Solution:

We can let 6x and 8x be the amounts of Seema’s and Sheetal’s investments, respectively. So, after 4 months, Seema’s investment reduces to 3x and Sheetal’s investment reduces to 6x. Let’s introduce a new variable y such that 6y and 8y are Seema and Sheetal’s monthly profit for the first 4 months, respectively, and 3y and 6y are their monthly profit for the remaining 8 months, respectively. We can create the equation:

Seema’s annual profit + Sheetal’s annual profit = 13,600

(6y * 4 + 3y * 8) + (8y * 4 + 6y * 8) = 13,600

48y + 80y = 13,600

128y = 13,600

y = 106.25

Since Sheetal’s annual profit is 80y, her annual profit is 80(106.25) = $8,500.

Answer: E
_________________

Sheetal investment \(= (4)*4 + (4*\frac{3}{4})*8 = 40\)

Seema investment \(= (3)*4 + (3*\frac{1}{2})*8 = 24\)

Ratio of profits of sheetal and seema = 40:24 = 5:3

Sheetal Profit = \((\frac{5}{5+3})*13600 = 8500\)

Answer: Option E
_________________