Question

70% of a number when subtracted from 102 gives the number itself. Find 88% of the number.​

Answer 1

Step-by-step explanation:

x=60

and it's 88%will be 52.8

Answer 2

Answer:

We should find the 88% of a number using the given information.

Final Answer:

A number $=60$

88% of 60 $=52.8$    

Step-by-step explanation:

Given:

 Let as consider a number $=x$

               70% of a number $=\frac{70}{100} \times x$    

70% of a number when subtracted from 102 $=102-(\frac{70}{100} \times x)$

• 70% of a number when subtracted from 102 gives the number itself.It can be written as,

                    $102-(\frac{70}{100} \times x)=x$ ----------------(1)

To find:  Find 88% of the number $x$

Solution:​

Step 1:

• Simplify 70 in the numerator and 100 in the denominator.

equation(1)  => $102-(\frac{70}{100} \times x)=x$

                         $102-(\frac{7}{10} \times x)=x$

Step 2:

• Take L.C.M for 1 in the 102's denominator and 10 in the 7's denominator.
• So that L.C.M of 1 and 10 is, 10

                        $\frac{1020}{10} -(\frac{7}{10} \times x)=x$

• Both denominators are same.So the above equation can be written as,

                                    $\frac{1020-7x}{10} =x$

Step 3:

• Now take the cross multiplication.

                      $1020-7x =10x$

                                $10x=1020-7x$

                        $10x+7x=1020$

Step 4:

• Now add and simplify the step 3 equation.Then we get the value of $x$.

                        $10x+7x=1020$  

                        $10x+7x=1020$    

                                $17x=1020$

                                    $x=\frac{1020}{17}$

                    Number $x=60$

Step 5:

• Now we can find the 88% of a number $x=60$.It can be written as,

        ⇒  $=88 \% x$

        ⇒  $=\frac{88}{100} \times x$

        ⇒  $=\frac{88}{100} \times 60$

        ⇒  $=\frac{88}{10} \times 6$

        ⇒  $=88 \times 0.6$   (both 6 and 10 divided by 10)

  $88 \% 60=52.8$

Final Answer:

A number $=60$

88% of 60 $=52.8$