Question

7% of a number taken away from 11% of the number gives 200. The number is ______.

Answer 1

Answer:  5000

Step-by-step explanation:

Given:   7% of a number taken away from 11% of the number gives 200.

To find: The number

Solution: Let the number be 'x'

   7% of a number (x) taken away from 11% of the number (x) gives 200.

           ⇒   $\frac{11}{100}(x)- \frac{7}{100} (x) = 200$

           ⇒     $\frac{11 x - 7 x}{100} = 200$

          ⇒     $\frac{4x}{100} = 200$  

          ⇒   $4x = 200 ( 100)$

          ⇒   $x = \frac{20000}{4} = 5000$

Hence, the required number is 5000.

Verification:

LHS :  $\frac{11}{100}(5000)- \frac{7}{100} (5000)$

     ⇒   $11 (50) - 7 (50)$

     ⇒   $550 - 350$

     ⇒   $200$ = RHS

Hence proved!

Thanks!

Answer 2

Answer: 5000

Step-by-step explanation:

Given: 7% of a number taken away from 11% of the number gives 200.

To find: The number

Solution: Let the number be 'x' 7% of a number (x) taken away from 11% of the number (x) gives 200.

⇒

$\frac{11}{100}(x)- \frac{7}{100} (x) = 200$

$\frac{11 x - 7 x}{100} = 200$

$\frac{4x}{100} = 200$

⇒ 4x = 200 ( 100)4x=200(100)

⇒ 4x = 200 ( 100)4x=200(100)

⇒ x = $\frac{20000}{4} = 5000x=$

Hence, the required number is 5000.

Verification:

LHS :

$\frac{11}{100}(5000)- \frac{7}{100} (5000)$

⇒

\end{gathered} 11(50)−7(50) [/tex]

⇒ 550 - 350550−350

⇒ 550 - 350550−350 ⇒ 200200 = RHS

⇒ 550 - 350550−350 ⇒ 200200 = RHSHence proved!!!!!