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)?
Answer & explanation
Correct answer: option 2
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)