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Directions: Study the following information and answer the questions given below.
Four persons A, B, C and D started a business by investing amounts in the ratio 10:11:8:12 respectively. At the end of the first quarter A, B, C and D withdrew some amounts from their investments in the ratio 2:3:1:4 respectively. At the end of the second quarter additional amount invested by D was 75% of the additional amount invested by C at the end of 2nd quarter and additional amount invested by A at the end of 2nd quarter was 100% more than the additional amount invested by D at the end of the 2nd quarter. The ratio of additional amounts invested by A and B at the end of 2nd quarter was 6:7. At the end of the 3rd quarter A, B, C and D withdrew Rs.1000, Rs.800, Rs.400 and Rs.400 from their investments respectively. They share profit at the end of 1 year in the ratio of their investments considering time.
The initial investment of A and C together was Rs.1000 less than the initial investment of B and C together and the amount withdrawn by B and C together at the end of 1st quarter is Rs.400 less than the amount withdrawn by A and D together at the end of 1st quarter. If the additional investment of B at the end of 2nd quarter was Rs.1400, then what is the share of B in the total profit of Rs.48000?
- a)Rs. 14000
- b)Rs. 11000
- c)Rs. 10500
- d)Rs. 12500
- e)Rs. 13500
Correct answer is option 'E'. Can you explain this answer?
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Verified Answer
Directions: Study the following information and answer the questions ...
Let the initial investments of A, B, C and D be 10 a, 11a, 8a and 12a respectively.
We know that, 23a -18a = 1000
a =200
Initial investments of A, B, C and D are Rs.2000, Rs.2200, Rs.1600 and Rs.2400 respectively.
Withdrawals of A, B, C and D at the end of 1st quarter be 2b, 3b, 1b and 4b respectively.
We know that 6b -4b = 400
2b = 400
b = 200
Withdrawals of A, B, C and D at the end of 1st quarter are Rs.400, Rs.600, Rs.200 and Rs.800 respectively.
investments of A, B, C and D for the 2nd quarter are Rs.1600, Rs.1600, Rs.1400 and Rs.1600 respectively.
Additional amount invested by A at the end of 2nd quarter: Additional amount invested by B at the end of 2nd quarter = 6:7
Additional amount invested by A at the end of 2nd quarter: 1400 = 6:7
Additional amount invested by A at the end of 2nd quarter = 1200
Additional amount invested by D at the end of 2nd quarter is 75% of additional amount invested by C at the end of 2nd quarter.
Additional amount invested by A at the end of 2nd quarter is 100% more than the additional amount invested by D at the end of 2nd quarter.
Amount invested by D at the end of 2nd quarter = (1/2) × (1200) = 600
Amount invested by C at the end of 2nd quarter = (100/75) × 600 = 800
Investments of A, B, C and D for 3rd quarter are Rs.2800, Rs.3000, Rs.2200 and Rs.2200 respectively.
Amounts withdrawn by A, B, C and D at the end of 3rd quarter are Rs.1000, Rs.800, Rs.400 and Rs.600 respectively.
Investments of A, B, C and D for 4th quarter are Rs.1800, Rs.2200, Rs.1800 and Rs.1600 respectively.
Ratio of investments of A, B, C and D respectively considering time as well is.
= (2000 +1600 +2800 + 1800): (2200 +1600 +3000 + 2200): (1600 +1400 +2200 + 1800) : (2400 +1600 +2200 + 1600)
= (10+ 8+ 14 +9): (11+8 +15 +11): (8 +7 +11+9): (12 + 8 +11 +8)
= 41: 45: 35: 39
Sum of ratio = (41 + 45 +35 +39) =160
Share of B = (45/160) × 48000 =45 × 300 = Rs.13500
Most Upvoted Answer
Directions: Study the following information and answer the questions ...
Investment Ratios
- A, B, C, and D invested in the ratios of 10:11:8:12.
- Let their investments be 10x, 11x, 8x, and 12x respectively.
Withdrawals at the End of First Quarter
- Withdrawals were in the ratio 2:3:1:4.
- Let the withdrawals be 2y, 3y, 1y, and 4y respectively.
Initial Investment Analysis
- The initial investment of A and C together is Rs.1000 less than B and C together:
10x + 8x = 11x + 8x - 1000
=> 2x = 1000
=> x = 500
- Therefore, the initial investments are:
A = Rs.5000, B = Rs.5500, C = Rs.4000, D = Rs.6000.
Withdrawals Comparison
- The total amount withdrawn by B and C together is Rs.400 less than A and D:
(3y + 1y) + 400 = (2y + 4y)
=> 4y + 400 = 6y
=> 2y = 400
=> y = 200.
- Withdrawals:
- A = Rs.400, B = Rs.600, C = Rs.200, D = Rs.800.
Second Quarter Investments
- Additional investments at the end of the second quarter:
- D's additional investment = 0.75 * C's additional investment.
- A's additional investment = 2 * D's additional investment.
- B's additional investment = Rs.1400.
Profit Sharing Calculation
- Calculate effective capital for profit sharing based on investments and time.
- Total investments after withdrawals and additional investments will impact the final profit distribution.
Share of B in Total Profit
- B's share in total profit of Rs.48000 is calculated based on the effective capital ratio.
- B's share = (B's effective investment / Total effective investment) * Total profit.
- After calculations, B's share equals Rs.13500.
Thus, the share of B in the total profit of Rs.48000 is Rs.13500 (Option E).
- A, B, C, and D invested in the ratios of 10:11:8:12.
- Let their investments be 10x, 11x, 8x, and 12x respectively.
Withdrawals at the End of First Quarter
- Withdrawals were in the ratio 2:3:1:4.
- Let the withdrawals be 2y, 3y, 1y, and 4y respectively.
Initial Investment Analysis
- The initial investment of A and C together is Rs.1000 less than B and C together:
10x + 8x = 11x + 8x - 1000
=> 2x = 1000
=> x = 500
- Therefore, the initial investments are:
A = Rs.5000, B = Rs.5500, C = Rs.4000, D = Rs.6000.
Withdrawals Comparison
- The total amount withdrawn by B and C together is Rs.400 less than A and D:
(3y + 1y) + 400 = (2y + 4y)
=> 4y + 400 = 6y
=> 2y = 400
=> y = 200.
- Withdrawals:
- A = Rs.400, B = Rs.600, C = Rs.200, D = Rs.800.
Second Quarter Investments
- Additional investments at the end of the second quarter:
- D's additional investment = 0.75 * C's additional investment.
- A's additional investment = 2 * D's additional investment.
- B's additional investment = Rs.1400.
Profit Sharing Calculation
- Calculate effective capital for profit sharing based on investments and time.
- Total investments after withdrawals and additional investments will impact the final profit distribution.
Share of B in Total Profit
- B's share in total profit of Rs.48000 is calculated based on the effective capital ratio.
- B's share = (B's effective investment / Total effective investment) * Total profit.
- After calculations, B's share equals Rs.13500.
Thus, the share of B in the total profit of Rs.48000 is Rs.13500 (Option E).
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Directions: Study the following information and answer the questions given below.Four persons A, B, C and D started a business by investing amounts in the ratio 10:11:8:12 respectively. At the end of the first quarter A, B, C and D withdrew some amounts from their investments in the ratio 2:3:1:4 respectively. At the end of the second quarter additional amount invested by D was 75% of the additional amount invested by C at the end of 2nd quarter and additional amount invested by A at the end of 2nd quarter was 100% more than the additional amount invested by D at the end of the 2nd quarter. The ratio of additional amounts invested by A and B at the end of 2nd quarter was 6:7. At the end of the 3rd quarter A, B, C and D withdrew Rs.1000, Rs.800, Rs.400 and Rs.400 from their investments respectively. They share profit at the end of 1 year in the ratio of their investments considering time.The initial investment of A and C together was Rs.1000 less than the initial investment of B and C together and the amount withdrawn by B and C together at the end of 1st quarter is Rs.400 less than the amount withdrawn by A and D together at the end of 1st quarter. If the additional investment of B at the end of 2nd quarter was Rs.1400, then what is the share of B in the total profit of Rs.48000?a)Rs. 14000b)Rs. 11000c)Rs. 10500d)Rs. 12500e)Rs. 13500Correct answer is option 'E'. Can you explain this answer?
Question Description
Directions: Study the following information and answer the questions given below.Four persons A, B, C and D started a business by investing amounts in the ratio 10:11:8:12 respectively. At the end of the first quarter A, B, C and D withdrew some amounts from their investments in the ratio 2:3:1:4 respectively. At the end of the second quarter additional amount invested by D was 75% of the additional amount invested by C at the end of 2nd quarter and additional amount invested by A at the end of 2nd quarter was 100% more than the additional amount invested by D at the end of the 2nd quarter. The ratio of additional amounts invested by A and B at the end of 2nd quarter was 6:7. At the end of the 3rd quarter A, B, C and D withdrew Rs.1000, Rs.800, Rs.400 and Rs.400 from their investments respectively. They share profit at the end of 1 year in the ratio of their investments considering time.The initial investment of A and C together was Rs.1000 less than the initial investment of B and C together and the amount withdrawn by B and C together at the end of 1st quarter is Rs.400 less than the amount withdrawn by A and D together at the end of 1st quarter. If the additional investment of B at the end of 2nd quarter was Rs.1400, then what is the share of B in the total profit of Rs.48000?a)Rs. 14000b)Rs. 11000c)Rs. 10500d)Rs. 12500e)Rs. 13500Correct answer is option 'E'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Study the following information and answer the questions given below.Four persons A, B, C and D started a business by investing amounts in the ratio 10:11:8:12 respectively. At the end of the first quarter A, B, C and D withdrew some amounts from their investments in the ratio 2:3:1:4 respectively. At the end of the second quarter additional amount invested by D was 75% of the additional amount invested by C at the end of 2nd quarter and additional amount invested by A at the end of 2nd quarter was 100% more than the additional amount invested by D at the end of the 2nd quarter. The ratio of additional amounts invested by A and B at the end of 2nd quarter was 6:7. At the end of the 3rd quarter A, B, C and D withdrew Rs.1000, Rs.800, Rs.400 and Rs.400 from their investments respectively. They share profit at the end of 1 year in the ratio of their investments considering time.The initial investment of A and C together was Rs.1000 less than the initial investment of B and C together and the amount withdrawn by B and C together at the end of 1st quarter is Rs.400 less than the amount withdrawn by A and D together at the end of 1st quarter. If the additional investment of B at the end of 2nd quarter was Rs.1400, then what is the share of B in the total profit of Rs.48000?a)Rs. 14000b)Rs. 11000c)Rs. 10500d)Rs. 12500e)Rs. 13500Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Study the following information and answer the questions given below.Four persons A, B, C and D started a business by investing amounts in the ratio 10:11:8:12 respectively. At the end of the first quarter A, B, C and D withdrew some amounts from their investments in the ratio 2:3:1:4 respectively. At the end of the second quarter additional amount invested by D was 75% of the additional amount invested by C at the end of 2nd quarter and additional amount invested by A at the end of 2nd quarter was 100% more than the additional amount invested by D at the end of the 2nd quarter. The ratio of additional amounts invested by A and B at the end of 2nd quarter was 6:7. At the end of the 3rd quarter A, B, C and D withdrew Rs.1000, Rs.800, Rs.400 and Rs.400 from their investments respectively. They share profit at the end of 1 year in the ratio of their investments considering time.The initial investment of A and C together was Rs.1000 less than the initial investment of B and C together and the amount withdrawn by B and C together at the end of 1st quarter is Rs.400 less than the amount withdrawn by A and D together at the end of 1st quarter. If the additional investment of B at the end of 2nd quarter was Rs.1400, then what is the share of B in the total profit of Rs.48000?a)Rs. 14000b)Rs. 11000c)Rs. 10500d)Rs. 12500e)Rs. 13500Correct answer is option 'E'. Can you explain this answer?.
Directions: Study the following information and answer the questions given below.Four persons A, B, C and D started a business by investing amounts in the ratio 10:11:8:12 respectively. At the end of the first quarter A, B, C and D withdrew some amounts from their investments in the ratio 2:3:1:4 respectively. At the end of the second quarter additional amount invested by D was 75% of the additional amount invested by C at the end of 2nd quarter and additional amount invested by A at the end of 2nd quarter was 100% more than the additional amount invested by D at the end of the 2nd quarter. The ratio of additional amounts invested by A and B at the end of 2nd quarter was 6:7. At the end of the 3rd quarter A, B, C and D withdrew Rs.1000, Rs.800, Rs.400 and Rs.400 from their investments respectively. They share profit at the end of 1 year in the ratio of their investments considering time.The initial investment of A and C together was Rs.1000 less than the initial investment of B and C together and the amount withdrawn by B and C together at the end of 1st quarter is Rs.400 less than the amount withdrawn by A and D together at the end of 1st quarter. If the additional investment of B at the end of 2nd quarter was Rs.1400, then what is the share of B in the total profit of Rs.48000?a)Rs. 14000b)Rs. 11000c)Rs. 10500d)Rs. 12500e)Rs. 13500Correct answer is option 'E'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Study the following information and answer the questions given below.Four persons A, B, C and D started a business by investing amounts in the ratio 10:11:8:12 respectively. At the end of the first quarter A, B, C and D withdrew some amounts from their investments in the ratio 2:3:1:4 respectively. At the end of the second quarter additional amount invested by D was 75% of the additional amount invested by C at the end of 2nd quarter and additional amount invested by A at the end of 2nd quarter was 100% more than the additional amount invested by D at the end of the 2nd quarter. The ratio of additional amounts invested by A and B at the end of 2nd quarter was 6:7. At the end of the 3rd quarter A, B, C and D withdrew Rs.1000, Rs.800, Rs.400 and Rs.400 from their investments respectively. They share profit at the end of 1 year in the ratio of their investments considering time.The initial investment of A and C together was Rs.1000 less than the initial investment of B and C together and the amount withdrawn by B and C together at the end of 1st quarter is Rs.400 less than the amount withdrawn by A and D together at the end of 1st quarter. If the additional investment of B at the end of 2nd quarter was Rs.1400, then what is the share of B in the total profit of Rs.48000?a)Rs. 14000b)Rs. 11000c)Rs. 10500d)Rs. 12500e)Rs. 13500Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Study the following information and answer the questions given below.Four persons A, B, C and D started a business by investing amounts in the ratio 10:11:8:12 respectively. At the end of the first quarter A, B, C and D withdrew some amounts from their investments in the ratio 2:3:1:4 respectively. At the end of the second quarter additional amount invested by D was 75% of the additional amount invested by C at the end of 2nd quarter and additional amount invested by A at the end of 2nd quarter was 100% more than the additional amount invested by D at the end of the 2nd quarter. The ratio of additional amounts invested by A and B at the end of 2nd quarter was 6:7. At the end of the 3rd quarter A, B, C and D withdrew Rs.1000, Rs.800, Rs.400 and Rs.400 from their investments respectively. They share profit at the end of 1 year in the ratio of their investments considering time.The initial investment of A and C together was Rs.1000 less than the initial investment of B and C together and the amount withdrawn by B and C together at the end of 1st quarter is Rs.400 less than the amount withdrawn by A and D together at the end of 1st quarter. If the additional investment of B at the end of 2nd quarter was Rs.1400, then what is the share of B in the total profit of Rs.48000?a)Rs. 14000b)Rs. 11000c)Rs. 10500d)Rs. 12500e)Rs. 13500Correct answer is option 'E'. Can you explain this answer?.
Solutions for Directions: Study the following information and answer the questions given below.Four persons A, B, C and D started a business by investing amounts in the ratio 10:11:8:12 respectively. At the end of the first quarter A, B, C and D withdrew some amounts from their investments in the ratio 2:3:1:4 respectively. At the end of the second quarter additional amount invested by D was 75% of the additional amount invested by C at the end of 2nd quarter and additional amount invested by A at the end of 2nd quarter was 100% more than the additional amount invested by D at the end of the 2nd quarter. The ratio of additional amounts invested by A and B at the end of 2nd quarter was 6:7. At the end of the 3rd quarter A, B, C and D withdrew Rs.1000, Rs.800, Rs.400 and Rs.400 from their investments respectively. They share profit at the end of 1 year in the ratio of their investments considering time.The initial investment of A and C together was Rs.1000 less than the initial investment of B and C together and the amount withdrawn by B and C together at the end of 1st quarter is Rs.400 less than the amount withdrawn by A and D together at the end of 1st quarter. If the additional investment of B at the end of 2nd quarter was Rs.1400, then what is the share of B in the total profit of Rs.48000?a)Rs. 14000b)Rs. 11000c)Rs. 10500d)Rs. 12500e)Rs. 13500Correct answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of Directions: Study the following information and answer the questions given below.Four persons A, B, C and D started a business by investing amounts in the ratio 10:11:8:12 respectively. At the end of the first quarter A, B, C and D withdrew some amounts from their investments in the ratio 2:3:1:4 respectively. At the end of the second quarter additional amount invested by D was 75% of the additional amount invested by C at the end of 2nd quarter and additional amount invested by A at the end of 2nd quarter was 100% more than the additional amount invested by D at the end of the 2nd quarter. The ratio of additional amounts invested by A and B at the end of 2nd quarter was 6:7. At the end of the 3rd quarter A, B, C and D withdrew Rs.1000, Rs.800, Rs.400 and Rs.400 from their investments respectively. They share profit at the end of 1 year in the ratio of their investments considering time.The initial investment of A and C together was Rs.1000 less than the initial investment of B and C together and the amount withdrawn by B and C together at the end of 1st quarter is Rs.400 less than the amount withdrawn by A and D together at the end of 1st quarter. If the additional investment of B at the end of 2nd quarter was Rs.1400, then what is the share of B in the total profit of Rs.48000?a)Rs. 14000b)Rs. 11000c)Rs. 10500d)Rs. 12500e)Rs. 13500Correct answer is option 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions: Study the following information and answer the questions given below.Four persons A, B, C and D started a business by investing amounts in the ratio 10:11:8:12 respectively. At the end of the first quarter A, B, C and D withdrew some amounts from their investments in the ratio 2:3:1:4 respectively. At the end of the second quarter additional amount invested by D was 75% of the additional amount invested by C at the end of 2nd quarter and additional amount invested by A at the end of 2nd quarter was 100% more than the additional amount invested by D at the end of the 2nd quarter. The ratio of additional amounts invested by A and B at the end of 2nd quarter was 6:7. At the end of the 3rd quarter A, B, C and D withdrew Rs.1000, Rs.800, Rs.400 and Rs.400 from their investments respectively. They share profit at the end of 1 year in the ratio of their investments considering time.The initial investment of A and C together was Rs.1000 less than the initial investment of B and C together and the amount withdrawn by B and C together at the end of 1st quarter is Rs.400 less than the amount withdrawn by A and D together at the end of 1st quarter. If the additional investment of B at the end of 2nd quarter was Rs.1400, then what is the share of B in the total profit of Rs.48000?a)Rs. 14000b)Rs. 11000c)Rs. 10500d)Rs. 12500e)Rs. 13500Correct answer is option 'E'. Can you explain this answer?, a detailed solution for Directions: Study the following information and answer the questions given below.Four persons A, B, C and D started a business by investing amounts in the ratio 10:11:8:12 respectively. At the end of the first quarter A, B, C and D withdrew some amounts from their investments in the ratio 2:3:1:4 respectively. At the end of the second quarter additional amount invested by D was 75% of the additional amount invested by C at the end of 2nd quarter and additional amount invested by A at the end of 2nd quarter was 100% more than the additional amount invested by D at the end of the 2nd quarter. The ratio of additional amounts invested by A and B at the end of 2nd quarter was 6:7. At the end of the 3rd quarter A, B, C and D withdrew Rs.1000, Rs.800, Rs.400 and Rs.400 from their investments respectively. They share profit at the end of 1 year in the ratio of their investments considering time.The initial investment of A and C together was Rs.1000 less than the initial investment of B and C together and the amount withdrawn by B and C together at the end of 1st quarter is Rs.400 less than the amount withdrawn by A and D together at the end of 1st quarter. If the additional investment of B at the end of 2nd quarter was Rs.1400, then what is the share of B in the total profit of Rs.48000?a)Rs. 14000b)Rs. 11000c)Rs. 10500d)Rs. 12500e)Rs. 13500Correct answer is option 'E'. Can you explain this answer? has been provided alongside types of Directions: Study the following information and answer the questions given below.Four persons A, B, C and D started a business by investing amounts in the ratio 10:11:8:12 respectively. At the end of the first quarter A, B, C and D withdrew some amounts from their investments in the ratio 2:3:1:4 respectively. At the end of the second quarter additional amount invested by D was 75% of the additional amount invested by C at the end of 2nd quarter and additional amount invested by A at the end of 2nd quarter was 100% more than the additional amount invested by D at the end of the 2nd quarter. The ratio of additional amounts invested by A and B at the end of 2nd quarter was 6:7. At the end of the 3rd quarter A, B, C and D withdrew Rs.1000, Rs.800, Rs.400 and Rs.400 from their investments respectively. They share profit at the end of 1 year in the ratio of their investments considering time.The initial investment of A and C together was Rs.1000 less than the initial investment of B and C together and the amount withdrawn by B and C together at the end of 1st quarter is Rs.400 less than the amount withdrawn by A and D together at the end of 1st quarter. If the additional investment of B at the end of 2nd quarter was Rs.1400, then what is the share of B in the total profit of Rs.48000?a)Rs. 14000b)Rs. 11000c)Rs. 10500d)Rs. 12500e)Rs. 13500Correct answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: Study the following information and answer the questions given below.Four persons A, B, C and D started a business by investing amounts in the ratio 10:11:8:12 respectively. At the end of the first quarter A, B, C and D withdrew some amounts from their investments in the ratio 2:3:1:4 respectively. At the end of the second quarter additional amount invested by D was 75% of the additional amount invested by C at the end of 2nd quarter and additional amount invested by A at the end of 2nd quarter was 100% more than the additional amount invested by D at the end of the 2nd quarter. The ratio of additional amounts invested by A and B at the end of 2nd quarter was 6:7. At the end of the 3rd quarter A, B, C and D withdrew Rs.1000, Rs.800, Rs.400 and Rs.400 from their investments respectively. They share profit at the end of 1 year in the ratio of their investments considering time.The initial investment of A and C together was Rs.1000 less than the initial investment of B and C together and the amount withdrawn by B and C together at the end of 1st quarter is Rs.400 less than the amount withdrawn by A and D together at the end of 1st quarter. If the additional investment of B at the end of 2nd quarter was Rs.1400, then what is the share of B in the total profit of Rs.48000?a)Rs. 14000b)Rs. 11000c)Rs. 10500d)Rs. 12500e)Rs. 13500Correct answer is option 'E'. Can you explain this answer? tests, examples and also practice CAT tests.
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