Question

A, B and C enter into a partnership and their investments in the ratio 1/2:1/3:1/4 After 2 months. A withdraws half of his capital and after 10 months, a profit of Rs.378 is divided among them. The share of B is

Answer 1

Answer:

A:B:C=

2

1

:

3

1

:

4

1

L.C.M of 2,3 and 4=12

=(

2

1

×12):(

3

1

×12):(

4

1

×12)

=6:4:3

Total profit=Rs378

For 2 month →A:B:C=6:4:3

After 2 months A withdraw half of his capital

For next 10 months →A:B:C=3:4:3

Total money ratio →A:B:C=6:4:3

→A:B:C={(6×2)+(3×10)}:{(4×2)+(4×10)}:{(3×2)+(3×10)}

=42:48:36

=7:8:6

Sum of ratio=7+8+6=21

∴B's share=

21

8

× Rs 378=Rs144

Step-by-step explanation:

please mark it as brainliest and follow me

please subscribe my YOUTUBE CHANNEL Shivam TechTube