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
121
An article was sold at a 12% loss. Had it been sold for Rs. 63 more, the profit would have been 6%. Cost price of the article is:
Answer:
Rs. 350
The change in price represents a shift from 12% loss to 6% profit, which is a gap of 18% of CP. So, 18% of CP = 63. CP = (63 / 18) * 100 = Rs. 350.
122
A manufacturer sells to a wholesaler at a profit of 10%. The wholesaler sells to a retailer at a profit of 20%. The retailer sells to a customer for Rs. 56100, earning a profit of 15%. The cost of manufacturing is:
Answer:
Rs. 40000
Let manufacturing cost be x. x * 1.10 * 1.20 * 1.15 = 56100. x * 1.518 = 56100. x = 56100 / 1.518 = Rs. 40000.
123
A reduction of 20% in the price of apples enables a man to buy 10 kg more for Rs. 54. The reduced price per kg is:
Answer:
Rs. 1.08
20% of Rs. 54 is Rs. 10.8. This Rs. 10.8 allows him to buy the extra 10 kg. Reduced price per kg = 10.8 / 10 = Rs. 1.08.
124
If the SP of 40 articles is equal to the CP of 50 articles, the profit percent is:
Answer:
25%
Let CP of 1 article = 1. CP of 40 articles = 40. SP of 40 articles = CP of 50 articles = 50. Profit = 50 - 40 = 10. Profit % = (10 / 40) * 100 = 25%.
125
A man sells a book for Rs. 150 at a 20% profit. What was his cost price?
Answer:
Rs. 125
SP = 150. Profit = 20%, so SP is 120% of CP. 1.20 * CP = 150 => CP = 150 / 1.2 = 1500 / 12 = Rs. 125.
126
A shopkeeper sells two articles at Rs. 1000 each. On one he gains 25% and on the other he loses 25%. His net loss in the transaction is:
Answer:
Rs. 133.33
Loss % = (25^2)/100 = 6.25% = 1/16. Total SP = 2000. SP is 15/16 of CP. So, (15/16) * CP = 2000 => CP = 32000 / 15 = 2133.33. Loss = CP - SP = 2133.33 - 2000 = Rs. 133.33.
127
A trader marks his goods at 40% above the cost price and allows a discount of 25%. His profit percent is:
Answer:
5%
Let CP = 100. MP = 140. Discount = 25% of 140 = 35. SP = 140 - 35 = 105. Profit = 105 - 100 = 5. Profit % = 5%.
128
By selling 100 oranges, a vendor gains the cost price of 20 oranges. His gain percent is:
Answer:
20%
Let CP of 1 orange be Rs. 1. Total CP of 100 oranges = Rs. 100. Gain = CP of 20 oranges = Rs. 20. Gain % = (Gain / Total CP) * 100 = (20 / 100) * 100 = 20%.
129
The difference between the cost price and selling price of an article is Rs. 240. If the profit is 20%, the selling price is:
Answer:
Rs. 1440
Difference between SP and CP is Profit. Profit = Rs. 240. Profit % = 20%. 20% of CP = 240 => CP = 1200. SP = CP + Profit = 1200 + 240 = Rs. 1440.
130
If an item is sold at Rs. 150, there is a loss of 25%. To earn a profit of 25%, what should be the selling price?
Answer:
Rs. 250
SP = 150. Loss = 25%, meaning SP is 75% of CP. 0.75 * CP = 150 => CP = 150 / 0.75 = 200. To gain 25%, SP = 1.25 * 200 = Rs. 250.