Anjali spends 15% of her annual income on food, 18% on housing rent, 12% on conveyance and one-third of all of the above expenses on household articles. She has no other expense. Her savings at the end of the year are Rs. 13,040. What is his annual income?
(a) Rs. 32,800
(b) Rs. 32,700
(c) Rs. 32,600
(d) Rs. 32,500.
Solution:
1. Find the total percentage of expenses: \(15\% + 18\% + 12\% = 45\%\).
2. Calculate one-third of the total expenses: \(\frac{1}{3} \times 45\% = 15\%\).
3. Add the one-third of total expenses to the total expenses: \(45\% + 15\% = 60\%\).
4. Subtract the total expenses from 100% to find the savings percentage: \(100\% - 60\% = 40\%\).
5. Since savings are 40% of the annual income and equal to Rs. 13,040, divide the savings by the savings percentage to find the annual income: \(\frac{13,040}{40\%} = 32,600\).
So, Anjali's annual income is Rs. 32,600.
Therefore, the correct option is (c) Rs. 32,600.