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A total of 4800 people subscribed for Amazon's membership in the first quarter of 2018 (January, February and March). There are two types of membership - Prime and Basic. The ratio of the number of subscriptions in March was 111 : 139 for Prime and Basic, respectively. The ratio of the number of Prime subscriptions to that of Basic subscriptions in January was 27 : 23; and the difference between the numbers of Basic and Prime subscriptions in January was 96. The number of people subscribing for Basic membership in February was 13/40 of the total number of people subscribing in the month of March. The number of people subscribing for Prime membership in January was 464 less than the number of people subscribing for Basic membership in March.
Q. What percent (approximately) of the total number of subscriptions in February was the number of prime subscriptions in March?
  • a)
    56%
  • b)
    62%
  • c)
    49%
  • d)
    51%
Correct answer is option 'A'. Can you explain this answer?
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Directions: Read the following information carefully and answer the gi...

Calculating the percent of Prime subscriptions in February

Step 1: Calculate the total number of Basic subscriptions in March
Given that the ratio of Prime to Basic subscriptions in March is 111:139, let's assume the number of Basic subscriptions in March is 139x. Therefore, the number of Prime subscriptions in March would be 111x.

Total subscriptions in March = 111x + 139x = 250x

Step 2: Calculate the number of Basic subscriptions in February
It is given that the number of Basic subscriptions in February was 13/40 of the total number of people subscribing in March. Therefore, the number of Basic subscriptions in February is (13/40) * 250x = 81.25x (approx. 81x)

Step 3: Calculate the number of Prime subscriptions in February
To find the number of Prime subscriptions in February, we need to subtract the total number of subscriptions in February from the total number of subscriptions in March.
Prime subscriptions in February = 250x - 81x = 169x

Step 4: Calculate the percentage of Prime subscriptions in February
To find the percentage, we need to divide the number of Prime subscriptions in February by the total number of subscriptions in February and then multiply by 100.
Percentage = (169x / (169x + 81x)) * 100
Percentage = (169/250) * 100
Percentage ≈ 56%

Therefore, approximately 56% of the total number of subscriptions in February was the number of Prime subscriptions in March.
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In January:
The ratio of the number of Prime subscriptions to that of Basic subscriptions in January was 27 : 23; and the difference between the numbers of Basic and Prime subscriptions in January was 96.
We know, 27x – 23x = 96
4x = 96; x = 24
So, number of Prime subscriptions = 27x
= 27 × 24 = 648 --- (1)
Number of Basic subscriptions = 23x
= 23 × 24 = 552
Total number of people subscribing in January = 552 + 648 = 1200 --- (2)
In March:
The number of people subscribing for Prime membership in January was 464 less than the number of people subscribing for Basic membership in March.
So, number of people subscribing for Basic membership in March = 464 + 648 (using (1))
= 1112
The ratio of the number of subscriptions in March was 111 : 139 for Prime and Basic memberships, respectively.
Number of Prime subscriptions:
So, number of Prime subscriptions = 
= 888
So, total number of subscriptions in March = 1112 + 888 = 2000 --- (3)
In February:
Number of Basic subscriptions:
The number of people subscribing for Basic membership in February was 13/40 of the total number of people subscribing in the month of March.
So, number of Basic subscriptions (using (3)) = 13/40 × 2000 = 650
Number of Prime subscriptions:
Using (2) and (3), total number of subscriptions in February = 4800 – 1200 – 2000 = 1600
Number of Prime subscriptions = 1600 – 650 = 950
As calculated above,
Number of Prime subscriptions in March = 888
Total number of subscriptions in February = 1600
So, required percentage == 55.5% or 56%
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Directions: Read the following information carefully and answer the given question.A total of 4800 people subscribed for Amazons membership in the first quarter of 2018 (January, February and March). There are two types of membership - Prime and Basic. The ratio of the number of subscriptions in March was 111 : 139 for Prime and Basic, respectively. The ratio of the number of Prime subscriptions to that of Basic subscriptions in January was 27 : 23; and the difference between the numbers of Basic and Prime subscriptions in January was 96. The number of people subscribing for Basic membership in February was 13/40 of the total number of people subscribing in the month of March. The number of people subscribing for Prime membership in January was 464 less than the number of people subscribing for Basic membership in March.Q. What percent (approximately) of the total number of subscriptions in February was the number of prime subscriptions in March?a)56%b)62%c)49%d)51%Correct answer is option 'A'. Can you explain this answer?
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Directions: Read the following information carefully and answer the given question.A total of 4800 people subscribed for Amazons membership in the first quarter of 2018 (January, February and March). There are two types of membership - Prime and Basic. The ratio of the number of subscriptions in March was 111 : 139 for Prime and Basic, respectively. The ratio of the number of Prime subscriptions to that of Basic subscriptions in January was 27 : 23; and the difference between the numbers of Basic and Prime subscriptions in January was 96. The number of people subscribing for Basic membership in February was 13/40 of the total number of people subscribing in the month of March. The number of people subscribing for Prime membership in January was 464 less than the number of people subscribing for Basic membership in March.Q. What percent (approximately) of the total number of subscriptions in February was the number of prime subscriptions in March?a)56%b)62%c)49%d)51%Correct answer is option 'A'. Can you explain this answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Directions: Read the following information carefully and answer the given question.A total of 4800 people subscribed for Amazons membership in the first quarter of 2018 (January, February and March). There are two types of membership - Prime and Basic. The ratio of the number of subscriptions in March was 111 : 139 for Prime and Basic, respectively. The ratio of the number of Prime subscriptions to that of Basic subscriptions in January was 27 : 23; and the difference between the numbers of Basic and Prime subscriptions in January was 96. The number of people subscribing for Basic membership in February was 13/40 of the total number of people subscribing in the month of March. The number of people subscribing for Prime membership in January was 464 less than the number of people subscribing for Basic membership in March.Q. What percent (approximately) of the total number of subscriptions in February was the number of prime subscriptions in March?a)56%b)62%c)49%d)51%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Read the following information carefully and answer the given question.A total of 4800 people subscribed for Amazons membership in the first quarter of 2018 (January, February and March). There are two types of membership - Prime and Basic. The ratio of the number of subscriptions in March was 111 : 139 for Prime and Basic, respectively. The ratio of the number of Prime subscriptions to that of Basic subscriptions in January was 27 : 23; and the difference between the numbers of Basic and Prime subscriptions in January was 96. The number of people subscribing for Basic membership in February was 13/40 of the total number of people subscribing in the month of March. The number of people subscribing for Prime membership in January was 464 less than the number of people subscribing for Basic membership in March.Q. What percent (approximately) of the total number of subscriptions in February was the number of prime subscriptions in March?a)56%b)62%c)49%d)51%Correct answer is option 'A'. Can you explain this answer?.
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