Question

Aruna has only Re1 and Rs.2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs. 75, then find the number of Re1 and Rs.2 coins Aruna has.

• A. 35 and 15
• B. 25 and 20
• C. 15 and 35
• D. 25 and 25

Answer 1

The correct option is D 25 and 25

Let the number of Re1 coins = $x$

Let the number of Rs 2 coins = $y$

Now, by the given conditions

$x+y=50$ ....(i)

Also, $x+2y=75$ ....(ii)

On subtracting equation(i) from equation(ii), we get

$(x+2y)-(x+y)=75-50$

$\Rightarrow y=25$

Substituting $y=25$ in (i) we get

$x+25=50\Rightarrow x=25$