A and B started a business by investing Rs 8,000 and Rs 9,000 respectively.After 4 months A withdrew Rs 400 and B added Rs 400 more. What is the share of B from the profit of Rs 10,200?a)Rs 5460b)Rs 5480c)Rs 5560d)Rs 4460e)Rs 4640Correct answer is option 'C'. Can you explain this answer?

Question

Answer

For the First 4 months,

A = 4 × 8000 = 32,000 ; B = 4 × 9000 = 36,000 ;

For the next 8 months
,
A withdrew Rs.400 ; B added Rs.400 ;

i.e., A = 7,600×8 = 60,800 ; B = 9,400×8 = 75,200 ;

For 1 year ,
A = 32,000+60,800 = 92,800 ;

B = 36,000+75,200 = 1,11,200 ;
Now , A : B = 92,800 : 1,11,200; A : B = 116 : 139 ;
Profit = 10,200 ;
Share of B = 10,200 × 139/255 = 5,560 ;

Answer

Given:
A invested Rs 8,000
B invested Rs 9,000
Profit = Rs 10,200

Approach:
1. Calculate the ratio of investments by A and B.
2. Calculate the ratio of their profits based on their investments.
3. Adjust the profit based on any changes made during the partnership.
4. Calculate B's share of the adjusted profit.

Solution:
1. Calculate the ratio of investments by A and B:
- A's investment = Rs 8,000
- B's investment = Rs 9,000
- Ratio of investments = A:B = 8000:9000 = 8:9

2. Calculate the ratio of their profits based on their investments:
- A's share of profit = (8/17) * 10200 = Rs 4800
- B's share of profit = (9/17) * 10200 = Rs 5400

3. Adjust the profit based on any changes made during the partnership:
- A withdrew Rs 400 after 4 months, so the adjusted investment of A = Rs 8000 - Rs 400 = Rs 7600
- B added Rs 400 after 4 months, so the adjusted investment of B = Rs 9000 + Rs 400 = Rs 9400

4. Calculate B's share of the adjusted profit:
- New ratio of investments = 7600:9400 = 19:23
- B's share of the adjusted profit = (23/42) * 10200 = Rs 5560

Therefore, the share of B from the profit of Rs 10,200 is Rs 5560 (option C).

Answer

5560

Top Courses for Quant

Suggested Free Tests

Related Content

Quant Courses

Related Exams

Related Question Answers

Related Searches

Company