Question

Sujit and Suraj each have some money. If Sujit gives Rs.10 to Suraj, then Suraj will have twice the money left with Sujit. But, if Suraj gives Rs.10 to Sujit, then they both have an equal amount of money. How much money does Sujit have?

• A. Rs. 70
• B. Rs. 80
• C. Rs. 60
• D. Rs. 50

Hint:

In age/money problems with multiple conditions: - Convert each statement into an equation - Express all variables in terms of one variable - Substitute step-by-step to avoid confusion

Answer 1

The Correct Option is D

Concept:
Step 1: Set up the equations.
Let Sujit have \(x\) and Suraj have \(y\).
From case 2: \(y - 10 = x + 10 \Rightarrow y = x + 20\).
From case 1: \(y + 10 = 2(x - 10)\).

Step 2: Substitute and solve.
\((x + 20) + 10 = 2x - 20\)
\(x + 30 = 2x - 20\)
\(x = 50\).