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
4771
Two partners invested Rs. 50,000 and Rs. 70,000 in a business. They agreed that 70% of the profits will be divided equally and the remaining 30% will be divided according to their capitals. If one gets Rs. 900 more than the other, find the total profit.
Answer:
Rs. 18,000
Ratio = 5:7. Difference in parts = 2. Sum of parts = 12. So (2/12) of 30% of Total Profit (0.3P) = 900. (1/6) * 0.3P = 900 => 0.05P = 900 => P = 900 / 0.05 = 18000.
4772
A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. What is the difference between the profit shares of A and C?
Answer:
Rs. 600
Ratio = 8:10:12 = 4:5:6. B's share is 5 parts = 1500 => 1 part = 300. Difference between A and C = 6 - 4 = 2 parts. 2 * 300 = Rs. 600.
4773
A, B and C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
Answer:
Rs. 14,700
Let C = x. B = x + 5000. A = x + 9000. A+B+C = 3x + 14000 = 50000 => 3x = 36000 => x = 12000. C = 12000, B = 17000, A = 21000. Ratio A:B:C = 21:17:12. Total parts = 50. A's share = (21/50) * 35000 = 21 * 700 = Rs. 14,700.
4774
Raju and Sanju invest Rs. 3000 and Rs. 4000 in a business. Raju is the manager and takes Rs. 100 per month out of the profit. The rest of the profit is divided according to their capitals. If the total profit in a year is Rs. 2600, what is Raju's total share?
Answer:
Rs. 1800
Raju's salary for year = 100 * 12 = 1200. Remaining profit = 2600 - 1200 = 1400. Ratio = 3000:4000 = 3:4. Total parts = 7. Raju's profit share = (3/7)*1400 = 600. Total Raju gets = 1200 + 600 = Rs. 1800.
4775
A started a business with Rs. 50000. After 4 months B joined with Rs. 60000 and after another 2 months C joined with Rs. 70000. At the end of the year, what is B's share if the total profit is Rs. 37500?
Answer:
Rs. 12000
A's time=12, B's time=8, C's time=6. Ratio = (50*12) : (60*8) : (70*6) = 600 : 480 : 420 = 60:48:42 = 10:8:7. Total parts = 25. Profit = 36000. Wait, 36000/25 = 1440. B's share = 8 * 1440 = 11520. Let's make profit 37500. 37500/25 = 1500. B = 8*1500 = 12000. I'll update profit to 37500.
4776
A and B entered into a partnership investing Rs. 12000 and Rs. 15000 respectively. After 8 months, A withdraws his capital. At the end of the year, what is the ratio of their profits?
Answer:
8:15
A invested for 8 months. B invested for 12 months. Ratio = (12000*8) : (15000*12) = 96000 : 180000 = 96 : 180 = 8 : 15.
4777
A, B and C become partners in a business. A contributes 1/3rd of the capital for 1/4th of the time. B contributes 1/5th of the capital for 1/6th of the time. C contributes the rest of the capital for the whole time. If the profit is Rs. 1820, A's share is:
Answer:
Rs. 260
C's capital = 1 - (1/3 + 1/5) = 7/15. Profit ratio = (1/3 * 1/4) : (1/5 * 1/6) : (7/15 * 1) = 1/12 : 1/30 : 7/15. Multiply by 60: 5 : 2 : 28. Total parts = 35. A's share = (5/35) * 1820 = 1/7 * 1820 = Rs. 260.
4778
P and Q start a business with initial investments in the ratio of 5:4. Their corresponding annual profits are in the ratio of 5:8. If P invested his money for 6 months, for how many months did Q invest his money?
Answer:
12 months
Let Q's time be t. Profit ratio = (13 * 7) / (8 * t) = 7 / 5 => 91 / 8t = 7 / 5 => 455 = 56t => t = 8.125. Let me change numbers. Let ratio be 5:4, profits 5:8. P time 6 months. (5*6)/(4*t) = 5/8 => 30/4t = 5/8 => t=12. Let's rewrite the question.
4779
X, Y and Z enter into a partnership. X invests Rs. 30,000. Y invests Rs. 40,000. Z invests Rs. 50,000. After 4 months, X withdraws half his capital and Y adds Rs. 10,000. At the end of the year, what is the ratio of their profits?
Answer:
6:14:15
X = (30*4) + (15*8) = 120 + 120 = 240. Y = (40*4) + (50*8) = 160 + 400 = 560. Z = 50 * 12 = 600. Ratio = 240:560:600 = 24:56:60 = 6:14:15. Wait, 6:14:15 is not in options. Let me recompute: X = (30*4)+(15*8) = 240. Y = (40*4)+(50*8)=560. Z = (50*12)=600. Ratio = 240:560:600 = 6:14:15. Let me change the options to match.
4780
A and B entered into a business. A invested Rs. 40,000 and B invested Rs. 60,000. After 6 months, A invested an additional Rs. 20,000 while B withdrew Rs. 10,000. If the total profit after one year is Rs. 31,500, what is A's share?
Answer:
Rs. 15000
A = (40k * 6) + (60k * 6) = 240k + 360k = 600k. B = (60k * 6) + (50k * 6) = 360k + 300k = 660k. Ratio = 600 : 660 = 10 : 11. Total parts = 21. A's share = 10/21 * 33000 = not integer. Let's adjust profit to 31500. A's share = 10/21 * 31500 = 15000. Let's update question profit to 31500.