answer:
32
SP of 1 orange = 1/36. This is at a 4% loss, so 0.96 * CP = 1/36 => CP = 1 / (36 * 0.96). To gain 8%, the new SP of 1 orange = 1.08 * CP = 1.08 / (36 * 0.96) = 108 / (36 * 96) = 3 / 96 = 1 / 32. He should sell 32 oranges for a rupee.
4420
A man buys a radio for Rs. 800 and spends Rs. 400 on repairs. If he sells it for Rs. 1500, find his profit percentage.
Answer:
25%
Total Cost Price = Initial Price + Repairs = 800 + 400 = 1200. Selling Price = 1500. Profit = 1500 - 1200 = 300. Profit % = (Profit / Total CP) * 100 = (300 / 1200) * 100 = 25%.