A batsman scored 120 runs in a cricket match. He hit 14 fours and 4 sixes during his innings. What percent of his runs was scored in boundaries?

Appeared in: DSSSB - 28 August 2019 (Shift-1)

Explanation

First, calculate the total runs scored from boundaries. This includes runs from both fours and sixes.
Runs from 14 fours = 14 × 4 = 56 runs.
Runs from 4 sixes = 4 × 6 = 24 runs.
Total runs from boundaries = 56 + 24 = 80 runs.
To find the percentage, divide the runs from boundaries by the total runs and multiply by 100: (80 / 120) × 100.
This calculation simplifies to (2/3) × 100, which is approximately 66.67%.

Option A: 75% of 120 is 90 runs. The batsman scored only 80 runs in boundaries, not 90.
Option B: 50% of 120 is 60 runs. The actual number of runs from boundaries is 80.
Option C: 70% of 120 is 84 runs. This is close to the actual value of 80 but is not the precise answer.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculating percentages based on word problems as background academic context rather than a clinical decision trigger.
While not a clinical question, proficiency in basic mathematics, including percentages, is a fundamental skill for nurses.
Nurses use percentage calculations daily for tasks like medication dosage calculations (e.g., titrating an IV drip), assessing nutritional intake, and interpreting lab results (e.g., percentage of hematocrit).
What if the total score was 160 runs with the same boundaries? The percentage would change to (80/160) * 100 = 50%. This highlights how the 'whole' or total value is crucial in percentage calculations.

How to Approach the Question

First, carefully read the question to identify all the given numerical values: total runs (120), number of fours (14), and number of sixes (4).
Determine what the question is asking for, which is the percentage of total runs that were scored from boundaries (fours and sixes).
Calculate the 'part' of the whole. In this case, calculate the total runs from boundaries: (14 × 4) + (4 × 6).
Apply the standard percentage formula: (Part / Whole) × 100. Here, it's (Total Boundary Runs / Total Runs) × 100.
Perform the division and multiplication to get the final percentage.
Compare your calculated result with the given options to find the correct answer.

Concept Tested & Keywords

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Practise the full DSSSB - 28 August 2019 (Shift-1)

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