# In an examination, there are three papers each of 100 marks. A candidate obtained 53 marks in the first and 75 marks in the second paper. How many marks must the candidate obtain in the third paper to get an overall of 70 per cent marks

**Solution:**

Given, there are three papers each of 100 marks in an examination.

A candidate obtained 53 marks in the first and 75 marks in the second paper.

We have to find how much marks must the candidate obtain in the third paper to get an overall of 70 percent marks.

According to the question,

Overall percent needed = 70%

Total marks = 3(100) = 300

So, marks needed to obtain 70% = 70% of 300

= (70/100) × 300

= 70 × 3

= 210

Let the marks to be obtained in the third paper be x.

So, 53 + 75 + x = 210

128 + x = 210

x = 210 - 128

x = 82

Therefore, the required mark is 82.

**✦ Try This: **In an examination, there are three papers each of 100 marks. A candidate obtained 73 marks in the first and 55 marks in the second paper. How many marks must the candidate obtain in the third paper to get an overall of 87 per cent marks?

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 8

**NCERT Exemplar Class 7 Maths Chapter 7 Problem 115**

## In an examination, there are three papers each of 100 marks. A candidate obtained 53 marks in the first and 75 marks in the second paper. How many marks must the candidate obtain in the third paper to get an overall of 70 per cent marks

**Summary:**

In an examination, there are three papers each of 100 marks. A candidate obtained 53 marks in the first and 75 marks in the second paper. The candidate must obtain 82 marks in the third paper to get an overall of 70 percent marks.

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