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
4441
A man buys 2 items for Rs. 4000 each. He sells one at a profit of 15% and the other at a loss of 15%. What is his net profit or loss?
Answer:
No profit no loss
When two articles have the same Cost Price and one is sold at x% profit and the other at x% loss, there is absolutely no profit and no loss on the whole transaction. (Note: this is different from selling at the same SP).
4442
A dealer sells goods at a 10% loss on cost price but uses a 20% lesser weight. What is his percentage profit or loss?
Answer:
12.5% profit
Let true CP for 1000g be Rs. 100. He uses 20% less weight, so he gives 800g. Cost to the dealer for 800g = Rs. 80. He sells the false 1kg at a 10% loss on marked cost, so SP = Rs. 90. He spends Rs. 80 and earns Rs. 90. Profit = 90 - 80 = 10. Profit % = (10 / 80) * 100 = 12.5%.
4443
By selling 33 meters of cloth, a person gains the cost price of 11 meters. Find his gain percent.
Answer:
33.33%
Let CP of 1 meter be Re. 1. Total CP for 33 meters = Rs. 33. Gain = CP of 11 meters = Rs. 11. Gain % = (Gain / Total CP) * 100 = (11 / 33) * 100 = 33.33%.
4444
An article is marked at Rs. 10,000. A shopkeeper offers 3 successive discounts of 10%, 20% and 30%. What is the final selling price?
Answer:
Rs. 5040
Final SP = Marked Price * (1 - d1) * (1 - d2) * (1 - d3). SP = 10000 * 0.90 * 0.80 * 0.70 = 10000 * 0.504 = Rs. 5040.
4445
If the cost price is 25% of selling price, then what is the profit percent?
Answer:
300%
Let Selling Price (SP) = 100. Then Cost Price (CP) = 25. Profit = SP - CP = 100 - 25 = 75. Profit % = (Profit / CP) * 100 = (75 / 25) * 100 = 300%.
4446
A sold an article to B at 10% profit. B sold it to C at 20% profit. C sold it to D at 25% profit. If D paid Rs. 3300, what did A pay for it?
Answer:
Rs. 2000
Let A's CP be x. B's CP = 1.1x. C's CP = 1.1x * 1.2 = 1.32x. D's CP = 1.32x * 1.25 = 1.65x. We are given 1.65x = 3300. x = 3300 / 1.65 = 2000. A paid Rs. 2000.
4447
A publisher prints 2000 copies of a book at a cost of Rs. 70,000. He distributes 400 copies free as specimens. He gives a 30% discount on the marked price and still makes a 20% profit. What is the marked price of each book?
Answer:
Rs. 75
Total cost = 70,000. Desired profit = 20%, so Total SP = 70,000 * 1.20 = 84,000. Only 1600 copies are sold (2000 - 400 free). SP per book = 84,000 / 1600 = Rs. 52.5. This SP is after a 30% discount on MP. So, 70% of MP = 52.5 => MP = 52.5 / 0.7 = 75. The marked price is Rs. 75.
4448
A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered?
Answer:
30%
Let CP = 100. Profit = 23.5%, so SP = 123.5. This SP is after a 5% discount on MP. So, 95% of MP = 123.5 => MP = 123.5 / 0.95 = 130. If no discount is offered, SP = MP = 130. Profit = 130 - 100 = 30. Profit % = 30%.
4449
If goods be purchased for Rs. 450, and one-third is sold at a loss of 10%. At what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
Answer:
35%
Total CP = 450. Desired total profit = 20% of 450 = Rs. 90. CP of one-third = 450 / 3 = 150. Loss on this part = 10% of 150 = Rs. 15. The remaining part has CP = 300. Let the profit on this be P. Total profit = P - 15 = 90 => P = 105. Profit % on remaining = (105 / 300) * 100 = 35%.
4450
A shopkeeper allows a 10% discount on the marked price of an item and still gains 17%. If the marked price is Rs. 260, find the cost price of the item.
Answer:
Rs. 200
MP = 260. Discount = 10% of 260 = 26. SP = 260 - 26 = 234. Gain is 17%, so SP = 117% of CP. 1.17 * CP = 234 => CP = 234 / 1.17 = 200. Cost price = Rs. 200.