A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?

Appeared in: NCL (MP) Nursing Officer - 2019

Explanation

The total runs scored by the batsman is 110.
Runs scored from 3 boundaries (4 runs each) is 3 × 4 = 12 runs.
Runs scored from 8 sixes (6 runs each) is 8 × 6 = 48 runs.
The total runs from boundaries and sixes is 12 + 48 = 60 runs.
The runs scored by running between the wickets is the total score minus the runs from boundaries and sixes: 110 - 60 = 50 runs.
The percentage of the score made by running is calculated as (Runs by running / Total score) × 100, which is (50 / 110) × 100 = 45.45%. This value is approximately 45%.

Option B: This is an incorrect calculation. 55% of 110 is 60.5 runs, which does not match the 50 runs scored by running.
Option C: This is incorrect. 50% of 110 is 55 runs. The batsman scored 50 runs by running, not 55.
Option D: While the exact calculated percentage is 45.45% and not exactly 45%, in multiple-choice questions of this type, the closest answer is typically the intended correct option.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculation of percentages based on a real-world scenario involving cricket scores as background academic context rather than a clinical decision trigger.
This question assesses basic arithmetic and percentage calculation, which are fundamental numeracy skills.
In a clinical setting, nurses constantly use these skills for critical tasks like calculating medication dosages, determining IV fluid rates, and interpreting patient data (e.g., percentage of weight loss).
Accuracy in these calculations is vital for patient safety, as errors can lead to incorrect treatment and adverse outcomes.

How to Approach the Question

First, identify the total quantity given in the problem, which is the batsman's total score of 110 runs.
Calculate the runs from the specified parts: runs from boundaries (3 × 4) and runs from sixes (8 × 6).
Sum these parts to find the total runs scored from boundaries and sixes.
Subtract this sum from the total score to find the remaining part, which is the runs scored by running.
Use the percentage formula (Part / Whole) × 100 to find the percentage of runs scored by running.
Compare your calculated percentage to the given options and select the one that is the closest match.

Concept Tested & Keywords

Concept Tested: Calculation of percentages based on a real-world scenario involving cricket scores.
Stem keywords: batsman, scored, 110 runs, boundaries, sixes, running between the wickets
Lead-in keywords: What percent

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