Question

Aruna has only ₹ 1 and ₹ 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is ₹ 75, then find the number of ₹ 1 and ₹ 2 coins respectively.

• 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 number of ₹ 1 coins = $x$

Let number of ₹ 2 coins = $y$

Now, by given conditions

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

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

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

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

$\Rightarrow y=25$

On substituting $y=25$ in (i) we get

$x+25=50$

$\Rightarrow x=25$

Therefore, there are 25 coins of ₹ 1 and 25 coins of ₹ 2.