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
4701
A and B invest Rs. 18000 and Rs. 24000. After 4 months A adds Rs. 2000. After 8 months B withdraws Rs. 4000. If profit is Rs. 12600, find B's share.
Answer:
Rs. 6800
A = (18*4) + (20*8) = 72 + 160 = 232. B = (24*8) + (20*4) = 192 + 80 = 272. Ratio = 232 : 272 = 29 : 34. Total parts = 63. Wait. 13800/63 is not integer. Let me adjust profit to Rs. 12600. B's share = (34/63)*12600 = 6800.
4702
X starts a business with Rs. 40000. Y joins after 2 months with Rs. 50000. Z joins after 4 months with Rs. 60000. Ratio of profits at end of year?
Answer:
24:25:24
X=12 months, Y=10 months, Z=8 months. Ratio = (40*12) : (50*10) : (60*8) = 480 : 500 : 480 = 24 : 25 : 24.
4703
A, B, C start a business. A invests Rs. 12000 for 4 months, B Rs. 14000 for 5 months, C Rs. 16000 for 6 months. Profit is Rs. 10700. C's share?
Answer:
Rs. 4800
Ratio = (12*4) : (14*5) : (16*6) = 48 : 70 : 96 = 24 : 35 : 48. Total parts = 107. C's share = (48/107) * 10700 = Rs. 4800.
4704
P and Q invest in a business. P invests 2/5 of total capital for 6 months. Q invests rest for 10 months. Profit is Rs. 4200. Find P's share.
Answer:
Rs. 1200
P's cap = 2/5, Q's cap = 3/5. Profit ratio = (2/5 * 6) : (3/5 * 10) = 12 : 30 = 2 : 5. Total parts = 7. P's share = (2/7) * 4200 = 2 * 600 = Rs. 1200.
4705
A, B and C invest Rs. 15000, Rs. 25000 and Rs. 35000. B gets Rs. 2000 more than A. Total profit?
Answer:
Rs. 15000
Ratio = 15:25:35 = 3:5:7. B - A = 5 - 3 = 2 parts. 2 parts = 2000 => 1 part = 1000. Total profit = 15 parts = 15 * 1000 = Rs. 15000.
4706
M invests Rs. 20000 and N invests Rs. 30000. M gets 20% of profit for managing. Rest is shared by capital. If M gets Rs. 3900, find total profit.
Answer:
Rs. 7500
M gets 0.2P as salary. Rem = 0.8P. Ratio = 2:3. M's profit share = (2/5)*0.8P = 0.32P. Total M = 0.2P + 0.32P = 0.52P. 0.52P = 3800 => P = 3800 / 0.52 = 7307.69. Not integer. Let's adjust total profit. Let total profit be Rs. 7500. M's salary = 1500. Rem = 6000. M's profit = (2/5)*6000 = 2400. M's total = 3900. I'll make M's total Rs. 3900.
4707
A and B start a business. A invests Rs. 4000 for 8 months. B invests Rs. 6000 for 10 months. C joins after 6 months with Rs. 8000. Profit ratio?
Answer:
8:15:12
A = 4000 * 8 = 32000. B = 6000 * 10 = 60000. C = 8000 * 6 = 48000. Ratio = 32 : 60 : 48 = 8 : 15 : 12.
4708
X, Y, Z invest Rs. 10000, Rs. 12000, Rs. 14000. After 6 months X adds Rs. 2000, Y adds Rs. 3000, Z adds Rs. 4000. Find the profit ratio.
Answer:
22:27:32
X = (10*6) + (12*6) = 132. Y = (12*6) + (15*6) = 162. Z = (14*6) + (18*6) = 192. Ratio = 132 : 162 : 192. Divide by 6: 22 : 27 : 32.
4709
A, B and C invest Rs. 5000, Rs. 7000 and Rs. 9000. If A's profit is Rs. 1500, what is total profit?
Answer:
Rs. 6300
Ratio = 5:7:9. A's share is 5 parts = 1500 => 1 part = 300. Total profit = 21 parts = 21 * 300 = Rs. 6300.
4710
P, Q, R invest Rs. 12000, Rs. 15000, Rs. 18000. R is active partner and gets 10% of profit. If total profit is Rs. 9000, what is R's total share?
Answer:
Rs. 4140
R's salary = 900. Remaining profit = 8100. Ratio = 12:15:18 = 4:5:6. Total parts = 15. R's profit = (6/15) * 8100 = 6 * 540 = 3240. Total R = 900 + 3240 = Rs. 4140.