Question

Ruhi has only Re. $1$ 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. $75$, find the number of Re. $1$ and Rs. $2$ coins with her.

• A. $50$ and $25$
• B. $15$ and $25$
• C. $35$ and $15$
• D. $35$ and $20$

Answer 1

The correct option is A $50$ and $25$

Let no. of 1 rupee coins=$x$

Let no. of 2 rupee coins=$y$

Total amount of money=$75$

$x+2y=75$ ...(1)

Total no. of coins=$50$

$x+y=50$ ...(2)

By solving (1) and( 2), $y=25$ and $x=50$

No. of 1 rupee coins=50

No. of 2 rupee coins=25