Question

7% of __________ is 4 km 900 meter

Answer 1

Answer:

70km

Step-by-step explanation:

7/100 × X =4900 m

X=4900 ×100/7 =70000 m=70 km

Answer 2

$\mathbb{\bold{\underline{ANSWER}}}$

$\fbox{\textsf{70000m}} \textbf{ OR} \:\fbox{\textsf{70km}}$

$\mathbb{\bold{\underline{EXPLANATION:}}}$

$\colon \to \textbf{First, we will convert 4km 900m into metres :}$

$\star \textsf{ 4km 900m = 4000 + 900 = } \textbf{4900m}$

$\texttt{According to the Question,}$

$\star \textsf{ 7 percent of a number is 4900m}$

  $\bullet \bold{\:Let \:the \:number \:be \: \textsf{'x'} }$

$\texttt{So now, we can say that,}$

$\star \textsf{ 7 percent of 'x' is 4900m}$

$\to \textsf{7 percent means \frac{\textbf{7}}{\textbf{100}} }$

$\to \textsf{7 percent of 'x'means : \frac{7}{100} *x = \frac{\textbf{7x}}{\textbf{100}} }$

$\therefore \frac{\textbf{7x}}{\textbf{100}} \textbf{ = 4900}$

$\colon \to \textbf{To solve the equation : \frac{\textbf{7x}}{\textbf{100}} \textbf{ = 4900} }$   $\bullet \:\texttt{Transposing 100 from L.H.S. to R.H.S, the sign of operation} \\ \texttt{changes from division to multiplication, and we get:}$

$\to \textbf{7x = 4900 \textsf{x} 100} \to \textbf{490000}$

$\bullet \:\texttt{Transposing 7 from L.H.S. to R.H.S, the sign of operation} \\ \texttt{changes from multiplication to division, and we get:}$

$\to \textbf{x = 490000/7}$

$\star \textsf{ \underline{x = 70000}}$

$\therefore \bold{The \:number \:is: \:70000m = 70km}$

$\colon \to \textbf{To verify that 7 percent of 70000m is 4900m}$

$\to \textsf{7 percent of 70000 means : \frac{7}{100} \textsf{ x } 70000}$

$\to \frac{\textsf{490000}}{\textsf{100}} = \textbf{4900m}$

$\star \to \bold{\underline{Hence \:Verified!}}$