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
4751
In a partnership, A invests Rs. 1/4 of total capital for 1/4 of the time. B invests 1/5 of total capital for 1/5 of the time. C invests the rest of the capital for the whole time. Find the ratio of their profits.
Answer:
25:16:220
C's capital = 1 - (1/4 + 1/5) = 11/20. Profit ratio = (1/4 * 1/4) : (1/5 * 1/5) : (11/20 * 1) = 1/16 : 1/25 : 11/20. Multiply by 400 (LCM of 16, 25, 20): 25 : 16 : (11*20) = 25 : 16 : 220. Wait, 400/20 = 20. 11*20 = 220. So 25:16:220. Let me check option a.
4752
A started a business with Rs. 76000. After some months, B joined with Rs. 57000. At the end of the year, the total profit was divided in the ratio 2:1. After how many months did B join?
Answer:
4 months
Let B's time be t. (76000*12) / (57000*t) = 2/1 => 912 / 57t = 2/1 => 16 / t = 2/1 => 2t = 16 => t = 8. B joined after 12 - 8 = 4 months.
4753
A, B and C invest Rs. 1000, Rs. 1500, and Rs. 2000 respectively. If B gets Rs. 600 as his share of profit, what is the total profit?
Answer:
Rs. 1800
Ratio = 1000:1500:2000 = 2:3:4. Total parts = 9. B's share is 3 parts = 600 => 1 part = 200. Total profit = 9 parts = Rs. 1800.
4754
X and Y invest Rs. 21000 and Rs. 17500 in a business. At the end of the year, they make a profit of Rs. 26400. What is X's share?
Answer:
Rs. 14400
Ratio = 21000 : 17500 = 210 : 175 = 6 : 5. Total parts = 11. X's share = (6/11) * 26400 = 6 * 2400 = Rs. 14400.
4755
Two partners A and B invest Rs. 40,000 and Rs. 50,000 respectively. A receives 15% of the total profit for managing the business, and the rest is divided according to their investments. If total profit is Rs. 18,000, find B's share.
Answer:
Rs. 8500
A's salary = 15% of 18000 = 2700. Remaining profit = 15300. Ratio = 40:50 = 4:5. Total parts = 9. B's share = (5/9) * 15300 = 5 * 1700 = Rs. 8500.
4756
A starts a business with Rs. 3500. After 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2:3. What is B's contribution?
Answer:
Rs. 9000
Let B's capital be x. A's time = 12, B's time = 7. (3500 * 12) / (x * 7) = 2/3 => 42000 / 7x = 2/3 => 6000 / x = 2/3 => 2x = 18000 => x = 9000.
4757
A began a business with Rs. 2250 and was joined afterwards by B with Rs. 2700. If the profit at the end of the year was divided in the ratio 2:1, after how much time did B join?
Answer:
7 months
Let B's time be t. (2250 * 12) / (2700 * t) = 2/1 => 27000 / 2700t = 2 => 10 / t = 2 => t = 5 months. Since B was in the business for 5 months, he joined after 12 - 5 = 7 months.
4758
P and Q start a business with Rs. 14000 and Rs. 18000. After 4 months, P withdraws his entire capital. At the end of the year, what is the ratio of their profits?
Answer:
7:27
P's time = 4 months. Q's time = 12 months. Ratio = (14000*4) : (18000*12) = 56 : 216 = 7 : 27.
4759
A, B and C invest their capitals in the ratio 2:3:4 and the time period of their investments are in the ratio 4:5:6. Find the ratio of their profits.
Answer:
8:15:24
Profit ratio = (Capital A * Time A) : (Capital B * Time B) : (Capital C * Time C) = (2*4) : (3*5) : (4*6) = 8 : 15 : 24.
4760
A and B entered into a business with investments of Rs. 10000 and Rs. 15000. After 6 months, A withdrew Rs. 2000 and B withdrew Rs. 3000. If the profit is Rs. 8000, what is A's share?
Answer:
Rs. 3200
A = (10000*6) + (8000*6) = 108000. B = (15000*6) + (12000*6) = 162000. Ratio = 108:162 = 2:3. Total parts = 5. A's share = (2/5) * 7800 = 2 * 1560 = Rs. 3120. Wait, 7800/5 = 1560. 2*1560=3120. Options don't match. Let me adjust profit to Rs. 8000. A's share = (2/5)*8000 = 3200.