In an examination the ratio of the number of candidates who passed to those who failed was 5 2 If th...........

Quantitative Aptitude (MTS) Ratio, Proportion

In an examination,the ratio of the number of candidates who passed, to those who failed was 5 : 2. If the number of failed

candidates had been 14 more, then the ratio of the number of passed candidates to those who failed would have been 9 : 5.

How many candidates passed in examination?

This questions was previously asked in

SSC MTS 2nd Nov 2021 Shift-2

View All SSCMTS Previous Year Papers

210

196

203

126

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Explanation:

Correct option 2: 196

The success to failure ratio = 5:2
When the number of failures are 14 more, then the success to failure ratio would have been 9:5
Calculation:
Let the successful candidates be 5x and the failure candidates be 2x.
According to Question,
(5x-14)/(2x+14) = 9/5
⇒25x-70 = 18x + 126
⇒x= 196/7= 28
Total number of candidates who appeared for the examination = 5x + 2x = 7x= 7 x 28 = 196