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 the number of ₹1 and ₹2 coins are , respectively
(a) 35 and 15 (b) 35 and 20 (c) 15 and 35 (d) 25 and 25

Answer 1

Let the number of ₹1 coins be x and that of ₹2 coins be y.
Now,
Total number of coins = 50
So, x + y = 50 .....(i)
Also,
₹1 × x + ₹2 × y = ₹75
∴ x + 2y = 75 .....(ii)
Subtracting (i) from (ii), we get
y = 25
Putting y = 25 in (i), we get
x + 25 = 50
⇒ x = 25
So, the number of ₹1 coins and ₹2 coins are 25 and 25, respectively.

Hence, the correct answer is option (d).

Disclaimer: The answer given in the book does not match with the one obtained.