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
4731
A and B entered into a business. A invested Rs. 8000 and B invested Rs. 10000. After 6 months A adds Rs. 2000 and B adds Rs. 2000. What is their profit ratio at the end of the year?
Answer:
9:11
A = (8000*6) + (10000*6) = 108000. B = (10000*6) + (12000*6) = 132000. Ratio = 108 : 132 = 9 : 11.
4732
X, Y and Z enter into a partnership. X invests Rs. 6000 for 5 months, Y invests Rs. 5000 for 6 months, and Z invests Rs. 4000 for 8 months. What is Y's share out of a total profit of Rs. 4600?
Answer:
Rs. 1500
Ratio = (6000*5) : (5000*6) : (4000*8) = 30 : 30 : 32 = 15 : 15 : 16. Total parts = 46. Y's share = (15/46) * 4600 = 15 * 100 = Rs. 1500.
4733
A, B and C invest Rs. 10000, Rs. 15000 and Rs. 20000 in a business. A acts as a manager and receives 10% of profit. B and C receive 5% each. If the total profit is Rs. 9000, find A's total share.
Answer:
Rs. 2500
Total salary given = 20% of 9000 = 1800. Remaining profit = 7200. Ratio = 10:15:20 = 2:3:4. Total parts = 9. A's profit = (2/9)*7200 = 1600. A's salary = 10% of 9000 = 900. Total A = 1600 + 900 = Rs. 2500.
4734
A started a business with Rs. 15000. B joined after 6 months with Rs. 20000. What is the ratio of their profits at the end of the year?
Answer:
3:2
Ratio = (15000*12) : (20000*6) = 180000 : 120000 = 3 : 2.
4735
P, Q, R start a business. P invests Rs. 12000 for 6 months. Q invests Rs. 15000 for 8 months. R invests Rs. 18000 for 10 months. If the total profit is Rs. 12400, find the share of P.
Answer:
Rs. 2400
Ratio = (12000*6) : (15000*8) : (18000*10) = 72 : 120 : 180 = 6 : 10 : 15. Total parts = 31. P's share = (6/31) * 12400 = 6 * 400 = Rs. 2400.
4736
A, B and C invest in the ratio 2:3:4. The ratio of their time periods is 3:4:5. Find the ratio of their profits.
Answer:
3:6:10
Profit ratio = (2*3) : (3*4) : (4*5) = 6 : 12 : 20 = 3 : 6 : 10.
4737
X and Y are partners. X invests Rs. 5000 for 12 months. Y invests Rs. 6000 for 5 months. If the profit of X is Rs. 1200, find the total profit.
Answer:
Rs. 1800
Ratio = (5000*12) : (6000*5) = 60 : 30 = 2 : 1. X's share is 2 parts = 1200 => 1 part = 600. Total profit = 3 parts = Rs. 1800.
4738
A, B and C invest Rs. 5000, Rs. 6000 and Rs. 4000. A is an active partner and gets 15% of the total profit. If total profit is Rs. 4500, what is A's total share?
Answer:
Rs. 1950
A's salary = 15% of 4000 = 600. Remaining profit = 3400. Ratio = 5:6:4. Total parts = 15. A's profit = (5/15) * 3400 = 1/3 * 3400 = 1133.33. Total A = 600 + 1133.33 = Rs. 1733.33. My options don't match. Let's make total profit 4500. A's salary = 675. Rem = 3825. A's profit = 1/3 * 3825 = 1275. Total = 1950. Let's use 4500.
4739
A starts a business with Rs. 21000. B joins later with Rs. 36000. If the profit is divided equally at the end of the year, for how many months did B invest his money?
Answer:
7 months
Let B's time be t. (21000 * 12) / (36000 * t) = 1/1 => 252000 = 36000t => t = 7 months.
4740
X, Y and Z enter into a partnership. X invests Rs. 8000 for 12 months, Y invests Rs. 10000 for 9 months and Z invests Rs. 12000 for 6 months. If the total profit is Rs. 8600, find Y's share.
Answer:
Rs. 3000
Ratio = (8000*12) : (10000*9) : (12000*6) = 96 : 90 : 72 = 32 : 30 : 24 = 16 : 15 : 12. Total parts = 43. Y's share = (15/43) * 8600 = 15 * 200 = Rs. 3000.