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22 Sep 2025, 00:29
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Difficulty:
95%
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Question Stats:
24% (03:02) correct
76%
(03:02)
wrong
based on 66
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A and B started a business with initial investments in the respective ratio of 18:7. After four months from the start of the business, A invested $ 2000 more and B invested $ 7000 more each month. At the end of one year, if the profit was distributed among them in the ratio of 2:1 respectively. What was the total initial investment with which A and B started the business?
A. $250,000
B. $225,000
C. $150,000
D. $75,000
E. $50,000
A. $250,000
B. $225,000
C. $150,000
D. $75,000
E. $50,000
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22 Sep 2025, 08:48
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@Bunuel
A and B started a business with initial investments in the respective ratio of 18:7. After four months from the start of the business, A invested $ 2000 more and B invested $ 7000 more each month. At the end of one year, if the profit was distributed among them in the ratio of 2:1 respectively. What was the total initial investment with which A and B started the business?
In this question there are two ways in assuming the sentance: "A and B started a business with initial investments in the respective ratio of 18:7", If this is considered as initial investment for every month (the same is not mentioned), then the answer will be coming out as one among the options. But if this is the entire initial investment, then the answer choices are not supported.
A and B started a business with initial investments in the respective ratio of 18:7. After four months from the start of the business, A invested $ 2000 more and B invested $ 7000 more each month. At the end of one year, if the profit was distributed among them in the ratio of 2:1 respectively. What was the total initial investment with which A and B started the business?
In this question there are two ways in assuming the sentance: "A and B started a business with initial investments in the respective ratio of 18:7", If this is considered as initial investment for every month (the same is not mentioned), then the answer will be coming out as one among the options. But if this is the entire initial investment, then the answer choices are not supported.
22 Sep 2025, 09:01
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Let 18X be the initial investment per month by A and 7x be the initial investment with B
Initial investment in the first 4 months by each A and B
A=18*4x=72X
B=28X
After four months, for every month A made (18x+2000) and B made (7x+7000)
Total investment by A= 72X+8*(18x+2000)=216X+16000
similarly for B= 28X+8*(7x+7000)=84X+56000
Ratio of profits is 2:1, which means investments are in the ratios 2:1
\(\frac{(216X+16000)}{(84X+56000)}\)=\(\frac{2}{1}\)
Solving for X we get X=2000
Total initial investment is 25X=25*2000 is 50000
Initial investment in the first 4 months by each A and B
A=18*4x=72X
B=28X
After four months, for every month A made (18x+2000) and B made (7x+7000)
Total investment by A= 72X+8*(18x+2000)=216X+16000
similarly for B= 28X+8*(7x+7000)=84X+56000
Ratio of profits is 2:1, which means investments are in the ratios 2:1
\(\frac{(216X+16000)}{(84X+56000)}\)=\(\frac{2}{1}\)
Solving for X we get X=2000
Total initial investment is 25X=25*2000 is 50000
