Question

Deepti invests 11% of her monthly salary i.e., ₹ 5,236 in Fixed Deposits. Later she invests 19% of her salary on Life Insurance policies and 7% on Mutual Funds. What is the total annual amount invested by Deepti?

• A. 2,11,344
• B. 17,612
• C. 1,05,672
• D. 35,224

Hint:

When a clean percent value is given for a rupee amount, first compute "1%" and scale up—this avoids solving for the full salary explicitly.

Answer 1

The Correct Option is A

Step 1: Find 1% of salary. 
11% \(=\) ₹ 5,236 \(\Rightarrow\) 1% \(=\) \(\frac{5236}{11}=₹ 476\). 

Step 2: Total percent invested per month. 
Total \(=11\%+19\%+7\%=37\%\). 
Monthly investment \(=37\%\) of salary \(=37\times ₹ 476=₹ 17{,}612\). 

Step 3: Annual investment. 
Annual \(=12\times 17{,}612=₹ 2{,}11{,}344\). \[ \boxed{₹ 2{,}11{,}344} \]

Answer 2

Finding Deepti's actual monthly salary first, and then taking 37% of her annual salary directly, offers another path to the same total.

1. 2,11,344: With monthly salary \(=5236/0.11=47{,}600\), the annual salary is \(12\times47{,}600=5{,}71{,}200\), and 37% of that is \(0.37\times5{,}71{,}200=2{,}11{,}344\), matching exactly.
2. 17,612: This is actually the monthly investment (37% of the monthly salary), not the annual figure the question asks for, so it does not answer the question.
3. 1,05,672: This is exactly half of the correct annual figure, so it undercounts the total by a factor of 2.
4. 35,224: This is exactly double the monthly investment of 17,612, but the question asks for the annual total (12 months), not double a month, so this is also incorrect.

Since 11% of the monthly salary is Rupees 5,236, the full monthly salary is \(5236/0.11=47{,}600\), so the annual salary is \(12\times47{,}600=5{,}71{,}200\). Investing \(11\%+19\%+7\%=37\%\) of this annual salary gives \(0.37\times5{,}71{,}200=2{,}11{,}344\).

So the correct answer is 2,11,344.