In a school, 56% of the students are boys and 32% of all students secured first class. If 25% of the boys secured first class and 162 girls secured first class, find the total number of students in the school.
Answer and solution
Correct answer: 900
Solution
Let total $= N$. Boys $= 56\%$ of $N$.
Boys with first class $= 25\%$ of $56\% = 14\%$ of $N$
Girls with first class $= 32\% - 14\% = 18\%$ of $N = 162$
$N = \dfrac{162 \times 100}{18} = 900$
Boys with first class $= 25\%$ of $56\% = 14\%$ of $N$
Girls with first class $= 32\% - 14\% = 18\%$ of $N = 162$
$N = \dfrac{162 \times 100}{18} = 900$