Quant Exam  >  Quant Questions  >  A and B start a business with investments of ... Start Learning for Free
A and B start a business with investments of Rs. 10000 and Rs. 9000 respectively. After 4 months, A takes out 1/2 of his capital. After 2 more months, B takes out 1/3 of his capital while C joins them with a capital of Rs. 14000. At the end of a year, they earn a profit of Rs. 10160. Find the share of each member in the profit?
  • a)
    Rs A – Rs. 3300, B – Rs. 3500, C – Rs. 3360
  • b)
    Rs A – Rs. 3200, B – Rs. 3600, C – Rs. 3360
  • c)
    Rs A – Rs. 3200, B – Rs. 3700, C – Rs. 3260
  • d)
    Rs A – Rs. 3200, B – Rs. 3500, C – Rs. 3460 None of these
  • e)
    Rs A – Rs. 3000, B – Rs. 3500, C – Rs. 3320
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A and B start a business with investments of Rs. 10000 and Rs. 9000 re...
Answer – B (A – Rs. 3200, B – Rs. 3600, C – Rs. 3360) Explanation – A : B : C = (10,000 x 4 + 5000 x 8) : (9000 x 6 + 6000 x 6) : (14000 x 6) = 80000 : 90000 : 84000 = 40 : 45 : 42
A’s share = Rs. 10160 x 40/127 = Rs. 3200; B’s share = Rs. 10160 x 45/127 = Rs. 3600; C’s share = Rs. 10160 x 42/127 = Rs. 3360.
View all questions of this test
Most Upvoted Answer
A and B start a business with investments of Rs. 10000 and Rs. 9000 re...
Let's calculate the share of each member step by step.

Total capital at the beginning = Rs. 10000 + Rs. 9000 = Rs. 19000

After 4 months, A takes out 1/2 of his capital = 1/2 * Rs. 10000 = Rs. 5000
So, A's remaining capital = Rs. 10000 - Rs. 5000 = Rs. 5000

After 2 more months, B takes out 1/3 of his capital = 1/3 * Rs. 9000 = Rs. 3000
So, B's remaining capital = Rs. 9000 - Rs. 3000 = Rs. 6000

At this point, C joins them with a capital of Rs. 14000.
Total capital after C joins = Rs. 5000 + Rs. 6000 + Rs. 14000 = Rs. 25000

Now, let's calculate the profit share of each member.
A's share = (A's capital / Total capital) * Total profit
= (Rs. 5000 / Rs. 25000) * Rs. 10160
= Rs. 2032

B's share = (B's capital / Total capital) * Total profit
= (Rs. 6000 / Rs. 25000) * Rs. 10160
= Rs. 2438.4 (approx.)

C's share = (C's capital / Total capital) * Total profit
= (Rs. 14000 / Rs. 25000) * Rs. 10160
= Rs. 5709.6 (approx.)

So, the share of each member in the profit is:
A: Rs. 2032
B: Rs. 2438.4
C: Rs. 5709.6
Explore Courses for Quant exam

Similar Quant Doubts

A and B start a business with investments of Rs. 10000 and Rs. 9000 respectively. After 4 months, A takes out 1/2 of his capital. After 2 more months, B takes out 1/3 of his capital while C joins them with a capital of Rs. 14000. At the end of a year, they earn a profit of Rs. 10160. Find the share of each member in the profit?a)Rs A – Rs. 3300, B – Rs. 3500, C – Rs. 3360b)Rs A – Rs. 3200, B – Rs. 3600, C – Rs. 3360c)Rs A – Rs. 3200, B – Rs. 3700, C – Rs. 3260d)Rs A – Rs. 3200, B – Rs. 3500, C – Rs. 3460 None of thesee)Rs A – Rs. 3000, B – Rs. 3500, C – Rs. 3320Correct answer is option 'B'. Can you explain this answer?
Question Description
A and B start a business with investments of Rs. 10000 and Rs. 9000 respectively. After 4 months, A takes out 1/2 of his capital. After 2 more months, B takes out 1/3 of his capital while C joins them with a capital of Rs. 14000. At the end of a year, they earn a profit of Rs. 10160. Find the share of each member in the profit?a)Rs A – Rs. 3300, B – Rs. 3500, C – Rs. 3360b)Rs A – Rs. 3200, B – Rs. 3600, C – Rs. 3360c)Rs A – Rs. 3200, B – Rs. 3700, C – Rs. 3260d)Rs A – Rs. 3200, B – Rs. 3500, C – Rs. 3460 None of thesee)Rs A – Rs. 3000, B – Rs. 3500, C – Rs. 3320Correct answer is option 'B'. 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 start a business with investments of Rs. 10000 and Rs. 9000 respectively. After 4 months, A takes out 1/2 of his capital. After 2 more months, B takes out 1/3 of his capital while C joins them with a capital of Rs. 14000. At the end of a year, they earn a profit of Rs. 10160. Find the share of each member in the profit?a)Rs A – Rs. 3300, B – Rs. 3500, C – Rs. 3360b)Rs A – Rs. 3200, B – Rs. 3600, C – Rs. 3360c)Rs A – Rs. 3200, B – Rs. 3700, C – Rs. 3260d)Rs A – Rs. 3200, B – Rs. 3500, C – Rs. 3460 None of thesee)Rs A – Rs. 3000, B – Rs. 3500, C – Rs. 3320Correct answer is option 'B'. 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 start a business with investments of Rs. 10000 and Rs. 9000 respectively. After 4 months, A takes out 1/2 of his capital. After 2 more months, B takes out 1/3 of his capital while C joins them with a capital of Rs. 14000. At the end of a year, they earn a profit of Rs. 10160. Find the share of each member in the profit?a)Rs A – Rs. 3300, B – Rs. 3500, C – Rs. 3360b)Rs A – Rs. 3200, B – Rs. 3600, C – Rs. 3360c)Rs A – Rs. 3200, B – Rs. 3700, C – Rs. 3260d)Rs A – Rs. 3200, B – Rs. 3500, C – Rs. 3460 None of thesee)Rs A – Rs. 3000, B – Rs. 3500, C – Rs. 3320Correct answer is option 'B'. Can you explain this answer?.
Solutions for A and B start a business with investments of Rs. 10000 and Rs. 9000 respectively. After 4 months, A takes out 1/2 of his capital. After 2 more months, B takes out 1/3 of his capital while C joins them with a capital of Rs. 14000. At the end of a year, they earn a profit of Rs. 10160. Find the share of each member in the profit?a)Rs A – Rs. 3300, B – Rs. 3500, C – Rs. 3360b)Rs A – Rs. 3200, B – Rs. 3600, C – Rs. 3360c)Rs A – Rs. 3200, B – Rs. 3700, C – Rs. 3260d)Rs A – Rs. 3200, B – Rs. 3500, C – Rs. 3460 None of thesee)Rs A – Rs. 3000, B – Rs. 3500, C – Rs. 3320Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant. Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of A and B start a business with investments of Rs. 10000 and Rs. 9000 respectively. After 4 months, A takes out 1/2 of his capital. After 2 more months, B takes out 1/3 of his capital while C joins them with a capital of Rs. 14000. At the end of a year, they earn a profit of Rs. 10160. Find the share of each member in the profit?a)Rs A – Rs. 3300, B – Rs. 3500, C – Rs. 3360b)Rs A – Rs. 3200, B – Rs. 3600, C – Rs. 3360c)Rs A – Rs. 3200, B – Rs. 3700, C – Rs. 3260d)Rs A – Rs. 3200, B – Rs. 3500, C – Rs. 3460 None of thesee)Rs A – Rs. 3000, B – Rs. 3500, C – Rs. 3320Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A and B start a business with investments of Rs. 10000 and Rs. 9000 respectively. After 4 months, A takes out 1/2 of his capital. After 2 more months, B takes out 1/3 of his capital while C joins them with a capital of Rs. 14000. At the end of a year, they earn a profit of Rs. 10160. Find the share of each member in the profit?a)Rs A – Rs. 3300, B – Rs. 3500, C – Rs. 3360b)Rs A – Rs. 3200, B – Rs. 3600, C – Rs. 3360c)Rs A – Rs. 3200, B – Rs. 3700, C – Rs. 3260d)Rs A – Rs. 3200, B – Rs. 3500, C – Rs. 3460 None of thesee)Rs A – Rs. 3000, B – Rs. 3500, C – Rs. 3320Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A and B start a business with investments of Rs. 10000 and Rs. 9000 respectively. After 4 months, A takes out 1/2 of his capital. After 2 more months, B takes out 1/3 of his capital while C joins them with a capital of Rs. 14000. At the end of a year, they earn a profit of Rs. 10160. Find the share of each member in the profit?a)Rs A – Rs. 3300, B – Rs. 3500, C – Rs. 3360b)Rs A – Rs. 3200, B – Rs. 3600, C – Rs. 3360c)Rs A – Rs. 3200, B – Rs. 3700, C – Rs. 3260d)Rs A – Rs. 3200, B – Rs. 3500, C – Rs. 3460 None of thesee)Rs A – Rs. 3000, B – Rs. 3500, C – Rs. 3320Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A and B start a business with investments of Rs. 10000 and Rs. 9000 respectively. After 4 months, A takes out 1/2 of his capital. After 2 more months, B takes out 1/3 of his capital while C joins them with a capital of Rs. 14000. At the end of a year, they earn a profit of Rs. 10160. Find the share of each member in the profit?a)Rs A – Rs. 3300, B – Rs. 3500, C – Rs. 3360b)Rs A – Rs. 3200, B – Rs. 3600, C – Rs. 3360c)Rs A – Rs. 3200, B – Rs. 3700, C – Rs. 3260d)Rs A – Rs. 3200, B – Rs. 3500, C – Rs. 3460 None of thesee)Rs A – Rs. 3000, B – Rs. 3500, C – Rs. 3320Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A and B start a business with investments of Rs. 10000 and Rs. 9000 respectively. After 4 months, A takes out 1/2 of his capital. After 2 more months, B takes out 1/3 of his capital while C joins them with a capital of Rs. 14000. At the end of a year, they earn a profit of Rs. 10160. Find the share of each member in the profit?a)Rs A – Rs. 3300, B – Rs. 3500, C – Rs. 3360b)Rs A – Rs. 3200, B – Rs. 3600, C – Rs. 3360c)Rs A – Rs. 3200, B – Rs. 3700, C – Rs. 3260d)Rs A – Rs. 3200, B – Rs. 3500, C – Rs. 3460 None of thesee)Rs A – Rs. 3000, B – Rs. 3500, C – Rs. 3320Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
Explore Courses for Quant exam
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