In a 300-mark exam where the qualifying mark is 150, …

Mathematics Questions

5. In a certain exam of 300 marks, 150 is the qualifying mark. Rohit scored 120 out of 300. In order to qualify for the exam, what percentage of marks does he need to secure more?A. 10%B. 25%C. 30%D. 50%

Short Answer

The process begins by identifying the problem, which involves calculating the extra marks Rohit needs to pass and the necessary percentage increase from his current score. With total marks of 300, qualifying marks of 150, and a current score of 120, Rohit requires 30 additional marks, translating to a 25% increase to qualify for the exam.

Step-by-Step Solution

Step 1: Understand the Problem

Begin by identifying what needs to be calculated. In this case, we must determine the number of additional marks Rohit requires to pass the exam and the percentage increase needed based on his current score. Establishing this foundation is crucial for accurate calculations.

Step 2: Identify the Key Values

Gather the critical data points necessary for the calculations. This includes:

  • Total marks for the exam: 300
  • Qualifying marks: 150
  • Marks scored by Rohit: 120

These values will help you perform the calculations needed to find the additional marks and percentage increase.

Step 3: Calculate Marks Needed and Percentage Increase

First, compute the additional marks Rohit needs:

  • Marks needed: 150 (qualifying marks) – 120 (Rohit’s score) = 30 marks

Next, calculate the required percentage increase:

  • Percentage needed: (30 marks needed / 120 marks scored) ‚àöo 100 = 25%

This means Rohit must increase his score by 25% to qualify for the exam.

Related Concepts

Problem Identification

The process of recognizing and defining what needs to be resolved or calculated in a given situation

Key Values

Essential data points necessary for calculations, such as total marks, qualifying marks, and scores

Percentage Increase

A mathematical expression that indicates how much a quantity has increased relative to its original amount, typically shown as a percentage.

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