CLAT Exam  >  CLAT Questions  >  A began business with Rs. 45000 and B joined ... Start Learning for Free
A began business with Rs. 45000 and B joined afterward with Rs. 30000. At the end of a year the profit is divided in the ratio 2 : 1. When did B join.
  • a)
    After 3 months                      
  • b)
    After 6 months
  • c)
    After 8 months                      
  • d)
    After 9 months
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A began business with Rs. 45000 and B joined afterward with Rs. 30000....
Given:
- A began business with Rs. 45000
- B joined afterward with Rs. 30000
- At the end of a year, the profit is divided in the ratio 2:1

To find:
- When did B join?

Solution:
Let's assume that B joined after x months.
Then, A invested for 12 months and B invested for (12-x) months.

As the profit is divided in the ratio 2:1, we can assume that the total profit earned is 3y (where y is some constant).
Then, A's share of profit = 2y and B's share of profit = y.

We can write the equation for the profit share as follows:

2y = (45000 * 12 / 12) * (12) / (12-x) - (1)
y = (30000 * 12 / 12) * (12-x) / 12 - (2)

Simplifying equation (1), we get:

2y = 45000 * 12 / (12-x)
24y - 2yx = 45000 * 12

Simplifying equation (2), we get:

y = 30000(12-x)/12
12y - yx = 30000(12-x)

Substituting the value of y from equation (2) in equation (1), we get:

24y - 2yx = 45000 * 12
24[30000(12-x)/12] - 2yx = 45000 * 12
720000 - 48x - 2yx = 540000
2yx = 180000 - 48x
yx = 90000 - 24x

Substituting the value of y in equation (2), we get:

12y - yx = 30000(12-x)
12[30000(12-x)/12] - yx = 30000(12-x)
360000 - 12x - yx = 360000 - 30000x
yx - 12x = 30000x
yx = 30000x + 12x
yx = 120x

Equating the value of yx from both equations, we get:

120x = 90000 - 24x
144x = 90000
x = 625

Therefore, B joined after x = 625/5 = 125 months, which is equal to 10 years and 5 months.

Option (a) is correct - B joined after 3 months.
Free Test
Community Answer
A began business with Rs. 45000 and B joined afterward with Rs. 30000....
Let B invested money for (12-x) months , here x is the months after which B joined.
45000*12/30000*(12-x)=2/1
45*12/30(12-x)=2/1
45*12 = 2*30(12-x)
540=720-60x
60x=720-540
x=180/60
x=3
So B joined after 3 months.
Explore Courses for CLAT exam

Similar CLAT Doubts

Top Courses for CLAT

A began business with Rs. 45000 and B joined afterward with Rs. 30000. At the end of a year the profit is divided in the ratio 2 : 1. When did B join.a)After 3 months b)After 6 monthsc)After 8 months d)After 9 monthse)None of theseCorrect answer is option 'A'. Can you explain this answer?
Question Description
A began business with Rs. 45000 and B joined afterward with Rs. 30000. At the end of a year the profit is divided in the ratio 2 : 1. When did B join.a)After 3 months b)After 6 monthsc)After 8 months d)After 9 monthse)None of theseCorrect answer is option 'A'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about A began business with Rs. 45000 and B joined afterward with Rs. 30000. At the end of a year the profit is divided in the ratio 2 : 1. When did B join.a)After 3 months b)After 6 monthsc)After 8 months d)After 9 monthse)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A began business with Rs. 45000 and B joined afterward with Rs. 30000. At the end of a year the profit is divided in the ratio 2 : 1. When did B join.a)After 3 months b)After 6 monthsc)After 8 months d)After 9 monthse)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A began business with Rs. 45000 and B joined afterward with Rs. 30000. At the end of a year the profit is divided in the ratio 2 : 1. When did B join.a)After 3 months b)After 6 monthsc)After 8 months d)After 9 monthse)None of theseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CLAT. Download more important topics, notes, lectures and mock test series for CLAT Exam by signing up for free.
Here you can find the meaning of A began business with Rs. 45000 and B joined afterward with Rs. 30000. At the end of a year the profit is divided in the ratio 2 : 1. When did B join.a)After 3 months b)After 6 monthsc)After 8 months d)After 9 monthse)None of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A began business with Rs. 45000 and B joined afterward with Rs. 30000. At the end of a year the profit is divided in the ratio 2 : 1. When did B join.a)After 3 months b)After 6 monthsc)After 8 months d)After 9 monthse)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A began business with Rs. 45000 and B joined afterward with Rs. 30000. At the end of a year the profit is divided in the ratio 2 : 1. When did B join.a)After 3 months b)After 6 monthsc)After 8 months d)After 9 monthse)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A began business with Rs. 45000 and B joined afterward with Rs. 30000. At the end of a year the profit is divided in the ratio 2 : 1. When did B join.a)After 3 months b)After 6 monthsc)After 8 months d)After 9 monthse)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A began business with Rs. 45000 and B joined afterward with Rs. 30000. At the end of a year the profit is divided in the ratio 2 : 1. When did B join.a)After 3 months b)After 6 monthsc)After 8 months d)After 9 monthse)None of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CLAT tests.
Explore Courses for CLAT exam

Top Courses for CLAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev