A piggy bank holds 50-paise, ₹1 and ₹2 coins in the ratio $6 : 3 : 2$ by number. The coins are worth ₹150 in all. How many 50-paise coins are in the piggy bank?

Explanation

1. 01

   Take the coins as 6x, 3x and 2x.

2. 02

   Value in rupees = $0.5 \times 6x + 1 \times 3x + 2 \times 2x = 3x + 3x + 4x = 10x$.

3. 03

   $10x = 150$ gives $x = 15$, so 50-paise coins = $6 \times 15 = 90$.