Question

I had Rs.200 with me . I gave Rs x to Anwar , Rs x/2 to Vidhu and I am left with Rs x/2 . The amount I gave to Vidhu is:​

Answer 1

Answer:

Rs. 50

Step-by-step explanation:

A per the provided information in the given question, we have :

• Total amount you had = Rs. 200
• Amount given to Anwar = Rs. x
• Amount given to Vidhu = Rs. x/2
• Remaining amount = Rs. x/2

We've been asked to calculate the amount you gave to Vidhu.

Here, in order to calculate the amount you gave to Vidhu, firstly we need to calculate the value of x.

― According to the question, total amount is Rs. 200 and amount distributed among people is from this money. Thus, the sum of the distributions and the remaining money will yield the total amount. Writing it in the form of an equation,

$\longrightarrow \sf{\quad {200 = x + \dfrac{x}{2} + \dfrac{x}{2} }}$

Taking the L.C.M in R.H.S and performing addition of the terms.

$\longrightarrow \sf{\quad {200 = \dfrac{2x+ x + x}{2} }}$

Performing addition in the numerator of the traction in the R.H.S.

$\longrightarrow \sf{\quad {200 = \dfrac{4x}{2} }}$

Now, transposing 2 from R.H.S to L.H.S. Its arithmetic operator will get changed.

$\longrightarrow \sf{\quad {200 \times 2= 4x }}$

Performing multiplication in LHS.

$\longrightarrow \sf{\quad {400= 4x }}$

Transposing 4 from RHS to LHS. Its arithmetic operator will get changed.

$\longrightarrow \sf{\quad {\cancel{\dfrac{400}{4}} = x }}$

Dividing 400 by 4.

$\longrightarrow \quad\boxed{\sf {100 = x }}$

Now, as we've to find the amount you gave to Vidhu. And, according to the question, you gave Rs. x/2 to Vidhu. So,

$\longrightarrow \sf{\quad { Amount_{(Of \; Vidhu)} = Rs. \; \dfrac{x}{2}}}$

Substitute the value of x.

$\longrightarrow \sf{\quad { Amount_{(Of \; Vidhu)} = Rs. \; \cancel{\dfrac{100}{2}} }}$

Dividing 100 by 2.

$\longrightarrow \quad \underline{\boxed{\textbf{\textsf{ Amount}}_{\textbf{\textsf{ (Of \; Vidhu)}}} = \textbf{\textsf{ Rs. \; 50 }} }}$

$\underline{ \qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$

Therefore, amount you gave to Vidhu is Rs. 50.

Answer 2

$\purple{ \huge \bf \underline{ \underline{Question : }}}$

I had Rs.200 with me . I gave Rs x to Anwar , Rs x/2 to Vidhu and I am left with Rs x/2 . The amount I gave to Vidhu is ?

$\purple{ \huge \bf \underline{ \underline{ Answer: }}}$

$\red{\bf According \: to \: question : }$

$\bf\longmapsto x + \frac{x}{2} + \frac{x}{2} = 200 \: \: \\ \\ \bf\longmapsto \frac{2x + x + x}{2} = 200 \\ \\ \bf\longmapsto4x = 200 \times 2 \: \: \: \: \: \: \: \: \: \\ \\ \bf\longmapsto4x = 400 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\\bf\longmapsto x = \frac{\cancel{400}}{ \cancel4} { \: \: }^{100} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \color{blue} \bf\longmapsto x =100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\color{red} \bf Amount \: I \: give \: to \: Vidhu = Rs \: \frac{x}{2} \\ \color{red} \bf \longrightarrow \frac{100}{2} = Rs \: 50 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$