Tara scored 40 marks in a test, getting 3 marks for each right an… - Vidyadip

Question

Tara scored $40$ marks in a test, getting $3$ marks for each right answer and losing $1$ mark for each wrong answer. Had $4$ marks been awarded for each correct answer and $2$ marks been deducted for each wrong answer, then Tara would have scored $50$ marks. Assuming that Tara attempted all questions, find the total number of questions in the test.

✓

Answer

Let number of correct answers be x and number of incorrect answers be $y$
$3 x-y=40$
$4 x-2 y=50$
Solving, we get $x=15, y=5$
$\therefore$ Total number of questions $=20$

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