A man spends $10\frac{1}{2}$% of his salary on items of daily use and 30% of the remainder on house rent; after that, he is left with Rs 12,000. How much is his salary (consider the round-up value)?

₹19,154

Let total salary = 100x

Salary Spent on daily use =  \(\frac{10.5}{100}\) ×  100x = 10.5x

Remainder = 100x - 10.5x = 89.5x

salary spent on Rent =  \(\frac{3}{10}\)  ×  89.5x = 26.85x

Saving = 100x - 10.5x - 26.85x = 62.65x

According to question ,

62.65x = 12000

x = 191.54030

= 19154 (approx)