Mohan gets $3$ marks for each correct answer and loses $2$ marks for each wrong answer. He attempts $30$ problems and obtains $40$ marks. The number of problems solved correctly is ____.

10

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15

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20

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25

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Solution

The correct option is C $20$
Let the number of correct answers be $x$
$\Rightarrow$ Number of wrong answers $= 30 - x$
Marks obtained by Mohan $= 40$

$\Rightarrow 3 x - 2 (30 - x) = 5 x - 60 = 40$

$∴ x = 20$
Number of problems solved correctly $= 20$

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Mohan gets 3 marks for each correct answer and loses 2 marks for each wrong answer. He attempts 30 problems and obtains 40 marks. The number of problems solved correctly is ____.

The correct option is C 20Let the number of correct answers be x⇒ Number of wrong answers =30−xMarks obtained by Mohan =40⇒3x−2(30−x)=5x−60=40∴x=20Number of problems solved correctly =20

Mohan gets $3$ marks for each correct answer and loses $2$ marks for each wrong answer. He attempts $30$ problems and obtains $40$ marks. The number of problems solved correctly is ____.

The correct option is C $20$
Let the number of correct answers be $x$
$\Rightarrow$ Number of wrong answers $= 30 - x$
Marks obtained by Mohan $= 40$

$\Rightarrow 3 x - 2 (30 - x) = 5 x - 60 = 40$

$∴ x = 20$
Number of problems solved correctly $= 20$