Question

A lady has only $Rs2$ and $Rs1$ coin in her purse. If in all, she has $60$ coins, totalling $Rs.105$, how many of each type of coins does she have?

• A. $50,15$
• B. $45,20$
• C. $45,15$
• D. None

Answer 1

Answer: (C)

$45,15$

Let number of Rs 2 coins $=x$
Number of Rs 1 coins $=y$
$x+y=60$ ....... (i)
$2x+y=105$ ..... (ii)
$\therefore x=45$
putting the value of x in eq. (i)
$y=15$
Hence, Number of Rs 2 coins $=45$
Number of Rs 1 coins $=15$.