Question

Ek dhan ka 1/3 bhag 1/4 bhag se 12 adhik h uas dhan ka 3/4 bhag kya hoga

Answer 1

$\huge {\green {\underline {\mathfrak {Solution:}}}}$

Let the money ('Ek dhan') be x

Therefore, $\large {\frac{1}{3} ofx = \frac{x}{3} }$

Now, according to question,

$\large {\frac{x}{3} = \frac{x}{4} + 12}$

=⟩ $\large {\frac{x}{3} =\frac{x + 48}{4} }$ [taken out the LCM of the two terms]

=⟩ $\large { 4x = 3(x + 48) }$ [cross-multiplication]

=⟩ $\large { 4x = 3x + 144) }$

=⟩ $\large { 4x-3x = 144) }$

=⟩ $\large {x = 144) }$

Hence, $\large {\frac{3}{4} ofx}$

= $\large {\frac{3}{4} of 144}$

= $\large {108}$ [Ans]

Hence, 'Ek dhan' ka 3/4 bhag 108 hoga.

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