₹9,000 were divided equally among a certain number of persons. Had there been 20 more persons, each would have got ₹160 less. Find the original number of persons.

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Accepted Answer

Step 1: Let original number of persons be $x$. $\frac{9000}{x} - \frac{9000}{x + 20} = 160$
Step 2: $x^2 + 20x - 1125 = 0 \Rightarrow (x + 45)(x - 25) = 0$
Step 3: $x = 25$. $	herefore$ Number of persons $= 25$

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