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
4821
In a partnership, A invests 1/6 of the capital for 1/6 of the time, B invests 1/3 of the capital for 1/3 of the time and C, the rest of the capital for the whole time. Out of a profit of Rs. 4600, B's share is:
Answer:
Rs. 800
C's capital = 1 - (1/6 + 1/3) = 1 - 1/2 = 1/2. Profit ratio = (1/6 * 1/6) : (1/3 * 1/3) : (1/2 * 1) = 1/36 : 1/9 : 1/2. Multiply by 36: 1 : 4 : 18. Total parts = 23. B's share = (4/23) * 4600 = Rs. 800.
4822
P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Answer:
17:3
Since time is same for both (2 years), the profit ratio is the ratio of their investments. 85000 : 15000 = 85 : 15 = 17 : 3.
4823
A started a business with Rs. 45000. B joined after 3 months with Rs. 60000. C joined after 6 months with Rs. 90000. What is the ratio of their profits at the end of the year?
Answer:
1:1:1
A's time = 12, B's = 9, C's = 6. Ratio = (45000*12) : (60000*9) : (90000*6) = 540 : 540 : 540 = 1 : 1 : 1.
4824
A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B's money was used?
Answer:
10 months
A's capital = 1/4, B's capital = 3/4. B's profit = 2/3, A's profit = 1/3. Profit ratio A:B = 1:2. Let B's time be t. (1/4 * 15) / (3/4 * t) = 1/2 => 15 / 3t = 1/2 => 30 = 3t => t = 10 months.
4825
X, Y and Z start a business. X invests Rs. 8000 for 6 months, Y invests Rs. 10000 for 8 months, and Z invests Rs. 12000 for 10 months. If the total profit is Rs. 6200, find the share of X.
Answer:
Rs. 1200
Ratio = (8000*6) : (10000*8) : (12000*10) = 48 : 80 : 120 = 3 : 5 : 7.5 = 6 : 10 : 15. Total parts = 31. X's share = (6/31) * 6200 = 6 * 200 = Rs. 1200.
4826
A and B entered into a partnership investing Rs. 15000 and Rs. 20000 respectively. After 6 months, C joined them with Rs. 30000. If the total profit at the end of the year is Rs. 10000, find C's share.
Answer:
Rs. 3000
A's capital = 15000 * 12. B's capital = 20000 * 12. C's capital = 30000 * 6. Ratio = 180000 : 240000 : 180000 = 3 : 4 : 3. Total parts = 10. C's share = (3/10) * 10000 = Rs. 3000.
4827
A, B and C started a business with capitals in the ratio 2:3:5. At the end of the year, they received profits in the ratio 4:3:10. What is the ratio of time for which they contributed their capitals?
Answer:
2:1:2
Profit = Capital * Time. Therefore, Time = Profit / Capital. Ratio of times = 4/2 : 3/3 : 10/5 = 2 : 1 : 2.
4828
A, B and C started a business. A invested 1/3 of the total capital, B invested 1/4 of the total capital, and C invested the remaining. If the total profit is Rs. 6000, what is C's share?
Answer:
Rs. 2500
Let total capital = 12 units. A's capital = 4. B's capital = 3. C's capital = 12 - 4 - 3 = 5. Ratio = 4:3:5. Total parts = 12. C's share = (5/12) * 6000 = Rs. 2500.
4829
P and Q enter into a partnership. P invests Rs. 5000 for 8 months and Q invests Rs. 4000 for 10 months. What is the ratio of their profit sharing?
Answer:
1:1
Profit Ratio = (5000 * 8) : (4000 * 10) = 40000 : 40000 = 1 : 1.
4830
A, B and C rent a piece of land for Rs. 2400. A puts 200 sheep for 6 weeks, B puts 150 sheep for 8 weeks, and C puts 300 sheep for 4 weeks. What is the share of C in the rent?
Answer:
Rs. 800
Ratio of sheep-weeks = (200*6) : (150*8) : (300*4) = 1200 : 1200 : 1200 = 1:1:1. Since the ratio is equal, they share the rent equally. C's share = 2400 / 3 = Rs. 800.