Question

Fill in the blank. 15% of __________ is 750.
a) 50
b) 500
c) 5000
d) None of these

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Answer 1

Let the number be x

Therefore,
15% of x = 750
15/100 of x = 750
x= 750*(100/15)
x= 5000

Answer 2

Given :

⬤ 15% of ___ is 750 .

To Find :

⬤ The Number .

Solution :

Let :

• The Number be x .

According to the Question :-

15% of x is 750

$\begin{gathered}:\implies\sf{\dfrac{15}{100} \times{x} = 750}\\\end{gathered}$

$\begin{gathered}:\implies\sf{\dfrac{15x}{100}=\dfrac{750}{1}}\\\end{gathered}$

By Cross Multiplication :-

$\begin{gathered}:\implies\sf{15x = 100(750)}\\\end{gathered}$

$\begin{gathered}:\implies\sf{15x = 75000}\\\end{gathered}$

$\begin{gathered}:\implies\sf{x = \dfrac{75000}{15}}\\\end{gathered}$

$\begin{gathered}:\implies\sf{x = 5000}\\\end{gathered}$

Therefore , The Value of x is 5000 .

Option c) 5000 is correct .

Check :

15% of x is 750

15/100 × x = 750

15/10 × 5000 = 750

15 × 50 = 750

750 = 750

Hence Checked .