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
4321
A person buys some pencils at 5 for a rupee and sells them at 3 for a rupee. His gain percent will be:
Answer:
66.66%
CP of 1 pencil = 1/5. SP of 1 pencil = 1/3. Let total pencils be 15. Total CP = 3, Total SP = 5. Gain = 5 - 3 = 2. Gain % = (2 / 3) * 100 = 66.66%.
4322
By selling 144 hens, a man lost the selling price of 6 hens. His loss percent is:
Answer:
4%
Let SP of 1 hen be 1. SP of 144 hens = 144. Loss = SP of 6 hens = 6. CP = SP + Loss = 144 + 6 = 150. Loss % = (Loss / CP) * 100 = (6 / 150) * 100 = 4%.
4323
A shopkeeper buys an article for Rs. 1200 and marks it 25% above the cost price. He then gives a 10% discount. What is his profit?
Answer:
Rs. 150
CP = 1200. MP = 1200 + 25% of 1200 = 1200 + 300 = 1500. Discount = 10% of 1500 = 150. SP = 1500 - 150 = 1350. Profit = 1350 - 1200 = Rs. 150.
4324
A trader sold a TV at a 20% profit. If he had bought it at 20% less and sold it for Rs. 900 less, he would have gained 25%. The cost price of the TV is:
Answer:
Rs. 4500
Let CP = x. Original SP = 1.20x. New CP = 0.80x. New SP = 1.20x - 900. New gain = 25% on new CP. So, New SP = 1.25 * 0.80x = 1.00x. Equating the two: 1.20x - 900 = 1.00x => 0.20x = 900 => x = 900 / 0.20 = 4500. CP = Rs. 4500.
4325
A man purchased two articles for Rs. 3000 each. He sold one at a 15% profit and the other at a 15% loss. His total profit or loss is:
Answer:
No profit no loss
When two articles have the same Cost Price, and one is sold at +x% and the other at -x%, the net result is always exactly 0. Thus, there is no profit and no loss.
4326
If the profit earned on selling an article for Rs. 800 is equal to the loss incurred on selling it for Rs. 400, the cost price of the article is:
Answer:
Rs. 600
Since Profit = Loss, SP1 - CP = CP - SP2. 800 - CP = CP - 400 => 2CP = 1200 => CP = Rs. 600.
4327
A shopkeeper allows a 10% discount on his goods and still earns a 20% profit. If an item costs him Rs. 600, what is its marked price?
Answer:
Rs. 800
CP = 600. For 20% profit, SP = 600 * 1.20 = 720. Since SP is after a 10% discount, 90% of MP = 720. MP = 720 / 0.90 = Rs. 800.
4328
A trader mixes two varieties of sugar at Rs. 20/kg and Rs. 30/kg. If he sells the mixture at Rs. 27/kg and makes a 20% profit, what is the ratio in which they were mixed?
Answer:
3:1
SP = 27. Profit = 20%. CP of mixture = 27 / 1.20 = 22.5. Using alligation: Quantity of cheaper / Quantity of dearer = (30 - 22.5) / (22.5 - 20) = 7.5 / 2.5 = 3:1.
4329
A shopkeeper bought 20 kg of wheat at Rs. 15 per kg and 30 kg at Rs. 13 per kg. He sold the mixture at Rs. 16 per kg. His total profit is:
Answer:
Rs. 110
Total CP = (20 * 15) + (30 * 13) = 300 + 390 = 690. Total weight = 50 kg. Total SP = 50 * 16 = 800. Total Profit = 800 - 690 = Rs. 110.
4330
A boy buys 3 apples for Rs. 5 and sells them at 4 for Rs. 7. His profit or loss percent is:
Answer:
5% profit
CP of 1 apple = 5/3. SP of 1 apple = 7/4. Let's assume total 12 apples. CP = 12 * (5/3) = 20. SP = 12 * (7/4) = 21. Profit = 21 - 20 = 1. Profit % = (1 / 20) * 100 = 5% profit.