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Pragya obtained an average of 24 marks in 15 tests. Zareen has been maintaining an average of 23 marks so far but has taken only 12 of the tests. If each test is out of 30 marks, at least how much does Zareen have to score in any one of the remaining 3 tests to still have a chance to match Pragya’s performance?

Pragya obtained an average of 24 marks in 15 tests. Zareen has been maintaining an average of 23 marks so far but has taken only 12 of the tests. If each test is out of 30 marks, at least how much does Zareen have to score in any one of the remaining 3 tests to still have a chance to match Pragya’s performance? Correct Answer 24

Average marks of Pragya in 15 tests = 24

⇒ Sum of marks of Pragya in 15 tests = 24 × 15 = 360

Average marks of Zareen in 12 tests = 23

⇒ Sum of marks of Zareen in 12 tests = 23 × 12 = 276

Let in other 3 tests Zareen score x marks, then

According to the question

⇒ 276 + x = 360

⇒ x = 360 – 276

⇒ x = 84

Sum of marks of Zareen in other 3 tests = 84

Average marks of Zareen in other 3 tests = 84/3 = 28

As, the maximum marks is 30 in each test

So, Zareen can score of 30 + 30 = 60 marks in any of the two tests

∴ Zareen can score 84 – 60 = 24 marks in any of the test to match Pragya’s performance

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