Q534
The monthly expenses of a person are 662/3\% 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.)?
The monthly expenses of a person are 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
AnswerB.
13,000
C.
12,000
D.
9,000
Answer: Option A
Solution
Answer: Option A
Solution:
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