A person spends $20\%$ of income on food and $15\%$ on rent. Of the remainder, $40\%$ goes to transport and $30\%$ to entertainment. If the person still saves Rs $8775$, the monthly income is:
Practice this question from Chapter Mock 3: Percentage, with options and an explanation.
Question
A person spends $20\%$ of income on food and $15\%$ on rent. Of the remainder, $40\%$ goes to transport and $30\%$ to entertainment. If the person still saves Rs $8775$, the monthly income is:
Option A
Rs 36000
Option B
Rs 40000
Option C — Correct answer
Rs 45000
Correct choice.
Option D
Rs 50000
Explanation
After food and rent, $65\%$ remains. Transport takes $40\%$ of that, or $26\%$ of total income. Entertainment takes $30\%$ of the remaining $39\%$, which is $19.5\%$. Final saving is $100-20-15-26-19.5=19.5\%$. So $19.5\%$ corresponds to Rs $8775$, giving income Rs $45000$.