Mixing
Profit division between A and B
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A invests 10,000 rupees in his business, 7 months later, B invests 12,000 rupees. After 1 year, the profit is 30,000 rupees. What's B's share?
I am having troubles constructing the formula for B's share. Please help.
algebra-precalculus
edited Aug 2 at 12:56
Martin Sleziak
43.4k6113259
asked Aug 2 at 12:55
Kaushani RC
1
add a comment |Â
up vote
-1
down vote
favorite
A invests 10,000 rupees in his business, 7 months later, B invests 12,000 rupees. After 1 year, the profit is 30,000 rupees. What's B's share?
I am having troubles constructing the formula for B's share. Please help.
algebra-precalculus
edited Aug 2 at 12:56
Martin Sleziak
43.4k6113259
asked Aug 2 at 12:55
Kaushani RC
1
There is not enough information. Maybe all the profit was generated over the first seven months, in which case $B$ gets no share of the profit. Maybe a much bigger profit was realized over the first seven months with significant losses thereafter. In that case, $B$ would have a loss.
– lulu
Aug 2 at 13:00
Let's assume the profit happened on the 12th month's end?
– Kaushani RC
Aug 2 at 13:02
Please edit your post to include all your assumptions. That said, under that assumption (unless they had agreed differently) they should share pro rata, so $B$ would get $frac 1200012000+10000=frac 611$ of the profit.
– lulu
Aug 2 at 13:05
More broadly, the natural answer would be that $B$ should get $frac 1200012000+A(7)$ of the profit where $A(7)$ is the value of $A's$ investment at the time of $B's$ investment. Of course, all that should be agreed in advance by $A,B$.
– lulu
Aug 2 at 13:07
add a comment |Â
up vote
-1
down vote
favorite
up vote
-1
down vote
favorite
A invests 10,000 rupees in his business, 7 months later, B invests 12,000 rupees. After 1 year, the profit is 30,000 rupees. What's B's share?
I am having troubles constructing the formula for B's share. Please help.
algebra-precalculus
edited Aug 2 at 12:56
Martin Sleziak
43.4k6113259
asked Aug 2 at 12:55
Kaushani RC
1
A invests 10,000 rupees in his business, 7 months later, B invests 12,000 rupees. After 1 year, the profit is 30,000 rupees. What's B's share?
I am having troubles constructing the formula for B's share. Please help.
algebra-precalculus
edited Aug 2 at 12:56
Martin Sleziak
43.4k6113259
asked Aug 2 at 12:55
Kaushani RC
1
edited Aug 2 at 12:56
Martin Sleziak
43.4k6113259
edited Aug 2 at 12:56
Martin Sleziak
43.4k6113259
edited Aug 2 at 12:56
Martin Sleziak
43.4k6113259
43.4k6113259
asked Aug 2 at 12:55
Kaushani RC
1
asked Aug 2 at 12:55
Kaushani RC
1
asked Aug 2 at 12:55
Kaushani RC
1
1
There is not enough information. Maybe all the profit was generated over the first seven months, in which case $B$ gets no share of the profit. Maybe a much bigger profit was realized over the first seven months with significant losses thereafter. In that case, $B$ would have a loss.
– lulu
Aug 2 at 13:00
Let's assume the profit happened on the 12th month's end?
– Kaushani RC
Aug 2 at 13:02
Please edit your post to include all your assumptions. That said, under that assumption (unless they had agreed differently) they should share pro rata, so $B$ would get $frac 1200012000+10000=frac 611$ of the profit.
– lulu
Aug 2 at 13:05
More broadly, the natural answer would be that $B$ should get $frac 1200012000+A(7)$ of the profit where $A(7)$ is the value of $A's$ investment at the time of $B's$ investment. Of course, all that should be agreed in advance by $A,B$.
– lulu
Aug 2 at 13:07
add a comment |Â
There is not enough information. Maybe all the profit was generated over the first seven months, in which case $B$ gets no share of the profit. Maybe a much bigger profit was realized over the first seven months with significant losses thereafter. In that case, $B$ would have a loss.
– lulu
Aug 2 at 13:00
Let's assume the profit happened on the 12th month's end?
– Kaushani RC
Aug 2 at 13:02
Please edit your post to include all your assumptions. That said, under that assumption (unless they had agreed differently) they should share pro rata, so $B$ would get $frac 1200012000+10000=frac 611$ of the profit.
– lulu
Aug 2 at 13:05
More broadly, the natural answer would be that $B$ should get $frac 1200012000+A(7)$ of the profit where $A(7)$ is the value of $A's$ investment at the time of $B's$ investment. Of course, all that should be agreed in advance by $A,B$.
– lulu
Aug 2 at 13:07
There is not enough information. Maybe all the profit was generated over the first seven months, in which case $B$ gets no share of the profit. Maybe a much bigger profit was realized over the first seven months with significant losses thereafter. In that case, $B$ would have a loss.
– lulu
Aug 2 at 13:00
There is not enough information. Maybe all the profit was generated over the first seven months, in which case $B$ gets no share of the profit. Maybe a much bigger profit was realized over the first seven months with significant losses thereafter. In that case, $B$ would have a loss.
– lulu
Aug 2 at 13:00
Let's assume the profit happened on the 12th month's end?
– Kaushani RC
Aug 2 at 13:02
Let's assume the profit happened on the 12th month's end?
– Kaushani RC
Aug 2 at 13:02
Please edit your post to include all your assumptions. That said, under that assumption (unless they had agreed differently) they should share pro rata, so $B$ would get $frac 1200012000+10000=frac 611$ of the profit.
– lulu
Aug 2 at 13:05
Please edit your post to include all your assumptions. That said, under that assumption (unless they had agreed differently) they should share pro rata, so $B$ would get $frac 1200012000+10000=frac 611$ of the profit.
– lulu
Aug 2 at 13:05
More broadly, the natural answer would be that $B$ should get $frac 1200012000+A(7)$ of the profit where $A(7)$ is the value of $A's$ investment at the time of $B's$ investment. Of course, all that should be agreed in advance by $A,B$.
– lulu
Aug 2 at 13:07
More broadly, the natural answer would be that $B$ should get $frac 1200012000+A(7)$ of the profit where $A(7)$ is the value of $A's$ investment at the time of $B's$ investment. Of course, all that should be agreed in advance by $A,B$.
– lulu
Aug 2 at 13:07
add a comment |Â
1 Answer
1
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votes
up vote
0
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Let us take the ratio in which they should share the profit
$=$ Ratio of the investments multiplied by the time period.
$$=10000times12:12000times5\=120:60\=2:1\=A:B$$
So, their share is in ratio of $2:1$
They had a total profit of $30000$ in which $A$ receives $20000$ and $B$ receives $10000$
answered Aug 2 at 14:44
Key Flex
3,722422
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
Let us take the ratio in which they should share the profit
$=$ Ratio of the investments multiplied by the time period.
$$=10000times12:12000times5\=120:60\=2:1\=A:B$$
So, their share is in ratio of $2:1$
They had a total profit of $30000$ in which $A$ receives $20000$ and $B$ receives $10000$
answered Aug 2 at 14:44
Key Flex
3,722422
add a comment |Â
up vote
0
down vote
Let us take the ratio in which they should share the profit
$=$ Ratio of the investments multiplied by the time period.
$$=10000times12:12000times5\=120:60\=2:1\=A:B$$
So, their share is in ratio of $2:1$
They had a total profit of $30000$ in which $A$ receives $20000$ and $B$ receives $10000$
answered Aug 2 at 14:44
Key Flex
3,722422
add a comment |Â
up vote
0
down vote
up vote
0
down vote
Let us take the ratio in which they should share the profit
$=$ Ratio of the investments multiplied by the time period.
$$=10000times12:12000times5\=120:60\=2:1\=A:B$$
So, their share is in ratio of $2:1$
They had a total profit of $30000$ in which $A$ receives $20000$ and $B$ receives $10000$
answered Aug 2 at 14:44
Key Flex
3,722422
Let us take the ratio in which they should share the profit
$=$ Ratio of the investments multiplied by the time period.
$$=10000times12:12000times5\=120:60\=2:1\=A:B$$
So, their share is in ratio of $2:1$
They had a total profit of $30000$ in which $A$ receives $20000$ and $B$ receives $10000$
answered Aug 2 at 14:44
Key Flex
3,722422
answered Aug 2 at 14:44
Key Flex
3,722422
answered Aug 2 at 14:44
Key Flex
3,722422
answered Aug 2 at 14:44
Key Flex
3,722422
3,722422
add a comment |Â
add a comment |Â
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There is not enough information. Maybe all the profit was generated over the first seven months, in which case $B$ gets no share of the profit. Maybe a much bigger profit was realized over the first seven months with significant losses thereafter. In that case, $B$ would have a loss.
– lulu
Aug 2 at 13:00
Let's assume the profit happened on the 12th month's end?
– Kaushani RC
Aug 2 at 13:02
Please edit your post to include all your assumptions. That said, under that assumption (unless they had agreed differently) they should share pro rata, so $B$ would get $frac 1200012000+10000=frac 611$ of the profit.
– lulu
Aug 2 at 13:05
More broadly, the natural answer would be that $B$ should get $frac 1200012000+A(7)$ of the profit where $A(7)$ is the value of $A's$ investment at the time of $B's$ investment. Of course, all that should be agreed in advance by $A,B$.
– lulu
Aug 2 at 13:07