Question

When an amount was distributed among $14$ boys, each of them got Rs. $80$ more than the amount received by each boy when the same amount is distributed equally among $18$ boys. What was the amount?

• A. Rs. $5040$
• B. Rs. $5820$
• C. Rs. $5802$
• D. Rs. $3920$

Answer 1

The correct option is A Rs. $5040$

Let the amount distributed to each individual be $x$ Rs.

When the amount was distributed to $14$ boys

$\therefore$amount received by each boy=$\frac{x}{14}$

When the amount was distributed to $18$ boys

$\therefore$amount received by each boy=$\frac{x}{18}$

According to question,

$\frac{x}{14}-\frac{x}{18}=80$

$\Rightarrow \frac{18x-14x}{18\times 14}=80$

$\Rightarrow \frac{4x}{18\times 14}=80$

$\Rightarrow x=\frac{18\times 14\times 80}{4}$

$\Rightarrow x=5040$

Total amount$=x=5040$ Rs.