Question 117

DIRECTION for the question: Solve the following question and mark the best possible option.

Of 132 examinees of a certain school, the ratio of successful to unsuccessful candidates is 9:2. If 4 more students had passed, what would have been the ratio of successful to unsuccessful students?

Out of 132 examinees of a certain school, the ratio of successful to unsuccessful candidates is 9:2

Let successful candidates = 9x

Let unsuccessful candidates = 2x

$$\therefore$$ 9x + 2x = 132

$$\therefore$$ 11x = 132 $$\Rightarrow$$ x = 12

$$\Rightarrow$$ Successful candiates = 108

$$\Rightarrow$$ Unsuccessful candidates = 24

Now, 4 more candidates pass

$$\therefore$$ Successful candidtes = 112

$$\therefore$$ Unsuccessful candidates = 20

$$\Rightarrow$$ Ratio = 112 : 20 = 28 : 

Hence option B is the correct choice

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