Rohit and madhur shared a sum money in the ratio 3:2. After Rohit gave 1/2 of his share to Madhur, madhur had Rs 140. what was the sum of money they together had?
Answers
Answered by
0
Answer:
3:2=1:6
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Answered by
0
Answer:
Since we have given that
Ratio of sum of money of Rohit and Madhur is 3:2
So, Let the sum of money Rohit has be 3x
Let the sum of money Madhur has be 2x
Now, we have given that
\text{ Rohit gave }\frac{1}{2}\text{ of his share to Madhur} Rohit gave
2
1
of his share to Madhur
According to question,
\begin{gathered}2x+\frac{3x}{2}=140\\\\\frac{4x+3x}{2}=140\\\\\frac{7x}{2}=140\\\\x=140\times \frac{2}{7}\\\\x=40\end{gathered}
2x+
2
3x
=140
2
4x+3x
=140
2
7x
=140
x=140×
7
2
x=40
So, Amount Madhur has
2x=2\times 40=802x=2×40=80
And
Amount Rohit has
4x=4\times 40=1604x=4×40=160
Total amount of money they together had
160+80=240160+80=240
Hence, They together had Rs.240
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