A 12% stock yielding 10% is quoted at
Aptitude
Stocks and Shares
Difficulty: Easy
Choose an option
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A₹ 83.33
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B₹ 110
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C₹ 112
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D₹ 120
Answer
Correct Answer: ₹ 120
Explanation
### Concept & Market Quotation
"Quoted at" simply refers to the current market value of the stock. It is derived by comparing the nominal dividend (on face value) with the actual yield (on market value).
$$ \text{Quoted Price} = \left( \frac{\text{Dividend \%}}{\text{Yield \%}} \right) \times 100 $$
### Step-by-Step Solution
* **Given:** Dividend = 12%, Yield = 10%. Assume Face Value = ₹ 100.
* **Step 1: Setup the formula.**
$\text{Market Value} = \frac{12}{10} \times 100$
* **Step 2: Simplify.**
$\text{Market Value} = 1.2 \times 100 = 120$
### Exam Strategy & Shortcut
Mentally fractionate: $\frac{12}{10}$ is exactly $1.2$. Multiply by a baseline face value of 100 to instantly get 120. No paper needed.
### Common Pitfall
Reversing the fraction ($\frac{10}{12}$), which would give 83.33 (option a). Always remember: Market Value = (Dividend / Yield) * Face Value.
### Final Answer
Therefore, the correct answer is **₹ 120**.