Directions: Study the following table and answer the questions that are given below: Expenditure of a Company (In Lakh Rupees) Per Annum Over The Given Years | Year ↓ | Salary | Fuel and Transport | Bonus | Interest on Loans | Taxes | | :--- | :--- | :--- | :--- | :--- | :--- | | **2007** | 288 | 98 | 3.00 | 23.4 | 83 | | **2008** | 342 | 112 | 2.52 | 32.5 | 108 | | **2009** | 324 | 101 | 3.84 | 41.6 | 74 | | **2010** | 336 | 133 | 3.68 | 36.4 | 88 | | **2011** | 420 | 142 | 3.96 | 49.4 | 98 | The total amount of bonus paid by the company during the given period is approximately what per cent of the total amount of salary paid during this period ?
Aptitude
Percentage
Difficulty: Medium
Choose an option
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A0.1 %
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B0.5 %
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C1 %
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D1.25 %
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E1.11 %
Answer
Correct Answer: 1 %
Explanation
### Concept & Percentage Relationship
To find out what percentage one quantity ($A$) is of another quantity ($B$), use the formula:
$$ \text{Percentage} = \left( \frac{A}{B} \right) \times 100 $$
Here, $A$ represents the sum of all bonuses across all years, and $B$ represents the sum of all salaries across all years.
### Step-by-Step Solution
* Calculate the total amount of bonus paid over all the years (2007 to 2011):
$3.00 + 2.52 + 3.84 + 3.68 + 3.96$
$= 17$ (in Lakh Rupees)
* Calculate the total amount of salary paid over all the years:
$288 + 342 + 324 + 336 + 420$
$= 1710$ (in Lakh Rupees)
* Set up the percentage expression:
$$ \text{Required \%} = \left( \frac{17}{1710} \right) \times 100 $$
* Calculate the percentage:
$$ \frac{1700}{1710} \approx 0.994\% $$
* Rounding to the closest option provides $1\%$.
### Exam Strategy & Shortcut
Once you find the total bonus is $17$ and total salary is $1710$, recognize the direct 1-to-100 relationship between $17$ and $1700$.
$1\%$ of $1710$ is exactly $17.1$. Since our total bonus is $17$, which is virtually identical to $17.1$, the answer is roughly exactly $1\%$.
### Common Pitfall
A common error is confusing the baseline value, which could result in calculating Salary as a percentage of Bonus (yielding $\approx 10000\%$). Another risk is misaligning decimals during the addition of the Bonus column, leading to totals like $170$ instead of $17$.
### Final Answer
Therefore, the correct answer is **1 %**.