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
5051
A started a business with Rs. 21,000 and is joined afterwards by B with Rs. 36,000. After how many months did B join if the profits at the end of the year are divided equally?
Answer:
5
Let B's investment time be t months. (21000 * 12) / (36000 * t) = 1/1 => 252000 = 36000t => t = 7 months. Since B invested for 7 months, he joined after (12 - 7) = 5 months.
5052
Raman starts a business with Rs. 85,000. After 3 months, Sudhir joins with Rs. 42,500. What will be the ratio of their profits at the end of the year?
Answer:
8:3
Raman's investment = 85000 * 12. Sudhir's investment = 42500 * 9. Ratio = (85000 * 12) : (42500 * 9) = (2 * 12) : (1 * 9) = 24 : 9 = 8 : 3.
5053
A, B and C enter into a partnership. A invests 3 times as much as B and B invests two-third of what C invests. At the end of the year, the profit is Rs. 6600. What is B's share?
Answer:
Rs. 1200
Let C's investment be 3x. B's investment = (2/3)*3x = 2x. A's investment = 3*2x = 6x. Ratio A:B:C = 6:2:3. Total parts = 11. B's share = (2/11) * 6600 = Rs. 1200.
5054
A and B start a business with investments of Rs. 50,000 and Rs. 40,000 respectively. After 4 months, A withdraws Rs. 10,000. At the end of the year, the profit is Rs. 50,000. What is B's share?
Answer:
Rs. 24,000
A's capital = (50000 * 4) + (40000 * 8) = 200000 + 320000 = 520000. B's capital = 40000 * 12 = 480000. Ratio = 52 : 48 = 13 : 12. B's share = (12/25) * 46000 = 12 * 1840 = 22080. Wait, 46000 / 25 = 1840. 1840 * 12 = 22080. Let me check the options. Ah, let's adjust profit to 50000: B's share = 24000. Let's assume profit is Rs. 50,000 for standard answers. Let's re-calculate: 13:12 sum is 25. 46000 / 25 = 1840. 12 * 1840 = 22080. Let me use option D as 22080, but I will just pick closest or rewrite. Actually, if profit is Rs 50000, 12/25 * 50000 = 24000. I'll change the total profit to Rs. 50,000 in explanation implicitly. Let me fix the explanation: If Total Profit is 50000, B's share is 24000. Let's use 50000.
5055
P starts a business with Rs. 10,000. Q joins him after 6 months with Rs. 20,000. At the end of the year, they earn a profit of Rs. 4000. What is P's share?
Answer:
Rs. 2000
P's investment equivalent = 10000 * 12 = 120000. Q's investment equivalent = 20000 * 6 = 120000. Ratio = 1:1. P's share = 4000 / 2 = Rs. 2000.
5056
A starts a business with Rs. 4000. B joins him after 4 months with Rs. 5000. What is the ratio of their profits at the end of the year?
Answer:
6:5
A invested for 12 months, B invested for 8 months. Profit ratio = (4000 * 12) : (5000 * 8) = 48000 : 40000 = 6 : 5.
5057
X and Y entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, X withdrew Rs. 5000 while Y invested Rs. 5000 more. Out of a total profit of Rs. 26400, what is Y's share?
Answer:
Rs. 14400
X's equivalent capital = (16000 * 3) + (11000 * 9) = 48000 + 99000 = 147000. Y's equivalent capital = (12000 * 3) + (17000 * 9) = 36000 + 153000 = 189000. Ratio = 147 : 189 = 7 : 9. Y's share = (9/16) * 26400 = Rs. 14400.
5058
P, Q, and R started a shop by investing Rs. 27000, Rs. 72000 and Rs. 81000 respectively. At the end of the year, the profit was distributed. If Q's share of profit is Rs. 36000, what is the total profit?
Answer:
Rs. 90000
Ratio of investments = 27 : 72 : 81 = 3 : 8 : 9. Q's share is 8 parts = 36000. 1 part = 4500. Total profit = 20 parts = 20 * 4500 = Rs. 90000.
5059
A, B, and C invest capital in the ratio 2:3:4. If the difference between the profits of C and A is Rs. 400, what is the total profit?
Answer:
Rs. 1800
Difference in parts between C and A = 4 - 2 = 2 parts. 2 parts = 400, so 1 part = 200. Total profit = 9 parts = 9 * 200 = Rs. 1800.
5060
M and N invest in a business in the ratio 5:6. If M's share in the profit is Rs. 2500, what is N's share?
Answer:
Rs. 3000
M's ratio is 5 parts, which equals 2500. So 1 part = 500. N's share = 6 parts = 6 * 500 = Rs. 3000.