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In a Combined Test in English and Physics; 36% Candidates Failed in English; 28% Failed in Physics and 12% in Both; Find: the Total Number of Candidates Appeared, If 208 Candidates Have Failed. - Mathematics

Sum

In a combined test in English and Physics; 36% candidates failed in English; 28% failed in Physics and 12% in both; find:
the total number of candidates appeared, if 208 candidates have failed.

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Solution

Candidates failed only in English
= 36% - 12%
= 24%
Candidates failed only in Physics
= 28% - 12%
 =16%
Candidates failed in both subjects = 12%
Total failed candidates 
= 24% + 16% + 12%
= 52%
If failed candidates are 52, then total candidates appeared = 100
If failed candidates is 1, then total candidates appeared = `(100)/(52)`
if failed candidates are 208, the total candidates appeared
= `(100)/(52) xx 208`
= 100 x 4
= 400

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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 7 Percent and Percentage
Exercise 7 (B) | Q 3.2 | Page 86
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