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Question

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


Solution

Total value of $$50$$ paise coinss is $$0.5\times x$$
Total value of one rupee coins is $$1\times 2x$$
Total value of otwo rupee coins is $$2\times 5x$$
Let $$R$$ be the total value of given coins
$$R=0.5\times x+1\times2x+2\times 5x=25\\ $$
$$=>0.5x+2x+10x=25$$
$$=>12.5x=25\\ $$
$$=>x=\cfrac { 25 }{ 12.5 } \\ $$
$$=>x=2$$

Mathematics

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