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In a class test consisting of 10 questions, 5 marks are awarded for every correct answer, 2 marks are deducted for every incorrect answer and no marks are given for questions not attempted. Mohan gets four correct and six incorrect answers. What is his total score?

In a class test consisting of $10$ questions, $5$ marks are awarded for every correct answer, $2$ marks are deducted for every incorrect answer and no marks are given for questions not attempted. Mohan gets four correct and six incorrect answers. What is his total score?

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Compare ratios: word problems

Full solution

Q. In a class test consisting of

10

questions,

5

marks are awarded for every correct answer,

2

marks are deducted for every incorrect answer and no marks are given for questions not attempted. Mohan gets four correct and six incorrect answers. What is his total score?

Calculate Total Marks: Calculate the total marks for correct answers. $\newline$ Mohan got $4$ correct answers, and each correct answer is worth $5$ marks. $\newline$ Calculation: $4$ correct answers $\times 5$ marks/answer $= 20$ marks.
Calculate Deducted Marks: Calculate the total marks deducted for incorrect answers. $\newline$ Mohan got $6$ incorrect answers, and $2$ marks are deducted for each incorrect answer. $\newline$ Calculation: $6$ incorrect answers $\times 2$ marks deducted/answer $= 12$ marks deducted.
Calculate Final Score: Calculate the final score by subtracting the deducted marks from the marks obtained for correct answers. $\newline$ Calculation: $20$ marks - $12$ marks deducted = $8$ marks.

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