Question

Rs 6500 were divided equally among a certain number of persons. Had there been 15 more persons, each would have got Rs 30 less. Find the original number of persons.

• A. 50
• B. 60
• C. 40
• D. 55

Answer 1

Answer: (A)

50

Answer 2

Assume the number of passengers be $x$

The amount received by each person be $Rs. \frac{6500}{x}$

From the question we know that,
$= (x + 15) (\frac{6500}{x} - 30) = 6500$

= $6500 - 30x + (\frac{15 \times 6500}{x}) - 450 = 6500$

= $- 30x^2 + (15 \times 6500) - 450x = 0$

= $x^2 + 15x - 3250 = 0$

= $(x + 65)(x - 50) = 0$

So, the value of $x$ can be - 65 and 50

The number of persons cannot be negative so, 50

The correct option is (A): 50