Let Sindhu have total amount at the beginning = x
And
Ruchi have total amount at the beginning = y
Now according to first condition , we get
x = 2y -------------------------- ( 1 )
Now we Ruchi spent Rs 60 and Sindhu spent Rs. 210 and remaining ammount is same , SO
x - 210 = y - 60
2y - 210 = y - 60 ( From equation 1 x = 2y )
y = 150 , Substitute that value in equation 1 and get
x = 2 ( 150 )
x = 300
So,
At the beginning Ruchi had total amount = Rs . 150
And
Sindhu had total amount= Rs , 300