When an amount was distributed among 14 boys, each of them got ₹ 80 more than the amount received by each boy… · ABC26GN0866
Subject: General Aptitude · Chapter: Simplification
When an amount was distributed among 14 boys, each of them got $₹ 80$ more than the amount received by each boy when the same amount is distributed equally among 18 boys. What was the amount?
Answer
No answer key was printed for this question.
Explanation
Let the total amount be ₹ $x$. Then, $$\frac{x}{14}-\frac{x}{18}=80 \Leftrightarrow \frac{2 x}{126}=80 \Leftrightarrow \frac{x}{63}=80 \Leftrightarrow x=63 \times 80=5040 .$$ Hence, total amount = ₹ 5040.
Explanation as extracted from the printed page; notation may be imperfect.