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1100 boys and 700 girls are examined in a test; 42% of the boys and 30% of the girls pass. The percentage of the total who failed is :

A. $$58\% $$

B. $$62\frac{2}{3}\% $$

C. $$64\% $$

D. $$78\% $$

Answer: Option B

Solution(By Examveda Team)

Total number of students :
= 1100 + 700
= 1800
Number of students passed :
= (42% of 1100 + 30% of 700)
= (462 + 210)
= 672
Number of failures :
= 1800 - 672
= 1128
∴ Percentage failure :
= $$\left( {\frac{{1128}}{{1800}} \times 100} \right)\% $$
= $$62\frac{2}{3}\% $$

This Question Belongs to Arithmetic Ability >> Percentage

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