Question

A bag contains $50$p, $25$p and $10$p coins in the ratio $5:9:4$, amounting to Rs. $206$. Find the total number of coins.

• A. $700$
• B. $720$
• C. $668$
• D. $672$

Answer 1

Answer: (B)

$720$

Let the number of $10$p coins be $4x$

$\Rightarrow$ Number of $50$p and $25$p coins are $5x$ and $9x$ respectively.

Total amount$=206$

$\therefore 5x\times 0.5+9x\times 0.25+4x\times 0.1=2.5x+2.25x+0.4x=206$

$\Rightarrow 5.15x=206$ i.e. $x=40$

Total number of coins $=5x+9x+4x=18x=720$