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1. There are Rs. 225 consisting of one rupee, 50 paise and 25 paise coins. The ratio of their numbers in that order is 8 : 5 : 3. The number of one - rupee coins is = ?

A. 80

B. 112

C. 160

D. 172

Solution:

Rs. 1 : 50 paise : 25 paise
Number of coins 8x : 5x : 3x

\begin{aligned} Value of coins \\ = \frac{8 x}{1} : \frac{5 x}{2} : \frac{3 x}{4} \\ ∴ 8 x + \frac{5 x}{2} + \frac{3 x}{4} = Rs . 225, \\ Given \frac{32 x + 10 x + 3 x}{4} = 225 \\ \Rightarrow 45 x = 225 \times 4 \\ \Rightarrow x = \frac{225 \times 4}{45} \\ \Rightarrow x = 5 \times 4 = 20 \end{aligned}

∴ Number of one rupees coins
= 20 × 8 = 160

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