Question

18. if 378 coins consists of rs 1, 50 paise and 25 paise. Coins whose values are in the ratio of 13 : 11 : 7. The number of 50 paise coins will be

Answer 1

let we assume all are 25 paise coin

rs 1 has 4 ×0.25

0.50 is 2 × 0.25

therefore ratio will be

$\frac{13}{4} x + \frac{11}{2} x + 7x = 378 \\ \frac{13x + 22x + 28x}{4} = 378 \\ \frac{63x}{4} = 378 \\ 63x = 378 \times 4 \\ x = \frac{378 \times 4}{63} \\ x = 24 \\ rs \: 1 = \frac{13x}{4} = \frac{13 \times 24}{4} = 78 \\ 0.50 \: p = \frac{11x}{2} = \frac{11 \times 24}{2} = 132 \\ .25p = 7x = 7 \times 24 = 168$

number of 50 paise coins is 132