Question

Question 12
Aruna has only Rs. 1 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 the number of Rs. 1 and Rs. 2 coins are, respectively
(A) 35 and 15
(B) 35 and 20
(C) 15 and 35
(D) 25 and 25

Answer 1

Answer - D

Let number of Rs. 1 coins = x
and number of Rs. 2 coins = y
Now, by given conditions
x + y = 50 .... (i)
also, $x\times 1+y\times 2=775$
$\Rightarrow x+2y=75$ .... (ii)
On subtracting Eq. (i) from Eq. (ii), we get
$(x+2y)–(x+y)=75–50$
$\Rightarrow y=25$
Substituting y = 25 in equation (i), we get
x + 25 = 50
$\Rightarrow x=25$

Thus, Aruna has 25 Re 1 coins and 25 Rs 2 coins.