5/9 of a number is equal to twenty five percent of second number. Second number is equal to 1/4 of third… · ABC26GN0811
Subject: General Aptitude · Chapter: Decimal Fractions
$\frac{5}{9}$ of a number is equal to twenty five percent of second number. Second number is equal to $\frac{1}{4}$ of third number. The value of third number is 2960. What is 30\% of first number ? [DMRC-Customer Relationship Assistant (CRA) Exam, 2016]
(a)99.9
(b)88.8
(c)77.7
(d)None of these
Answer
Answer (as printed): A
Explanation
Let the third number be 2960 $$\text { ∵ Second number }=\frac{1}{4} \text { of third number }=\frac{1}{4} \times 2960=740$$ $\frac{5}{9}$ of first number $=25 \%$ of second number $$\frac{5}{9} \text { first number }=\frac{25 \times 740}{100}=185$$ ⇒ First number $=\frac{185 \times 9}{5}=333$ $$\therefore 30 \% \text { of } 333=\frac{30}{100} \times 333=999$$
Explanation as extracted from the printed page; notation may be imperfect.