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
4801
A, B and C start a business. A invests Rs. 20000 for 6 months, B invests Rs. 30000 for 5 months, and C invests Rs. 40000 for 3 months. Find the share of A in a profit of Rs. 7800.
Answer:
Rs. 2400
Ratio = (20000*6) : (30000*5) : (40000*3) = 120 : 150 : 120 = 12 : 15 : 12 = 4 : 5 : 4. Total parts = 13. A's share = (4/13) * 7800 = 4 * 600 = Rs. 2400.
4802
P and Q start a business with investments of Rs. 15000 and Rs. 25000. After 4 months, R joins them with Rs. 20000. If the total profit after 1 year is Rs. 16000, what is R's share?
Answer:
Rs. 4000
P's time = 12, Q's time = 12, R's time = 8. Ratio = (15000*12) : (25000*12) : (20000*8) = 180 : 300 : 160 = 9 : 15 : 8. Total parts = 32. Profit = Rs 16000 for integer answer. R's share = 8/32 * 16000 = Rs. 4000.
4803
A, B, and C invest their capitals in a business in the ratio 4:5:6. At the end of the term, they receive their profit in the ratio 2:3:4. Find the ratio of the time periods for which they contributed their capitals.
Answer:
15:18:20
Time = Profit / Capital. Ratio = 2/4 : 3/5 : 4/6 = 1/2 : 3/5 : 2/3. Multiply by LCM 30: 15 : 18 : 20.
4804
In a business, A and B invested in the ratio 5:4. At the end of 8 months, A withdraws his capital. If they share the profit in the ratio 5:6, for how many months did B invest?
Answer:
12 months
Let B's time be t. (5 * 8) / (4 * t) = 5 / 6 => 40 / 4t = 5 / 6 => 10 / t = 5 / 6 => 5t = 60 => t = 12 months.
4805
A, B and C enter into a partnership. A advances one-third of the capital for one-third of the time. B advances one-sixth of the capital for one-sixth of the time. C advances the remaining capital for the whole time. If the total profit is Rs. 6900, find A's share.
Answer:
Rs. 1200
C's capital = 1 - (1/3 + 1/6) = 1/2. Profit ratio = (1/3 * 1/3) : (1/6 * 1/6) : (1/2 * 1) = 1/9 : 1/36 : 1/2. Multiply by 36: 4 : 1 : 18. Total parts = 23. Let's make profit Rs. 6900 for an integer answer. A's share = (4/23) * 6900 = 1200.
4806
Three partners A, B and C share a profit of Rs. 4200. A invested Rs. 1500 for 4 months, B invested Rs. 1200 for 6 months, and C invested Rs. 2400 for 5 months. What is B's share?
Answer:
Rs. 1200
Ratio = (1500*4) : (1200*6) : (2400*5) = 6000 : 7200 : 12000 = 5 : 6 : 10. Total parts = 21. B's share = (6/21) * 4800. 4800/21 is not integer. Let's use total profit = Rs. 4200. B's share = (6/21)*4200 = 1200.
4807
A, B and C enter into a partnership. A invests Rs. 8000, B invests Rs. 10000, and C invests Rs. 12000. A is the manager and gets 15% of the total profit. The remaining profit is divided among them in the ratio of their investments. If the total profit is Rs. 15000, what is A's total share?
Answer:
Rs. 5650
A's salary = 15% of 15000 = 2250. Remaining profit = 12750. Ratio = 8:10:12 = 4:5:6. Total parts = 15. A's profit share = (4/15) * 12750 = 4 * 850 = 3400. Total A gets = 2250 + 3400 = Rs. 5650.
4808
A invests Rs. 5000 in a business. After 4 months B joins him with Rs. 6000. After another 4 months C joins them with Rs. 8000. At the end of the year, what will be the ratio of their profits?
Answer:
15:12:8
A's time = 12 months. B's time = 8 months. C's time = 4 months. Ratio = (5000*12) : (6000*8) : (8000*4) = 60000 : 48000 : 32000 = 60 : 48 : 32 = 15 : 12 : 8.
4809
A, B and C invest in a business. A invests Rs. 3000 for 5 months, B invests Rs. 4000 for 6 months, and C invests Rs. 5000 for 4 months. If the total profit is Rs. 2950, what is the difference between B and C's share?
Answer:
Rs. 200
Ratio = (3000*5) : (4000*6) : (5000*4) = 15 : 24 : 20. Total parts = 59. 1 part = 2950 / 59 = 50. Difference between B and C = 24 - 20 = 4 parts. 4 * 50 = Rs. 200.
4810
Two partners invest Rs. 26000 and Rs. 16250 in a business. They agree that 40% of the profit should be divided equally and the rest in proportion to their capitals. If one partner gets Rs. 540 more than the other, find the total profit.
Answer:
Rs. 3900
Ratio = 26000 : 16250 = 8 : 5. Difference in ratio = 3 parts. Sum of ratio = 13 parts. Only 60% of profit (0.6P) is divided in this ratio. The difference is (3/13) of 0.6P = 600. So 0.6P = 2600 => P = 2600 / 0.6 = 4333.33. Wait, 3/13 * 0.6P = 600. 0.6P = 2600 => P = 4333. Let's fix the question: one partner gets Rs. 450 more. Then 0.6P = 1950, P = 3250. Let's use Rs. 3900 total profit. 0.6*3900 = 2340. Diff = 3/13 * 2340 = 540. Let's make difference Rs. 540.