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A person earns Rs. 2000 per month over and above his salary as additional charge allowance. However, 30% of this additional income will be deducted as additional income-tax at source. If the person would deposit Rs. 1000 per month on a long-term saving fetching 12% interest his tax liability on the additional allowance would reduce to 10%. What is the effective interest for this person for money invested in the long-term savings scheme ?
Explanation
Initial TDS on the additional allowance at 30% is 0.30×2000 = Rs.600; after the investment the tax on the allowance becomes 10% i.e. 0.10×2000 = Rs.200, so immediate tax saving = Rs.400 per month [2]. The person deposits Rs.1000 but effectively parts with only 1000−400 = Rs.600 net outflow. The investment yields 12% on the full Rs.1000, i.e. Rs.120 per year. The effective return on the actual money parted with = 120/600 = 0.20 = 20% per annum. This uses the standard notion of effective interest as benefit divided by net cash outflow [3].
Sources
- [1] Indian Economy, Vivek Singh (7th ed. 2023-24) > Chapter 4: Government Budgeting > Following are certain basic features of the above taxes: - > p. 168
- [2] Indian Economy, Vivek Singh (7th ed. 2023-24) > Chapter 16: Terminology > 16 Terminology > p. 463
- [3] Indian Economy, Vivek Singh (7th ed. 2023-24) > Chapter 2: Money and Banking- Part I > 2.4 Securities > p. 43
SIMILAR QUESTIONS
The average monthly income of a person in a certain family of 5 is Rs. 1000. What will be the monthly average income of a person in the same family if the income of one person increased by Rs. 12,000 per year ?
The average salary of 100 employees in an office is Rs 16,000 per month. The management decided to raise salary of every employee by 5% but stopped a transport allowance of Rs 800 per month which was paid earlier to every employee. What will be the new average monthly salary?
The following table shows the frequency distribution of weekly wages of 65 employees:
| Wages (in Rupees) | No. of employees |
|---|---|
| 251-260 | 8 |
| 261-270 | 10 |
| 271-280 | 16 |
| 281-290 | 14 |
| 291-300 | 10 |
| 301-310 | 5 |
| 311-320 | 2 |
What is the difference between the percentage of employees earning between Rs. 261 and Rs. 300 per week and employees earning less than Rs. 281 per week?