Question

after spending 80% of his income and giving 10% of the remainder in a charity a man has Rs 4626 left with him find the income​

Answer 1

Answer:

income is 46260 rs

Step-by-step explanation:

spending =80%

charity =10%

remaining is

100-80-10=10%

remaining 10% of income is 4626

so his income is

4626*100/10

=46260 rs

income is 46260 rs

Answer 2

Answer:

let,

his income was x

expenditure

$= 80\% \: of \: x \\ = \frac{80}{100} \times x \\ = \frac{4x}{5}$

now,

remaining money

$= x - \frac{4x}{5} \\ = \frac{5x - 4x}{5} \\ = \frac{x}{5}$

here, 10% has been used as charity

$= 10\% \: of \: \frac{x}{5} \\ = \frac{10}{100} \times \frac{x}{5} \\ = \frac{x}{50}$

now,

remaining money

$= x - \frac{x}{50} \\ = \frac{50x - x}{50} \\ = \frac{49x}{50}$

by the condition,

4626 was left with him

$\frac{49x}{50} = 4626 \\ = > 49x = 231300 \\ = > x = 4720.408163$