Question

Rs 180 contain in box consists of Rs1, 50 paise and 25 paisecoins in the ratio 2:3:4. What is the number of 50paise coin?

Answer 1

$\boxed{\boxed{\large\mathbf{54}}}$
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$\underline{\underline{\huge\mathfrak{ANSWER}}}$

₹1 , 50p , 25p are in ratio of $\mathbf{2:3:4}$

Let the common ratio be $\bf{x}$

Then the coins are in ratio $\mathbf{2x, \ 3x}$ and $\mathbf{4x}$

$\underline\text{We know that,}$

Their sum = ₹ 180

$\mathsf{\Longrightarrow 2x + 3x + 4x = 180}$

$\mathsf{\Longrightarrow 10x = 180}$

$\mathsf{\Longrightarrow x = \large{\frac{\cancel{180}}{\cancel{10}}}}$

$\boxed{\mathbf{x = 18}}$

Hence, Number of 50 paise coins

$\mathsf{\Longrightarrow 3x = 3(18) = 54 \ coins}$

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