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Ratio of Rohit : Madhur = 3 : 2 (Given)
STEP 1: Define x:
Let x be the constant ratio:
Ratio of Rohit : Madhur = 3x : 2x
STEP 2: Form Equation:
After Rohit gave 1/2 to Madhur, Madhur had Rs 140
⇒ 1/2 (3x) + 2x = 140
STEP 3: Solve x:
1/2 (3x) + 2x = 140
3/2 x + 2x = 140
7/2 x = 140
7x = 280
x = 40
STEP 4: Find the sum of money they have altogether:
Sum of money = 2x + 3x = 5x
5x = 5(40) = Rs 200
Answer: They have Rs 200 altogether
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