Juhi and Mamta have certain amount of money. If Juhi gives ₹30 to Mamta, Juhi will then have twice as much money as Mamta. However, if Mamta gives ₹10 to Juhi, Juhi will then have four times as much money as Mamta. What is the total amount of money (in ₹) that Juhi and Mamta initially had together?
300
Let Juhi and Mamta's amounts be J and M. After Juhi gives ₹30: \(J-30 = 2(M+30) \Rightarrow J = 2M+90\).
After Mamta gives ₹10: \(J+10 = 4(M-10) \Rightarrow J = 4M-50\).
Equating: \(2M+90 = 4M-50 \Rightarrow 2M=140 \Rightarrow M=70,\ J=230\).
Total: \(J+M = 230+70 = 300\).
Hence, the total amount of money Juhi and Mamta initially had together is ₹300.
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