The monthly expenses of a person are $$66\frac{2}{3}\% $$  more than her monthly savings. If her monthly income increases by 44% and her monthly expenses increase by 60%, then there is an increase of Rs. 1,040 in her monthly savings. What is the initial expenditure (in Rs.)?

A. 10,000

B. 13,000

C. 12,000

D. 9,000

Answer: Option A

Solution(By Examveda Team)

$$66\frac{2}{3}\% = \frac{2}{3}$$
Saving = 3; Expenditure = 3 + 2 = 5
Income = 5 + 3 = 8
\[\begin{array}{*{20}{c}} {{\text{Income}}}& = &{{\text{Expenditure}}}& + &{{\text{Saving}}} \\ 8& = &5& + &3 \\ {800}& = &{500}& + &{300} \\ {\,\,\,\,\,\,\,\,\,\,\,\,\, \downarrow + 44\% }&{}&{\,\,\,\,\,\,\,\,\,\,\,\,\, \downarrow + 60\% }&{}&{} \\ {352}& = &{300}& + &x \end{array}\]
x = 352 - 300 = 52
52 units → 1040
1 unit → 20
500 units → 500 × 20 = 10,000