CAT 2023 Slot 2 QA Question 15: If a certain amount of money is divided equally among $n$ persons, each one receives Rs. 352. However, if two persons receive Rs. 506 each and the remaining amount is divided equally among the other p

Question

If a certain amount of money is divided equally among $n$ persons, each one receives Rs. 352. However, if two persons receive Rs. 506 each and the remaining amount is divided equally among the other p

Accepted Answer

The total amount of money is $352n$.

If two persons receive Rs. 506 each, then the remaining amount is divided among $n - 2$ persons.
$\dfrac{352n - 2 	imes 506}{n - 2} \leq 330$
$\dfrac{352n - 1012}{n - 2} \leq 330$

Since $n > 2$, multiply both sides by $n - 2$.
$352n - 1012 \leq 330(n - 2)$
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