Question

In a class containing 15 questions, 5 marks are awarded for every correct answers and-2 marks are awarded for every incorrect answers. Kumar attempts all the questions but 8 of his answers are correct. What is his total score?

Answer 1

$\large\bf\underline{Given:-}$

≫Total number of questions in test = 15

≫marks awarded for correct answer = 5

≫marks reduced for incorrect answer =-2

≫Number of correct answers = 8

$\large\bf\underline {To \: find:-}$

• Total score of Kumar in class test

$\huge\bf\underline{Solution:-}$

Total number of Questions in test = 15

Number of correct Questions = 8

Let the number of incorrect answers be x

So,

Total Questions answered by Kumar contains wrong answer and correct answers.

therefore ,

• 8 + x = 15
• x = 15 - 8
• x = 7

Hence,

Number of incorrect answers answered by Kumar = 7

▶️ According to Question :--

5 marks are awarded for every correct answers and-2 marks are awarded for every incorrect answers.

Marks for correct answers = number of correct answers × marks for 1 correct answer

• ≫ 8 × 5 = 40

Marks for incorrect answers = number of incorrect answers × marks for incorrect answers

• ≫ 7 × (-2) = -14

Total score of = 40 - 14

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 26

Hence,

✝️Kumar score 26 marks in his test

$\rule{200}3$