How many one-rupee coins,50-paise coins,and 2 | vedclass

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Question

(A) Let the number of one-rupee coins,$50$-paise coins,and $25$-paise coins be $5x, 7x,$ and $12x$ respectively.The value of one-rupee coins $= 5x 	i

Vedclass · Accepted Answer

$50, 70, 120$

Vedclass · Answer

(A) Let the number of one-rupee coins,$50$-paise coins,and $25$-paise coins be $5x, 7x,$ and $12x$ respectively.The value of one-rupee coins $= 5x 	imes 1 = 5x$ rupees.The value of $50$-paise coins $= 7x 	imes 0.5 = 3.5x$ rupees.The value of $25$-paise coins $= 12x 	imes 0.25 = 3x$ rupees.Total value $= 5x + 3.5x + 3x = 11.5x$.Given that the total value is $₹ 115$,we have:$11.5x = 115$$x = \frac{115}{11.5} = 10$.Therefore,the number of coins are:One-rupee coins $= 5 	imes 10 = 50$.$50$-paise coins $= 7 	imes 10 = 70$.$25$-paise coins $= 12 	imes 10 = 120$.

How many one-rupee coins,$50$-paise coins,and $25$-paise coins,whose numbers are in the ratio $5:7:12$,are together worth $₹ 115$?

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