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Problem Solving

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A contestant is paid Rs. 5 for each correct answer, but must pay back Rs. 4 for each wrong answer. After answering 20 questions, Mr. Smith won Rs. 55. How many questions did he answer correctly?

1 Answer

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Let the number of correct answers and wrong answers be x and y

Now, the total number of questions = 20

Hence, x + y = 20....(1)

For every correct answer, you get 5Rs and for every wrong answer, you lose 4Rs

Total amount contestant has = 55

Hence, 5x - 4y = 55....(2)

Solving 1 and 2,  you'll get

x=15 and y=5.

Thus, the number of correct answers = 15
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