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
4831
X and Y started a business by investing Rs. 50,000 and Rs. 60,000 respectively. X is a working partner and receives 10% of the profit as salary. If the total profit is Rs. 22,000, find Y's share.
Answer:
Rs. 10800
X's salary = 10% of 22000 = 2200. Remaining profit = 22000 - 2200 = 19800. Ratio of investments = 5:6. Total parts = 11. Y's share = (6/11) * 19800 = 6 * 1800 = Rs. 10800.
4832
A, B and C invest in the ratio 2:3:5. A is an active partner and gets 20% of the total profit as salary. If the total profit is Rs. 10,000, what is A's total share?
Answer:
Rs. 3600
A's salary = 20% of 10000 = Rs. 2000. Remaining profit = 8000. Ratio = 2:3:5 (total 10 parts). A's profit share = (2/10) * 8000 = Rs. 1600. Total share of A = 2000 + 1600 = Rs. 3600.
4833
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is:
Answer:
Rs. 8400
Ratio of investments = 22500 : 35000 = 225 : 350 = 9 : 14. Total parts = 23. Deepak's share = (14/23) * 13800 = 14 * 600 = Rs. 8400.
4834
A and B invested in a business in the ratio 3:2. If 5% of total profit goes to a charity and A's share is Rs. 855, the total profit is:
Answer:
Rs. 1500
Profit after charity = 95%. A gets 3/5 of this. So A gets (3/5)*95% = 57% of total profit. 57% = 855. Total profit = 855 / 0.57 = 1500.
4835
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share?
Answer:
Rs. 10,500
Simran's time = 36 months. Nanda's time = 30 months. Ratio = (50000 * 36) : (80000 * 30) = 180 : 240 = 3 : 4. Total parts = 7. Simran's share = (3/7) * 24500 = 3 * 3500 = Rs. 10,500.
4836
A and B entered into a partnership with capitals in the ratio 4:5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:
Answer:
Rs. 330
A's initial = 4x, B's = 5x. A's capital: 4x for 3 months, 3x for 7 months (Total 10 months). A's eq = 12x + 21x = 33x. B's capital: 5x for 3 months, 4x for 7 months. B's eq = 15x + 28x = 43x. Ratio = 33 : 43. Total parts = 76. A's share = (33/76) * 760 = Rs. 330.
4837
A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay?
Answer:
Rs. 45
Ratio of rents = (10 * 7) : (12 * 5) : (15 * 3) = 70 : 60 : 45 = 14 : 12 : 9. Total parts = 35. C's share of rent = (9/35) * 175 = 9 * 5 = Rs. 45.
4838
X, Y and Z enter into partnership. X invests 1/4th of total capital for 1/4th of the time. Y invests 1/5th of total capital for 1/2 of the time. Z invests the rest of the capital for the whole time. If total profit is Rs. 1140, what is Y's share?
Answer:
Rs. 160
Let total capital = 20, total time = 4. X's capital = 5, time = 1. Y's capital = 4, time = 2. Z's capital = 11, time = 4. Profit ratio = (5*1) : (4*2) : (11*4) = 5 : 8 : 44. Total parts = 57. Y's share = (8/57) * 1140 = 8 * 20 = Rs. 160. Wait. The calculation: 1140 / 57 = 20. Y's share = 8 * 20 = 160. My options don't have 160. Let me re-read: Z invests rest for whole time. Capital Z = 1 - 1/4 - 1/5 = 11/20. Profit ratio: (1/4 * 1/4) : (1/5 * 1/2) : (11/20 * 1) = 1/16 : 1/10 : 11/20. Multiply by 80: 5 : 8 : 44. Sum = 57. 1140 / 57 = 20. Y = 160. Let me add 160 as an option.
4839
A is a working partner and B is a sleeping partner in a business. A puts in Rs. 12,000 and B Rs. 20,000. A receives 10% of the profits for managing, the rest being divided in proportion to their capitals. Out of a total profit of Rs. 9,600, what is the money received by A?
Answer:
Rs. 4200
A's salary = 10% of 9600 = Rs. 960. Remaining profit = 9600 - 960 = Rs. 8640. Ratio of investments = 12000:20000 = 3:5. A's profit share = (3/8) * 8640 = 3240. Total received by A = 960 + 3240 = Rs. 4200.
4840
A, B and C started a business with their investments in the ratio 1:2:4. After 6 months, A invested half more amount, B invested same amount as before, while C withdrew 1/4th of his investment. Find the ratio of their profits at the end of the year.
Answer:
5:12:14
Let initial investments be 2x, 4x, 8x. (To easily calculate fractions). A: (2x*6) + (3x*6) = 30x. B: (4x*6) + (8x*6) = 72x. C: (8x*6) + (6x*6) = 84x. Ratio = 30:72:84 = 5:12:14.