Question

Ram and Mohan are friends. Each has some money. If Ram gives $Rs.30$ to Mohan, then Mohan will have twice the money left with Ram. But if Mohan gives $Rs.10$ to Ram, then Ram will have thrice as much as is left with Mohan. How much money does each have?

• A. $Rs.62,Rs.34$
• B. $Rs.6,Rs.2$
• C. $Rs.170,Rs.124$
• D. $Rs.43,Rs.26$

Answer 1

The correct option is A $Rs.62,Rs.34$

Let Ram have Rs. $x$ & Mohan have Rs. $y$.

Then by the first condition,

$2(x-30)=y+30$

$\Rightarrow y=2x-90$ ........(i).

Again, by the second condition,

$3(y-10)=x+10$

$\Rightarrow 3y=x+40$ ........(ii)

Substituting eq(i) in eq(ii),

$3(2x-90)=x+40.$

$\Rightarrow 5x=310$

$\Rightarrow x=Rs.62$

Putting $x=62$ in (i),

$y=2x-90\Rightarrow y=2\times 62-90=Rs.34$

i.e. Ram has $Rs.62$ and Mohan has $Rs.34$