Question

A and B enter into partnership. A contributes Rs.8000 and B contributes Rs.10,000. At the end of 6 months they introduce C who contributes Rs.6000. After the gap of three years, they find that firm has made a profit of Rs.9660, find the share of each of them.
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Answer 1

Answer:

A's investment for 36 months = Rs.8000×36 = Rs.288000

A's investment for 36 months = Rs.8000×36 = Rs.288000B's investment for 36 months = Rs.10000×36 = Rs.360000

A's investment for 36 months = Rs.8000×36 = Rs.288000B's investment for 36 months = Rs.10000×36 = Rs.360000C's investment for 30 months = Rs.6000×30 = Rs.180000

A's investment for 36 months = Rs.8000×36 = Rs.288000B's investment for 36 months = Rs.10000×36 = Rs.360000C's investment for 30 months = Rs.6000×30 = Rs.180000A : B : C's ratio of shares = 288 : 360 : 180 = 48 : 60 : 30 = 24 : 30 : 15

A's investment for 36 months = Rs.8000×36 = Rs.288000B's investment for 36 months = Rs.10000×36 = Rs.360000C's investment for 30 months = Rs.6000×30 = Rs.180000A : B : C's ratio of shares = 288 : 360 : 180 = 48 : 60 : 30 = 24 : 30 : 15Total profit = Rs.9660

A's share = 9660 × 24 = 140×24 = Rs.3360

69

B's share = 9600 × 30 = 140×30 = Rs.4200

24

C's share = 9660 × 15 = Rs.2100

24

Answer 2

Answer:

A's Profit on a Capital of ₹8000 for 3 years = A's Profit on ₹240000 for 1 year.

B's Profit on a Capital of ₹10000 for 3 years = B's Profit on ₹30000 for 1 year.

C's Profit on a Capital of ₹ 6000 for 5/2 years = C's Profit on ₹ 15000 for 1 year.

Hence ratio of profit of A:B:C

= 24000:30000:15000 = 8:10:5

Sum of the Ratios = 8+10+5 = 23

A's Share

$= \frac{9660 \times 8}{23} = 3360$

B's Share

$= \frac{9660 \times 10}{23} = 4200$

C's Share

$= \frac{9660 \times 5}{23} = 2100$

These are the Shares of each of them..