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Question

In an examination, 80% students passed. If 9 less had appeared and 5 less passed, the ratio of passes to failures would have been 5:1.
Then the number of students passed and appeared are
  1. 40,50
  2. 80,100
  3. 60,75
  4. 32,40

A
40,50
B
32,40
C
80,100
D
60,75
Solution
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Q1
In an examination, 80% students passed. If 9 less had appeared and 5 less passed, the ratio of passes to failures would have been 5:1.
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In an examination, the ratio of passes to failures was 4 : 1. Had 30 less appeared and 20 less passed, the ratio of passes to failures would have been 5 : 1. Find the number of students who appeared for the examination.
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In examination, the ratio of passes to failures was 4:1. Had 30 less appeared and 20 less passed the ratio passes to failures would have same. Find the no of total students.
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Q5

In an examination, the ratio of passes to failures was 4 : 1. Had 30 less appeared and 20 less passed, the ratio of passes to failures would have been 5 : 1 Find the number of students who appeared for the examination.

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In the second case: no. of students appeared = x + y - 30 and no. of those who passed = x - 20:

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