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
4741
In a partnership, A invests Rs. 10000 for 3 months, B invests Rs. 12000 for 4 months and C invests Rs. 15000 for 2 months. Find the ratio of their profits.
Answer:
5:8:5
Ratio = (10000*3) : (12000*4) : (15000*2) = 30000 : 48000 : 30000 = 30 : 48 : 30 = 5 : 8 : 5.
4742
A, B, C start a business. A invests Rs. 20,000, B invests Rs. 30,000, C invests Rs. 40,000. B gets 10% of profit for managing, C gets 15% for managing. Remaining is distributed by capital. Total profit is Rs. 18,000. What is A's share?
Answer:
Rs. 3000
Total salary = 25% of 18000 = 4500. Remaining = 13500. Ratio = 2:3:4. Total parts = 9. A's share = (2/9) * 13500 = 2 * 1500 = Rs. 3000.
4743
P, Q, R are partners. P's capital is 1/4 of total, Q's is 1/3 of total, and R's is the rest. Profit is distributed equally because P and Q are active. Wait, let's make a standard question. P invests 1/4, Q 1/3, R the rest. Total profit is 6000. R's share?
Answer:
Rs. 2500
R's capital = 1 - (1/4 + 1/3) = 1 - 7/12 = 5/12. Profit is distributed in ratio of capitals. R's share = 5/12 * 6000 = 5 * 500 = Rs. 2500.
4744
A, B and C invest their capitals in the ratio 3:4:5. After 6 months, A adds 50% of his capital, B adds 25% of his capital, and C withdraws 20% of his capital. Find the profit ratio at the end of the year.
Answer:
15:18:18
A = (3*6) + (4.5*6) = 18 + 27 = 45. B = (4*6) + (5*6) = 24 + 30 = 54. C = (5*6) + (4*6) = 30 + 24 = 54. Ratio = 45 : 54 : 54 = 15 : 18 : 18. Wait, C withdraws 20%, so 5 - 1 = 4. 30 + 24 = 54. Ratio is 15:18:18. Let me check option a.
4745
Four milkmen A, B, C, D rent a pasture. A grazed 12 cows for 4 months, B 15 cows for 3 months, C 18 cows for 6 months, and D 24 cows for 2 months. If total rent is Rs. 1245, find A's share.
Answer:
Rs. 240
Ratio = (12*4) : (15*3) : (18*6) : (24*2) = 48 : 45 : 108 : 48. Total parts = 249. A's share = (48/249) * 1245 = 48 * 5 = Rs. 240.
4746
A and B entered into a business investing Rs. 50000 and Rs. 60000. A is an active partner and gets 10% of profit as salary. If B gets Rs. 27000 as his share of profit, what is the total profit?
Answer:
Rs. 55000
Ratio of investment = 5:6. B gets 6/11 of the remaining profit (which is 90% of total). B's share = (6/11) * 0.9P = 27000. 0.9P = (27000 * 11) / 6 = 4500 * 11 = 49500. P = 49500 / 0.9 = Rs. 55000.
4747
X, Y and Z enter a partnership. X contributes Rs. 3200 for 4 months, Y contributes Rs. 5100 for 3 months, and Z contributes Rs. 2700 for 5 months. The total profit is Rs. 1248. Find X's share.
Answer:
Rs. 384
Ratio = (3200*4) : (5100*3) : (2700*5) = 12800 : 15300 : 13500 = 128 : 153 : 135. Total parts = 416. X's share = (128/416) * 1248 = 128 * 3 = Rs. 384.
4748
A started a business with Rs. 10,000. B joins after 2 months with Rs. 20,000. C joins after another 2 months with Rs. 30,000. If the total profit is Rs. 11,200, find C's share.
Answer:
Rs. 4800
Time: A = 12, B = 10, C = 8. Ratio = (10*12) : (20*10) : (30*8) = 120 : 200 : 240 = 6 : 10 : 12 = 3 : 5 : 6. Total parts = 14. 12000 / 14 is not integer. Let's adjust total profit to Rs. 14000. C's share = (6/14)*14000 = 6000. Or profit = 11200, C's = 4800.
4749
A, B and C invest in a business. A's investment is 3 times B's, and B's investment is 2/3 of C's. If the total profit is Rs. 6600, find B's share.
Answer:
Rs. 1200
Let C = 3x. B = 2x. A = 6x. Ratio A:B:C = 6:2:3. Total parts = 11. B's share = (2/11) * 6600 = Rs. 1200.
4750
P and Q start a business with Rs. 50,000 and Rs. 40,000. After 4 months, P withdraws half his capital and Q adds half his capital. R joins with Rs. 70,000. After a year, what is the profit ratio of P, Q and R?
Answer:
All of the above
P = (50*4) + (25*8) = 200 + 200 = 400. Q = (40*4) + (60*8) = 160 + 480 = 640. R = 70*8 = 560. Ratio = 400:640:560 = 40:64:56. Wait, Q is 640. So 40:64:56 => 5:8:7. Option a has 68. Let me re-read. Q adds half his capital. 40 + 20 = 60. 60*8 = 480. 160+480 = 640. Let me change option a to 40:64:56.