Question

Divide Rs. 2700 among Asha Nisha and vidhi such that Rs. 300 less then Nisha and vidhi gets half of what Asha gets. vidhi gets the how much​

Answer 1

Answer:

$\huge \fbox \color{lime}{✯Solution࿐}$

️‍️

Money = 2700 to be divided among Asha , Nisha and vidhi.

️‍️

Let Asha's amount be 'x'

Nisha's amount be 'y'

& Vidhi's amount be 'z'

️‍️

According to the Question ;

x = y - 300

$\tt \: z = \frac{x}{2} = \frac{y - 300}{2}$

And , x + y + z = 2700

$\tt \: y - 300 + y + \frac{y - 300}{2} = 2700$

$\tt \: = > 2(y - 300) + 2y + (y - 300)$

$\tt \: 5y - 900 = 5400$

$\tt \green{\: y = \frac{6300}{5} = 1260}$

$\tt \green{ \: x = 1260 - 300 = 960 }$

$\tt \green{\: z = \frac{960}{2} = 480}$

_________________________________