A box contains $x 50$ paise coins, $2 x$ one-rupee coins and $5 x$ two-rupee coins. If the total value of these coins is Rs. $25$ what is the value of $x$ ?

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Solution

Total value of $50$ paise coinss is $0.5 \times x$
Total value of one rupee coins is $1 \times 2 x$
Total value of otwo rupee coins is $2 \times 5 x$
Let $R$ be the total value of given coins
$R = 0.5 \times x + 1 \times 2 x + 2 \times 5 x = 25$
$=> 0.5 x + 2 x + 10 x = 25$
$=> 12.5 x = 25$
$=> x = \frac{25}{12.5}$
$=> x = 2$

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