The ratio of the income of A to that of B is 2 : 5. A and B save Rs 3,000 and Rs 6,000 respectively. If the expenditure of A is equal to 25% of the expenditure of B, then the total income of A and B is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Rs 14,000
Expenditure = income − saving. Write both expenditures from the income ratio and use \(\displaystyle 25\%=\frac{1}{4}\).
Incomes: A \(=2x\), B \(=5x\)
Expenditures: A \(=2x-3000\), B \(=5x-6000\)
\(\displaystyle 2x-3000=\frac{1}{4}(5x-6000)\)
\(8x-12000=5x-6000\), so \(3x=6000\)
\(x=2000\)
Total income \(=2x+5x=7x=\) Rs 14,000
Check: expenditures Rs 1,000 and Rs 4,000, and \(\displaystyle \frac{1000}{4000}=\frac{1}{4}\)
The total income of A and B is Rs 14,000.