Ratio and Proportion

Concept:The total value of all coins in paise must equal the given amount in paise.Explanation:Let the number of 50 paise, 25 paise, and 10 paise coins be $3x$, $4x$, and $5x$ respectively, as per the ratio $3:4:5$.Value of 50 paise coins: $50 \times 3x = 150x$ paise.Value of 25 paise coins: $25 \times 4x = 100x$ paise.Value of 10 paise coins: $10 \times 5x = 50x$ paise.Total value: $150x + 100x + 50x = 300x$ paise.Convert Rs. 15 to paise: $15 \times 100 = 1500$ paise.Equate: $300x = 1500 \Rightarrow x = 5$.Thus, the numbers are $3(5)=15$, $4(5)=20$, and $5(5)=25$.Answer:15, 20, 25