Question

Seema has only ₹1 and ₹2 coins with her. If the total number of coins that she has is 75 and the amount of money with her is ₹100, then the number of ₹1 and ₹2 coins respectively are

• A. 50 and 25
• B. 25 and 50
• C. 60 and 15
• D. 35 and 50

Answer 1

The correct option is A 50 and 25

Let the number of ₹1 coins be $x$ and that of ₹2 coins be $y$
Now, by given conditions $x+y=75....\left(i\right)$
And, $x\times 1+y\times 2=100$
$\Rightarrow x+2y=100$ .... (ii)
(ii)-(i)$⟹(x+2y)–(x+y)=100–75=25$
$\Rightarrow y=25$
Substituting this value of $y$ in (i), we get
x + 25 = 75
$\Rightarrow x=50$

Thus, Seema has 50 ₹1 coins and 25 ₹2 coins.