9persons were to pay equal amount to a certain fund. If there were three persons less then each would have to contribute four rupees more then what is the amount of the fund?
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Hi friend!
Let's see,
9 persons paid -
![9x \: rupees 9x \: rupees](https://tex.z-dn.net/?f=9x+%5C%3A+rupees)
6 persons paid -
![6y \: rupees 6y \: rupees](https://tex.z-dn.net/?f=6y+%5C%3A+rupees)
If
![y = x + 4 y = x + 4](https://tex.z-dn.net/?f=y+%3D+x+%2B+4)
then
![6y = 6(x + 4) 6y = 6(x + 4)](https://tex.z-dn.net/?f=6y+%3D+6%28x+%2B+4%29)
![9x = 6(x + 4) \\ 9x = 6x + 24 \\ 9x - 6x = 24 \\ 3x = 24 \\ x = \frac{24}{3} \\ x = 8 9x = 6(x + 4) \\ 9x = 6x + 24 \\ 9x - 6x = 24 \\ 3x = 24 \\ x = \frac{24}{3} \\ x = 8](https://tex.z-dn.net/?f=9x+%3D+6%28x+%2B+4%29+%5C%5C+9x+%3D+6x+%2B+24+%5C%5C+9x+-+6x+%3D+24+%5C%5C+3x+%3D+24+%5C%5C+x+%3D++%5Cfrac%7B24%7D%7B3%7D++%5C%5C+x+%3D+8)
Fund =
![9x = 9 \times 8 = 72 \: rupees 9x = 9 \times 8 = 72 \: rupees](https://tex.z-dn.net/?f=9x+%3D+9+%5Ctimes+8+%3D+72+%5C%3A+rupees)
Fund = ₹72
Hope you found my answer useful. Keep Smiling!
Let's see,
9 persons paid -
6 persons paid -
If
then
Fund =
Fund = ₹72
Hope you found my answer useful. Keep Smiling!
alok3084:
please prove it
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