Question

A man lost 8% of his salary and spent 7% of the remaining. He still has Rs. 150. Find his total salary.

Answer 1

lost amount
$x \times \frac{8}{100}$
spent amount
$( x - \frac{8x}{100} ) \times \frac{7}{100} \\ \\ \frac{92x}{100} \times \frac{7}{100} = \frac{644x}{10000}$
amount left=
$\frac{92x}{100} - \frac{644x }{10000} = \frac{9200x - 644x}{10000} = \frac{8556x}{10000}$
$\frac{8556x}{10000} = 150 \\ \\ x = \frac{150}{8556} \times 10000$
ans ---175.3