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
4711
A and B invest in ratio 5:6. After 4 months, A withdraws 1/5 of his capital and B adds 1/6 of his capital. Profit ratio?
Answer:
13:20
A = (5*4) + (4*8) = 20 + 32 = 52. B = (6*4) + (7*8) = 24 + 56 = 80. Ratio = 52 : 80 = 13 : 20. Wait, 13:20 is not in options. Let me recalculate. 5*4 + 4*8 = 52. 6*4 + 7*8 = 80. 52:80 = 13:20. Let me add option D as 13:20.
4712
A, B and C invest Rs. 6000, Rs. 8000 and Rs. 10000. After 6 months A adds Rs. 2000, B withdraws Rs. 2000. What is C's share out of Rs. 9600 profit?
Answer:
Rs. 4000
A = (6*6) + (8*6) = 84. B = (8*6) + (6*6) = 84. C = 10 * 12 = 120. Ratio = 84:84:120 = 7:7:10. Total parts = 24. C's share = (10/24) * 10400 = 4333.33. Not integer. Let's make profit Rs. 9600. C's share = (10/24)*9600 = 4000.
4713
X, Y, Z invest Rs. 15000, Rs. 20000, Rs. 25000. X gets 20% of profit for managing. If total profit is Rs. 12000, find X's total share.
Answer:
Rs. 4800
X's salary = 2400. Remaining profit = 9600. Ratio = 3:4:5. Total parts = 12. X's profit share = (3/12) * 9600 = 2400. Total X = 2400 + 2400 = Rs. 4800.
4714
A and B invest in ratio 2:3. B invested for 12 months. If A's profit is half of B's profit, for how many months did A invest?
Answer:
9 months
Let A's time be t. (2 * t) / (3 * 12) = 1/2 => 2t / 36 = 1/2 => 4t = 36 => t = 9 months.
4715
A, B and C invest in ratio 3:4:5. C gets Rs. 3000 more than A. Total profit?
Answer:
Rs. 18000
Difference C and A = 5 - 3 = 2 parts. 2 parts = 3000 => 1 part = 1500. Total profit = 12 parts = 12 * 1500 = Rs. 18000.
4716
M and N invest Rs. 20000 and Rs. 25000. After 6 months M adds Rs. 5000 and N adds Rs. 5000. Profit is Rs. 16000. Find M's share.
Answer:
Rs. 7200
M = (20*6) + (25*6) = 120 + 150 = 270. N = (25*6) + (30*6) = 150 + 180 = 330. Ratio = 270 : 330 = 9 : 11. Total parts = 20. M's share = (9/20) * 16200 = 9 * 810 = Rs. 7290. Let me check the options. Option A is 7200. I'll make the profit Rs. 16000. M's share = (9/20)*16000 = 7200.
4717
A, B and C invest Rs. 5000, Rs. 6000 and Rs. 7000. After 4 months A withdraws Rs. 1000. After 8 months B adds Rs. 1000. C invests for the whole year. Profit ratio?
Answer:
52:76:84
A = (5*4) + (4*8) = 20 + 32 = 52. B = (6*8) + (7*4) = 48 + 28 = 76. C = 7 * 12 = 84. Ratio = 52 : 76 : 84.
4718
X and Y invest in the ratio 4:5. X invests for 10 months and Y invests for 8 months. What is the ratio of their profits?
Answer:
1:1
Profit ratio = (4 * 10) : (5 * 8) = 40 : 40 = 1 : 1.
4719
A, B and C invest Rs. 15000, Rs. 20000 and Rs. 25000 in a business. A gets 15% of profit and B gets 10% of profit for managing. The rest is shared by capital. If total profit is Rs. 12000, what is C's share?
Answer:
Rs. 3750
Total salary = 25% of 12000 = 3000. Remaining profit = 9000. Ratio = 15:20:25 = 3:4:5. Total parts = 12. C's share = (5/12) * 9000 = 5 * 750 = Rs. 3750.
4720
P and Q start a business investing Rs. 40000 and Rs. 50000. After 4 months, P withdraws Rs. 10000 and Q withdraws Rs. 10000. Find their profit ratio at the end of the year.
Answer:
10:13
P = (40*4) + (30*8) = 160 + 240 = 400. Q = (50*4) + (40*8) = 200 + 320 = 520. Ratio = 400 : 520 = 10 : 13.