Question

If 28 percent of a number is 42 find the number

Answer 1

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \: \: SOLUTION\: \: } \mid}}}}}$

$\underline{ \mathfrak{ \: \: Given, \: \: }} \\ \\ \text{28 percent of a number = 42} \\ \\ \underline{ \mathfrak{ \: \: To \: \: find :- \: \: }} \\ \\ \: \: \: \: \text{The number = ?} \\ \\ \underline{ \mathfrak{ \: \: Suppose, \: \: }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \text{The number be \red{ x}}$

$\underline{ \bold{ \: \: A.T.Q. \: \: }} \\ \\ \: \: \: \: \: \: \: \: \: \tt{28\% \: \: of \: x \: \: = 42} \\ \\ \tt{ \implies \: \frac{28}{100} \times x = 42} \\ \\ \tt{\implies \: \frac{28x}{100} = 42} \\ \\ \tt{\implies \: 28x = 4200 }\\ \\ \tt{\implies \: x = \frac{4200}{28} } \\ \\ \: \: \: \: \: \: \: \tt{ \therefore \: \: \red{x = 150}}$

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \: \: VERIFICATION\: \: } \mid}}}}}$

$\sf{28\% \: of \: \: 150 = \frac{28}{100} \times 150} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ = \frac{4200}{100} } \\ \\\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ = 42} \\ \\ \sf{\therefore \: \: 28\% \: \: of \: \: \red{150} \: \: is \: \: equal \: \: to \: \: 42.}$

Answer 2

Answer:

Let us assume the required no. as $(x)$

28% of $(x)$ = 42

✎ $(x)$ × $\frac{28}{100}$ = 42

✎ $(x)$ = 42 × $\frac{100}{28}$

= 150

Verifying-:

28% of 150

= $\frac{28}{100}$ × 150

= $\frac{4200}{100}$

= 42.