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A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
  • a)
    Rs. 7500
  • b)
    Rs. 9000
  • c)
    Rs. 9500
  • d)
    Rs. 10,000
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A and B started a business in partnership investing Rs. 20,000 and Rs....
A : B : C
= (20,000 × 24) : (15,000 × 24) : (20,000 × 18)
= 4 : 3 : 3.
So B's Share
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Most Upvoted Answer
A and B started a business in partnership investing Rs. 20,000 and Rs....
Given:
Investment of A = Rs. 20,000
Investment of B = Rs. 15,000
Investment of C = Rs. 20,000 (after 6 months)
Total profit = Rs. 25,000
Time period = 2 years

Solution:
Let the profit share of A, B, and C be x, y, and z respectively.

Total investment = Investment of A + Investment of B + Investment of C
= Rs. (20,000 + 15,000 + 20,000)
= Rs. 55,000

A's investment was used for the entire 2-year period, B's investment was used for the entire 2-year period, and C's investment was used for only 1.5 years (6 months + 2 years - 6 months).

A's profit share = (20,000/55,000) × 2x = 4x/11
B's profit share = (15,000/55,000) × 2y = 4y/11
C's profit share = (20,000/55,000) × 1.5z = 3z/11

Total profit share = A's profit share + B's profit share + C's profit share
25000 = 4x/11 + 4y/11 + 3z/11

Since we don't know the profit share of A, B, and C, we need another equation to solve for them.

Let's find the ratio of investment of A, B, and C:
A : B : C = 20,000 : 15,000 : 20,000
= 4 : 3 : 4

Let the profit share of B be y.
Then, the profit share of A and C will be 4y/3 and 4y/3 respectively.

Substitute these values in the equation for total profit share:
25000 = 4(4y/3)/11 + 4y/11 + 3(4y/3)/11
25000 = 16y/33 + 4y/11 + 4y/11
25000 = 24y/33
y = (25000 × 33)/24
y = Rs. 34,375

B's profit share = Rs. 34,375
Therefore, A's profit share = 4y/3 = (4/3) × 34,375 = Rs. 45,833.33
C's profit share = 4y/3 = (4/3) × 34,375 = Rs. 45,833.33

Therefore, B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business is:
B's profit share = Rs. 34,375
Total profit = Rs. 25,000
B's share = (34,375/55,000) × 25,000
B's share = Rs. 15,625

Hence, option (A) Rs. 7500 is the correct answer.
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A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?a)Rs. 7500b)Rs. 9000c)Rs. 9500d)Rs. 10,000Correct answer is option 'A'. Can you explain this answer?
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A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?a)Rs. 7500b)Rs. 9000c)Rs. 9500d)Rs. 10,000Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?a)Rs. 7500b)Rs. 9000c)Rs. 9500d)Rs. 10,000Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?a)Rs. 7500b)Rs. 9000c)Rs. 9500d)Rs. 10,000Correct answer is option 'A'. Can you explain this answer?.
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