Question

arun wrote a an entrance test he had two sponsors the first one came forward to donate five times the questions he answers correctly plus five hundred rupees the second one offered fifteen times the number of correct questions plus two hundred. arun receives equal amount of rupees from two sponsors according two their condition find the number of correct questions answered by him?

Answer 1

Answer:

Arun solved 30 correct questions.

Step-by-step explanation:

Given - Arun marked a certain amount of answers as correct
            Sponsor 1 gave him 5 times the question + 500 Rs
            Sponsor 2 gave him 15 times the question + 200 Rs
            The amount given by Sponsors 1 and 2 is the same.
To find - The number of correct answers

Solution -
Let the number of correct questions marked by Arun be x.

Thus, the amount given by the 1st sponsor would be - $5x + 500$

Similarly, the amount given by the 2nd sponsor would be - $15x + 200$

This, with the given fact that both amounts are the same, can then be written and solved as follows -

$5x + 500 = 15x + 200\\300 = 10x\\x = 30$

Thus, Arun solved 30 questions correct.

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