A man spends 35% of his income on food, 25% on his children's education, and…
2023
A man spends 35% of his income on food, 25% on his children's education, and 80% of the remaining income on house rent. What percentage of his income is left?
Answer: B. 8% — ConceptWhen several expenses are expressed as percentages of the same original income, subtract them from 100% to find the first remainder. If a later expense…
- A.
6%
- B.
8%
- C.
12%
- D.
10%
Attempted by 20 students.
Show answer & explanation
Correct answer: B
Concept
When several expenses are expressed as percentages of the same original income, subtract them from 100% to find the first remainder.
If a later expense is a percentage of that remainder, multiply the remainder by the fraction that is left after that expense.
Application
Assume the total income is ₹100.
Food and education together use ₹35 + ₹25 = ₹60, so ₹100 − ₹60 = ₹40 remains.
House rent uses 80% of ₹40: (80/100) × ₹40 = ₹32.
The amount left after rent is ₹40 − ₹32 = ₹8.
Cross-check
Total spending is ₹35 + ₹25 + ₹32 = ₹92. Therefore, ₹100 − ₹92 = ₹8, which is 8% of the assumed income.
Result
The man is left with 8% of his income.