A person saves 60% of his income. If his expenditure is ₹400, then his income(in ₹) is:

Appeared in: DSSSB 14 August 2024

Explanation

The problem states that savings account for 60% of the total income.
Since Income = Savings + Expenditure, the expenditure must be the remaining part: 100% - 60% = 40% of the income.
The expenditure is given as ₹400. Therefore, 40% of the total income is equal to ₹400.
To find the total income (which is 100%), we can set up the equation: (40/100) * Income = 400.
Solving for the income gives: Income = (400 * 100) / 40 = ₹1000.

Option A: If the income were ₹840, the expenditure (40%) would be 0.40 * 840 = ₹336, which does not match the given expenditure of ₹400.
Option B: If the income were ₹1040, the expenditure (40%) would be 0.40 * 1040 = ₹416, not the stated ₹400.
Option D: If the income were ₹700, the expenditure (40%) would be 0.40 * 700 = ₹280, which is not the given ₹400.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculating total income from expenditure and savings percentage as background academic context rather than a clinical decision trigger.
While this is a general aptitude question, a strong grasp of percentages is essential in many nursing calculations, including drug dosages, IV drip rates, and interpreting changes in lab values.
Financial literacy, including the ability to budget based on income and expenditure, is a crucial life skill for personal and professional stability.
What if? If the person's savings were 40% instead of 60%, their expenditure would be 60%. The income would then be calculated as (400 * 100) / 60, which is approximately ₹666.67.

How to Approach the Question

First, identify the given information: Savings = 60% of income, and Expenditure = ₹400.
Recognize that total income represents 100%, and it is composed of two parts: savings and expenditure.
Calculate the percentage of income that goes towards expenditure: 100% (Total Income) - 60% (Savings) = 40% (Expenditure).
Set up a simple algebraic equation. Let 'I' be the income. The problem states that 40% of I is ₹400, so write this as (40/100) * I = 400.
Solve the equation for 'I' to find the total income.
Finally, verify that your calculated income, when the 40% expenditure is applied, equals ₹400, and check it against the given options.

Concept Tested & Keywords

Concept Tested: Calculating total income from expenditure and savings percentage.
Stem keywords: saves, income, expenditure, 60%
Lead-in keywords: income is

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Practise the full DSSSB 14 August 2024

Attempt every question from this paper in a timed mock, then review the full solution for each one.