1)

A bag contains 25 paise, 10 paise and 5 paise coins in the ratio 1:2:3. If their total value is Rs.30, the number of 5 paise coins is:


A) 50

B) 100

C) 150

D) 200

E) 250

Answer:

Option C

Explanation:

Let the number of 25p, 10p, 5p coins be $x$, $2x$, $3x$ respectively.

Then, sum of their values $=\left(\frac{25x}{100}+\frac{10\times 2x}{100}+\frac{5\times 3x}{100}\right)=30$

$\Rightarrow\frac{x}{4}+\frac{2x}{10}+\frac{3x}{20}$ $=30$

$ \frac{5x+4x+3x}{20}=30$ $\Rightarrow 12x=600$ $\Rightarrow x=50$.

$\therefore$ Number of 5p coins $=3x$ $= 150$