Mathematics/General Ability MCQs
Topic Notes: Mathematics/General Ability
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
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
281
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.
282
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.
283
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.
284
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%.
285
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%.
286
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%.
287
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.
288
An item is sold at a profit of 10%. If it had been sold for Rs. 60 more, the profit would have been 15%. Find the cost price of the item.
Answer:
Rs. 1200
Let the Cost Price (CP) be x. The difference in the profit percentages is 15% - 10% = 5%. This 5% difference in profit corresponds directly to the Rs. 60 difference in the selling price. Therefore, 5% of CP = 60. So, (5 / 100) * x = 60. x = 60 * (100 / 5) = Rs. 1200.
289
A person sold two phones for Rs. 5000 each. On one, he gained 20% and on the other, he lost 20%. What is his overall profit or loss percentage?
Answer:
4% loss
When two items are sold at the same Selling Price and one is sold at a gain of x% and the other at a loss of x%, there is always an overall loss. The overall loss percentage is calculated by the formula (x^2) / 100. Here, x = 20, so overall loss % = (20^2) / 100 = 400 / 100 = 4% loss.
290
A shopkeeper marks his goods 20% above the cost price and allows a discount of 10%. Find his net profit percentage.
Answer:
8%
Let the Cost Price (CP) be Rs. 100. The Marked Price (MP) is 20% above CP, so MP = Rs. 120. He gives a 10% discount on the MP. Discount = 10% of 120 = Rs. 12. Selling Price (SP) = MP - Discount = 120 - 12 = Rs. 108. Net Profit = SP - CP = 108 - 100 = Rs. 8. Net profit percentage = (8 / 100) * 100 = 8%.