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
4761
Raju, Shyam and Hari entered into a partnership investing Rs. 15000, Rs. 18000 and Rs. 24000. After 6 months, Raju adds Rs. 5000. What will be the ratio of their profits at the end of the year?
Answer:
35:36:48
Raju = (15000*6) + (20000*6) = 90000 + 120000 = 210000. Shyam = 18000 * 12 = 216000. Hari = 24000 * 12 = 288000. Ratio = 210 : 216 : 288. Divide by 6 = 35 : 36 : 48.
4762
A, B and C are partners. A receives 2/5 of the profit, B receives 1/3 of the profit, and C receives the remaining Rs. 1200. What is A's share?
Answer:
Rs. 1800
C's share of profit = 1 - (2/5 + 1/3) = 1 - 11/15 = 4/15. Let total profit be P. (4/15)P = 1200 => P = 4500. A's share = (2/5) * 4500 = Rs. 1800.
4763
X and Y invest in a business in the ratio 3:2. If 10% of total profit goes to charity and X's share is Rs. 1350, the total profit is:
Answer:
Rs. 2500
Profit after charity = 90% of P. X's share = (3/5) * 0.90P = 0.54P. Given 0.54P = 1350 => P = 1350 / 0.54 = Rs. 2500.
4764
A, B and C invest Rs. 5000, Rs. 6000 and Rs. 4000 respectively in a business. A gets 30% of the profit for managing the business. The remaining profit is distributed according to their investments. If the total profit is Rs. 5000, what is the total amount received by A?
Answer:
Rs. 2666
A's salary = 30% of 5000 = 1500. Remaining profit = 3500. Ratio = 5:6:4. Total parts = 15. A's profit share = (5/15) * 3500 = 1/3 * 3500 = 1166.67. Total = 1500 + 1166.67 = 2666.67.
4765
P starts a business with Rs. 4000. After some months, Q joins with Rs. 5000. If the profit is distributed equally at the end of the year, after how many months did Q join?
Answer:
2.4 months
Let Q's time be t. (4000*12) / (5000*t) = 1/1 => 48000 = 5000t => t = 9.6 months. Q joined after 12 - 9.6 = 2.4 months.
4766
A invests Rs. 3000 for 12 months. B invests Rs. 4000 for 9 months. C invests Rs. 5000 for 6 months. If they earn a total profit of Rs. 5100, what is B's share?
Answer:
Rs. 1800
Ratio = (3000*12) : (4000*9) : (5000*6) = 36 : 36 : 30 = 6 : 6 : 5. Total parts = 17. B's share = (6/17) * 5100 = 6 * 300 = Rs. 1800.
4767
A and B entered into a partnership investing Rs. 10000 and Rs. 15000. After 3 months, A adds Rs. 5000 and B adds Rs. 5000. What is the ratio of their profits at the end of the year?
Answer:
11:15
A = (10000*3) + (15000*9) = 30000 + 135000 = 165000. B = (15000*3) + (20000*9) = 45000 + 180000 = 225000. Ratio = 165 : 225 = 33 : 45 = 11 : 15. Let me re-divide: 165 / 15 = 11. 225 / 15 = 15. So 11:15. I'll pick A.
4768
P, Q and R start a business. P invests 3 times as much as Q invests and Q invests 2/3rd of what R invests. Find the ratio of capitals of P, Q and R.
Answer:
6:2:3
Let R = 3x. Then Q = 2x. P = 3 * 2x = 6x. Ratio P:Q:R = 6x : 2x : 3x = 6:2:3.
4769
A, B and C invest in a business. The investment of A is twice the investment of B and the investment of B is thrice the investment of C. If the total profit is Rs. 10000, find the share of B.
Answer:
Rs. 3000
Let C = x. Then B = 3x and A = 6x. Ratio A:B:C = 6:3:1. Total parts = 10. B's share = (3/10) * 10000 = Rs. 3000.
4770
In a partnership, A invests Rs. 50,000 for 6 months, B invests Rs. 60,000 for 4 months, and C invests Rs. 80,000 for 5 months. If the total profit is Rs. 47,000, what is A's share?
Answer:
Rs. 15,000
Ratio = (50*6) : (60*4) : (80*5) = 300 : 240 : 400 = 30 : 24 : 40 = 15 : 12 : 20. Total parts = 47. A's share = (15/47) * 47000 = Rs. 15,000.