Question

I need this answered please

Answer 1

Explanation:

Fund A

$6000 returned a 5% profit. that means it had at the end 105% of the original investment

the formally correct way

100% = 6000

1% = 100%/100 = 6000/100 = $60

5% = 1%×5 = 60×5 = $300

in short, if we knew what we are doing, we could have simply calculated 6000 × 0.05 = $300.

and by the way, 6000 × 1.05 = $6300. which is the current balance of the account (investment plus the returned profit). but we don't need this here. this is just FYI.

Fund B

x returned 1% profit.

Fund A + Fund B

6000 + x returned 4% profit.

so, we have

6000×0.05 + x×0.01 = (6000 + x)×0.04

300 + 0.01x = 240 + 0.04x

60 + 0.01x = 0.04x

60 = 0.03x

x = 60/0.03 = $2000

so, he invested $2000 into fund B.

Answer 2

$2,000

Explanation:

Amount invested in Fund A = 6000

Profit rate of return = 5%

Amount of profit = 6000 x 5% = 6000 x 0.05 = $300

Let amount invested in Fund B be $x

Profit amount = 0.01x

Total amount invested is 6000 + x

Total profit in $ = 300 + 0.01x

Total profit in percentage = Total Profit/Total investment x 100

= 4 %

So Total Profit/Total investment = 4/ 100 = 0.04

= (300 + 0.01x) / (6000 + x) = 0.04

Multiply both sides by (6000 + x)

=> 300 + 0.01x = 0.04(6000 + x)

=> 300 + 0.01x = 240 + 0.04x

==> 300 - 240 = 0.04x - 0.01x

=> 60 = 0.03x

x = 60/0.03

x = $2,000

Amount invested in Fund B = $2,000