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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 average initial investment of A, B and D together was Rs.2200 and the average of amounts withdrew by A, B and C at the end of 1st quarter was Rs.400. If the additional amount invested by C at the end of 2nd quarter is Rs.800, then what is the ratio of total profit shared by A and B together to the total profit shared by C and D together at the end of 3rd quarter?
  • a)
    17 : 23
  • b)
    22 : 19
  • c)
    21 : 23
  • d)
    19 : 23
  • e)
    17 : 23
Correct answer is option 'B'. Can you explain this answer?
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, (33a)/3 = 2200
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)/3 = 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 D at the end of 2nd quarter is 75% of additional amount invested by C at the end of 2nd quarter.
Amount invested by D at the end of 2nd quarter = (75/100) × 800 = 600
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 A at the end of 2nd quarter =2 × (600) = 1200
Additional amount invested by A at the end of 2nd quarter: Additional amount invested by B at the end of 2nd quarter = 6 : 7
1200: Additional amount invested by B at the end of 2nd quarter = 6 : 7
Additional amount invested by B at the end of 2nd quarter = 1400
Investments of A, B, C and D for 3rd quarter are Rs.2800, Rs.3000, Rs.2200 and Rs.2200 respectively.
Ratio of investments of A, B, C and D at the end of 3rd quarter considering time as well
= (2000 + 1600 + 2800) : (2200 + 1600 + 3000) : (1600 + 1400 + 2200) : (2400 + 1600 + 2200)
= (10 + 8 + 14) : (11 + 8 + 15) : (8 + 7 + 11) : (12 + 8 + 11)
= 32 : 34 : 26 : 31
Required ratio = (32 + 34) : (26 + 31) = 66 : 57 = 22 : 19.
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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 average initial investment of A, B and D together was Rs.2200 and the average of amounts withdrew by A, B and C at the end of 1st quarter was Rs.400. If the additional amount invested by C at the end of 2nd quarter is Rs.800, then what is the ratio of total profit shared by A and B together to the total profit shared by C and D together at the end of 3rd quarter?a)17 : 23b)22 : 19c)21 : 23d)19 : 23e)17 : 23Correct answer is option 'B'. Can you explain this answer?
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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 average initial investment of A, B and D together was Rs.2200 and the average of amounts withdrew by A, B and C at the end of 1st quarter was Rs.400. If the additional amount invested by C at the end of 2nd quarter is Rs.800, then what is the ratio of total profit shared by A and B together to the total profit shared by C and D together at the end of 3rd quarter?a)17 : 23b)22 : 19c)21 : 23d)19 : 23e)17 : 23Correct answer is option 'B'. 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 average initial investment of A, B and D together was Rs.2200 and the average of amounts withdrew by A, B and C at the end of 1st quarter was Rs.400. If the additional amount invested by C at the end of 2nd quarter is Rs.800, then what is the ratio of total profit shared by A and B together to the total profit shared by C and D together at the end of 3rd quarter?a)17 : 23b)22 : 19c)21 : 23d)19 : 23e)17 : 23Correct answer is option 'B'. 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 average initial investment of A, B and D together was Rs.2200 and the average of amounts withdrew by A, B and C at the end of 1st quarter was Rs.400. If the additional amount invested by C at the end of 2nd quarter is Rs.800, then what is the ratio of total profit shared by A and B together to the total profit shared by C and D together at the end of 3rd quarter?a)17 : 23b)22 : 19c)21 : 23d)19 : 23e)17 : 23Correct answer is option 'B'. 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 average initial investment of A, B and D together was Rs.2200 and the average of amounts withdrew by A, B and C at the end of 1st quarter was Rs.400. If the additional amount invested by C at the end of 2nd quarter is Rs.800, then what is the ratio of total profit shared by A and B together to the total profit shared by C and D together at the end of 3rd quarter?a)17 : 23b)22 : 19c)21 : 23d)19 : 23e)17 : 23Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
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 average initial investment of A, B and D together was Rs.2200 and the average of amounts withdrew by A, B and C at the end of 1st quarter was Rs.400. If the additional amount invested by C at the end of 2nd quarter is Rs.800, then what is the ratio of total profit shared by A and B together to the total profit shared by C and D together at the end of 3rd quarter?a)17 : 23b)22 : 19c)21 : 23d)19 : 23e)17 : 23Correct answer is option 'B'. 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 average initial investment of A, B and D together was Rs.2200 and the average of amounts withdrew by A, B and C at the end of 1st quarter was Rs.400. If the additional amount invested by C at the end of 2nd quarter is Rs.800, then what is the ratio of total profit shared by A and B together to the total profit shared by C and D together at the end of 3rd quarter?a)17 : 23b)22 : 19c)21 : 23d)19 : 23e)17 : 23Correct answer is option 'B'. 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 average initial investment of A, B and D together was Rs.2200 and the average of amounts withdrew by A, B and C at the end of 1st quarter was Rs.400. If the additional amount invested by C at the end of 2nd quarter is Rs.800, then what is the ratio of total profit shared by A and B together to the total profit shared by C and D together at the end of 3rd quarter?a)17 : 23b)22 : 19c)21 : 23d)19 : 23e)17 : 23Correct answer is option 'B'. 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 average initial investment of A, B and D together was Rs.2200 and the average of amounts withdrew by A, B and C at the end of 1st quarter was Rs.400. If the additional amount invested by C at the end of 2nd quarter is Rs.800, then what is the ratio of total profit shared by A and B together to the total profit shared by C and D together at the end of 3rd quarter?a)17 : 23b)22 : 19c)21 : 23d)19 : 23e)17 : 23Correct answer is option 'B'. 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 average initial investment of A, B and D together was Rs.2200 and the average of amounts withdrew by A, B and C at the end of 1st quarter was Rs.400. If the additional amount invested by C at the end of 2nd quarter is Rs.800, then what is the ratio of total profit shared by A and B together to the total profit shared by C and D together at the end of 3rd quarter?a)17 : 23b)22 : 19c)21 : 23d)19 : 23e)17 : 23Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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