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
4781
In a partnership, A invests Rs. 20000 for 9 months and B invests Rs. 30000 for 12 months. If the total profit is Rs. 9000, what is A's share?
Answer:
Rs. 3000
Ratio = (20000*9) : (30000*12) = 180000 : 360000 = 1 : 2. Total parts = 3. A's share = 1/3 * 9000 = Rs. 3000.
4782
A, B and C rented a video cassette for Rs. 350. They used it for 6, 10 and 12 hours respectively. The rent to be paid by B is:
Answer:
Rs. 125
Rent ratio = 6:10:12 = 3:5:6. Total parts = 14. B's rent = (5/14) * 350 = 5 * 25 = Rs. 125.
4783
A starts a business with Rs. 50,000. 3 months later B joins with Rs. 70,000. Another 3 months later C joins with Rs. 80,000. At the end of the year, the profit is Rs. 28,500. What is the difference between A's and C's share?
Answer:
Rs. 2000
A's time = 12, B's time = 9, C's time = 6. Ratio = (50*12) : (70*9) : (80*6) = 600 : 630 : 480 = 20 : 21 : 16. Total parts = 57. 30000 / 57 is not integer. Let's make profit Rs. 28500. Difference = A(20) - C(16) = 4 parts. 1 part = 28500 / 57 = 500. Difference = 4 * 500 = Rs. 2000. I'll update question.
4784
X, Y, Z start a business. X's investment is 3 times Y's investment and Y's investment is 2/3 of Z's investment. What is the ratio of their profits?
Answer:
6:2:3
Let Z = 3. Then Y = 2/3 * 3 = 2. X = 3 * 2 = 6. Ratio = X:Y:Z = 6:2:3.
4785
A, B and C enter into a partnership. A invests Rs. 24000, B invests Rs. 32000, and C invests Rs. 18000. A withdraws his capital after 8 months. B withdraws after 10 months. C stays for the whole year. If total profit is Rs. 18200, find B's share.
Answer:
Rs. 8000
Ratio = (24*8) : (32*10) : (18*12) = 192 : 320 : 216 = 24 : 40 : 27. Total parts = 91. 18500 is not divisible by 91. Let's adjust total profit to Rs. 18200. B's share = (40/91)*18200 = 8000. I will update the question.
4786
Two friends A and B invest Rs. 10,000 and Rs. 12,000 respectively in a business. They agree to share 25% of the profit equally and the rest according to their investments. If B gets Rs. 375 more than A, what is the total profit?
Answer:
Rs. 5500
Ratio of investments = 10000 : 12000 = 5 : 6. 75% of total profit (0.75P) is divided in this ratio. Difference = (1/11) of 0.75P = 350 => 0.75P = 3850 => P = 3850 / 0.75 = 5133.33. Let me adjust the difference to make it an integer. If difference is Rs. 210, then 0.75P = 2310 => P = 3080. If difference is Rs. 300, 0.75P = 3300 => P = 4400. If difference is Rs. 375, 0.75P = 4125 => P = 5500. Let's use 375.
4787
A, B, C enter a partnership with investments in ratio 5:6:8. At the end of the year they share profit in the ratio 5:3:12. Find the ratio of the time periods of their investments.
Answer:
2:1:3
Time = Profit / Investment. Ratio of times = 5/5 : 3/6 : 12/8 = 1 : 1/2 : 3/2. Multiply by 2 => 2 : 1 : 3.
4788
A, B and C invest in a business. A invests Rs. 20000 for 6 months, B Rs. 15000 for 8 months, and C Rs. 10000 for 12 months. If the profit is Rs. 18000, what is the difference between B and C's share?
Answer:
Rs. 0
Ratio = (20000*6) : (15000*8) : (10000*12) = 120000 : 120000 : 120000 = 1 : 1 : 1. Since B and C have the same ratio (1:1), their shares are equal, meaning the difference is Rs. 0.
4789
M starts a business with Rs. 12000. After 3 months N joins with Rs. 16000. After another 3 months, P joins with Rs. 15000. At the end of the year, if M's share is Rs. 3600, what is the total profit?
Answer:
Rs. 9450
M's time = 12, N's time = 9, P's time = 6. Ratio = (12000*12) : (16000*9) : (15000*6) = 144 : 144 : 90 = 24 : 24 : 15 = 8 : 8 : 5. M's share is 8 parts = 3600 => 1 part = 450. Total profit = 21 parts = 21 * 450 = Rs. 9450. Wait, 8:8:5 sum is 21. 21 * 450 = 9450. Let me check the options. I'll change option b to 9450.
4790
A and B entered into a partnership. A contributed Rs. 5000 for 9 months and B contributed Rs. 6000 for some time. If B's profit is Rs. 1600 out of a total profit of Rs. 3100, for how long did B invest his money?
Answer:
8 months
Total profit = 3100. B's profit = 1600. A's profit = 3100 - 1600 = 1500. Profit ratio A:B = 15:16. Let B's time be t. (5000*9) / (6000*t) = 15 / 16 => 45 / 6t = 15 / 16 => 7.5 / t = 15 / 16 => 15t = 120 => t = 8 months.