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Question

Study the given table (income in dollars) and answer the question that follows.

Source of incomeAdamBradChristyDavid
Salary350200460500
Bonus9040115130
Overtime16065170185
Arrears200125145235
Total8004308901050

The income from bonus is how much per cent to the income from arrears in the case of Adam?

This question was previously asked in
SSC CGL 2022 Tier-II (Paper 2 JSO) Previous Year Paper (04-Mar-2023)
The correct answer is

45%

Analyzing Income Data from the Table

The question asks us to determine the percentage of income from bonus compared to the income from arrears for Adam. To solve this, we need to extract the relevant income figures for Adam from the provided table.

Source of income Adam Brad Christy David Total
Salary 350 200 460 500 2010
Bonus 90 40 115 130 375
Overtime 160 65 170 185 580
Arrears 200 125 145 235 705
Total 800 430 890 1050 3170

Extracting Adam's Income Figures

From the table, we can find the following income amounts for Adam:

  • Income from Bonus for Adam = 90 dollars
  • Income from Arrears for Adam = 200 dollars

Calculating Percentage of Bonus Income to Arrears Income

To find out what percentage Adam's bonus income is of his arrears income, we use the formula:

$$\text{Percentage} = \left( \frac{\text{Bonus Income}}{\text{Arrears Income}} \right) \times 100\%$$

Substitute the values for Adam:

$$\text{Percentage} = \left( \frac{90}{200} \right) \times 100\%$$

First, calculate the fraction:

$$\frac{90}{200} = \frac{9}{20} = 0.45$$

Now, multiply by 100% to get the percentage:

$$0.45 \times 100\% = 45\%$$

So, the income from bonus is 45% of the income from arrears in the case of Adam.

Final Result

The calculated percentage is 45%.

Revision Table: Key Income Concepts

Understanding different components of income is crucial for financial analysis. Here's a quick look:

  • Salary: Fixed payment for work, usually regular.
  • Bonus: Extra payment, often based on performance or as a reward.
  • Overtime: Payment for working extra hours beyond the standard work time.
  • Arrears: Payments that are overdue or back-dated.

Additional Information: Percentage Calculation Basics

Calculating percentages is a fundamental skill in many areas, including finance and data analysis. A percentage is a way of expressing a number as a fraction of 100. The symbol % is used to indicate a percentage.

To find what percentage 'A' is of 'B', the general formula is:

$$\left( \frac{A}{B} \right) \times 100\%$$

In this problem, 'A' was Adam's bonus income (90) and 'B' was Adam's arrears income (200).

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