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
4791
X, Y and Z invest in a business. X invests Rs. 5000 for whole year, Y invests Rs. 4000 initially and adds Rs. 2000 after 6 months. Z invests Rs. 8000 initially and withdraws Rs. 4000 after 6 months. What is the ratio of their profits?
Answer:
5:5:6
X = 5000 * 12 = 60000. Y = (4000*6) + (6000*6) = 24000 + 36000 = 60000. Z = (8000*6) + (4000*6) = 48000 + 24000 = 72000. Ratio = 60 : 60 : 72 = 5 : 5 : 6.
4792
A, B and C started a business with investments of Rs. 1500, Rs. 2500 and Rs. 3000 respectively. A receives 10% of the profit as salary. B and C receive 5% each. The rest is divided in ratio of capital. Total profit is Rs. 7000. Find C's total share.
Answer:
Rs. 2750
Total salary given = 10% + 5% + 5% = 20% of 4000 = 800. Remaining profit = 3200. Ratio = 15:25:30 = 3:5:6. Total parts = 14. 3200 / 14 is not integer. Let's make profit 3500. 20% = 700. Rem = 2800. C's profit share = (6/14)*2800 = 1200. C's total = 1200 + 175 = 1375. Let's change total profit to 7000. 20% = 1400. Rem = 5600. C's profit = (6/14)*5600 = 2400. C's salary = 5% of 7000 = 350. Total C = 2750. Let's create an exact matching question.
4793
P and Q invest in a business. P invests Rs. 4000 for 8 months and Q invests Rs. 6000 for 4 months. If the profit is Rs. 2800, what is the difference between their shares?
Answer:
Rs. 400
Ratio = (4000*8) : (6000*4) = 32 : 24 = 4 : 3. Total parts = 7. Difference = 1 part. 1 part = 2800 / 7 = Rs. 400. Wait, option D is 500. Let me check: 1 part = 400. Option c is 400. Let me mark C.
4794
A is a working partner and B is a sleeping partner. A invests Rs. 5000 and B invests Rs. 6000. A gets 12.5% of the profit for managing the business. If total profit is Rs. 880, what is A's total share?
Answer:
Rs. 460
A's salary = 12.5% of 880 = 1/8 * 880 = 110. Remaining profit = 880 - 110 = 770. Ratio of investment = 5:6. Total parts = 11. A's profit share = (5/11) * 770 = 350. Total A = 110 + 350 = Rs. 460.
4795
A and B started a business with Rs. 15000 and Rs. 20000. After 4 months, C joins with Rs. 22500. After 9 months from the start, B withdraws his capital. If the total profit at the end of the year is Rs. 18000, find B's share.
Answer:
Rs. 6000
A's time = 12, B's time = 9, C's time = 8. Ratio = (15000*12) : (20000*9) : (22500*8) = 180000 : 180000 : 180000 = 1:1:1. B's share = 18000 / 3 = Rs. 6000.
4796
A and B invest in a business in the ratio 4:5. After 10 months, B leaves the business. If the profit is distributed in the ratio 6:5, for how many months did A keep his money in the business?
Answer:
15 months
Let A's time be t. (4 * t) / (5 * 10) = 6 / 5 => 4t / 50 = 6 / 5 => 20t = 300 => t = 15 months.
4797
Three partners A, B, C start a business. Twice A's capital is equal to thrice B's capital, and B's capital is four times C's capital. Out of a total profit of Rs. 16500, what is B's share?
Answer:
Rs. 6000
2A = 3B and B = 4C. Let C = x. Then B = 4x. A = 3B/2 = 6x. Ratio A:B:C = 6x : 4x : x = 6:4:1. Total parts = 11. B's share = (4/11) * 16500 = 4 * 1500 = Rs. 6000.
4798
A, B and C invest Rs. 2000, Rs. 3000 and Rs. 4000 in a business. After one year, A removed his money. After 2 years, B and C distributed the total profit of Rs. 4800 among all three. What is C's share?
Answer:
Rs. 2400
Time: A = 1 yr, B = 2 yrs, C = 2 yrs. Ratio = (2000*1) : (3000*2) : (4000*2) = 2000 : 6000 : 8000 = 1 : 3 : 4. Total parts = 8. C's share = (4/8) * 3900 = 1/2 * 3900 = Rs. 1950. Let's adjust total profit to Rs. 4800. C's share = 2400.
4799
In a business, A invested Rs. 12000 for 8 months and B invested Rs. 16000 for some time. If they shared the profit equally, for how many months did B invest his money?
Answer:
6 months
Since profits are equal, their equivalent investments must be equal. 12000 * 8 = 16000 * t. 96000 = 16000t => t = 6 months.
4800
X starts a business with Rs. 10000. Y joins after 4 months with Rs. 15000. Z joins after another 2 months with Rs. 20000. At the end of the year, the profit is Rs. 9000. What is X's share?
Answer:
Rs. 3000
Time: X = 12, Y = 8, Z = 6. Ratio = (10000*12) : (15000*8) : (20000*6) = 120 : 120 : 120 = 1 : 1 : 1. Profit is divided equally. X's share = 9000 / 3 = Rs. 3000.