Question

A bag contains Rs. 90 in coins. If coins of 50 paise, 25 paise and 10 paise are in te ratio 2 : 3 : 5, then the number of 25 paise coins in the bag are

• A. 120
• B. 130
• C. 135
• D. 140

Answer 1

The correct option is A 120

Let the number of 50 paise ,25 paise,10paise coins be 2x,3x and 5x.

Then the sum of their values$=(\frac{50\times 2x}{100}+\frac{25\times 3x}{100}+\frac{10\times 5x}{100})$

$\Rightarrow x+\frac{3x}{4}+\frac{x}{2}=\frac{9x}{4}$

$\therefore \frac{9x}{4}=90$

$\Rightarrow x=\frac{90\times 4}{9}=40$

Hence the number of 25 paise coins=$3x=3\times 40=120$