Ratio and Proportion

Concept:Relate the number of coins in the given ratio to their total monetary value in rupees.Explanation:Let the number of one rupee, 50 paise, and 25 paise coins be $3x$, $4x$, and $12x$ respectively.Convert each denomination to rupees: 50 paise = $0.50$ rupee, 25 paise = $0.25$ rupee.Total value = $3x(1) + 4x(0.50) + 12x(0.25) = 3x + 2x + 3x = 8x$ rupees.Given total value = $600$ rupees, so $8x = 600$ ⇒ $x = 75$.Number of 25 paise coins = $12x = 12 \times 75 = 900$.Answer:900