Arti has coins of the denomination of Rs. 1,5 | vedclass

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Question

(A) Let the number of $Rs. 1$,$50 	ext{ paise}$,and $25 	ext{ paise}$ coins be $12x$,$10x$,and $7x$ respectively.The value of $12x$ coins of $Rs. 1$

Vedclass · Accepted Answer

$28$

Vedclass · Answer

(A) Let the number of $Rs. 1$,$50 	ext{ paise}$,and $25 	ext{ paise}$ coins be $12x$,$10x$,and $7x$ respectively.The value of $12x$ coins of $Rs. 1$ is $12x 	imes 1 = 12x$ rupees.The value of $10x$ coins of $50 	ext{ paise}$ is $10x 	imes 0.5 = 5x$ rupees.The value of $7x$ coins of $25 	ext{ paise}$ is $7x 	imes 0.25 = 1.75x$ rupees.According to the question,the total value is $Rs. 75$:$12x + 5x + 1.75x = 75$$18.75x = 75$$x = \frac{75}{18.75} = 4$The number of $25 	ext{ paise}$ coins is $7x = 7 	imes 4 = 28$.

Arti has coins of the denomination of $Rs. 1$,$50 \text{ paise}$,and $25 \text{ paise}$ in the ratio of $12: 10: 7$. The total worth of the coins she has is $Rs. 75$. Find the number of $25 \text{ paise}$ coins.

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