A and b started a business with 1500 and 2500 and got a profit 800 rs. half of the profit is shared equally the remaining is shared according to their investment. find their profits.
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First of all, let's find the share in investment by each in percentage.
Total investment = 1500+2500 = 4000
Now, Share of A = (1500/4000)×100 = 37.5 %
Share of B = (2500/4000)×100 = 62.5 %
It is stated that half of profit is shared equally. That means out of 800, the subtracted amount is 400 and as it is further shared equally.
Therefore, each got 200.
Now, out of remaining 400 rs.
A got (400×37.5)/100 = 150 rs
B got (400×62.5)/100 = 250 rs.
Therefore,
Total profit of A = 150 + 200 = 350 Rs.
Total profit of B = 250 + 200 = 450 Rs.
Total investment = 1500+2500 = 4000
Now, Share of A = (1500/4000)×100 = 37.5 %
Share of B = (2500/4000)×100 = 62.5 %
It is stated that half of profit is shared equally. That means out of 800, the subtracted amount is 400 and as it is further shared equally.
Therefore, each got 200.
Now, out of remaining 400 rs.
A got (400×37.5)/100 = 150 rs
B got (400×62.5)/100 = 250 rs.
Therefore,
Total profit of A = 150 + 200 = 350 Rs.
Total profit of B = 250 + 200 = 450 Rs.
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