Question

Yolanda invested her savings in two investment funds. The $2000 that she invested in fund A returned a 4% profit. The amount that she invested in fund b returned a 1% profit. How much did she incest in fund b, if both funds returned a 2% profit

Answer 1

Answer: she invested $4000 in fund B.

Explanation:

Let x represent the amount invested in fund B.

The $2000 that she invested in fund A returned a 4% profit. It means that the profit made from fund A is

4/100 × 2000 = 0.04 × 2000 = 80

The amount that she invested in fund b returned B 1% profit. It means that the profit made from fund B is

1/100 × x = 0.01x

if both funds returned a 2% profit, it means that the profit made from both accounts is

2/100 × (2000 + x) = 0.02(2000 + x)

= 40 + 0.02x

The expression becomes

80 + 0.01x = 40 + 0.02x

0.02x - 0.01x = 80 - 40

0.01x = 40

x = 40/0.01

x = 4000