A batsman scored 90 runs in a cricket match. He hit 10 fours and 5 sixes during his innings. What percent of his runs was scored in boundaries?

Appeared in: DSSSB - 29 August 2019 (Shift-1)

Explanation

First, calculate the total runs scored from boundaries, which include both fours and sixes.
Runs from 10 fours = 10 × 4 = 40 runs.
Runs from 5 sixes = 5 × 6 = 30 runs.
The total runs from boundaries is the sum of these: 40 + 30 = 70 runs.
Next, to find the percentage, divide the boundary runs by the total runs and multiply by 100.
Percentage = (Boundary Runs / Total Runs) × 100 = (70 / 90) × 100, which simplifies to (7/9) × 100 ≈ 77.77%.

Option A: 33% corresponds to a fraction of 5/6, which would mean approximately 75 runs out of 90 were scored in boundaries. The actual number of boundary runs is 70.
Option B: 55% corresponds to a fraction of 5/9, which would mean 50 runs out of 90 were scored in boundaries. The actual number of boundary runs is 70.
Option D: 67% corresponds to a fraction of 2/3, which would mean 60 runs out of 90 were scored in boundaries. The actual number of boundary runs is 70.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculating Percentages as background academic context rather than a clinical decision trigger.
What if? - If the stem changed one defining clue so that 77.77 percent no longer matched, reassess the option whose mechanism, classification, or indication now fits the revised presentation.

How to Approach the Question

First, read the question carefully to identify what is being asked. Here, the goal is to find the percentage of runs from boundaries.
Identify all the given data: Total runs = 90, Number of fours = 10, Number of sixes = 5.
Calculate the total runs scored from boundaries. Multiply the number of fours by 4 and the number of sixes by 6, then add them together.
Set up the percentage calculation using the formula: Percentage = (Part / Whole) × 100.
In this problem, the 'Part' is the total runs from boundaries, and the 'Whole' is the total runs scored.
Perform the division and multiplication to find the final percentage and match it with the given options.

Concept Tested & Keywords

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Practise the full DSSSB - 29 August 2019 (Shift-1)

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