Question

12% of a number exeed 8% of the number by 20, the number is​

Answer 1

Step-by-step explanation:

Let the required number be x

12% of a number = \dfrac{x × 12}{100}

100

x×12

8% of the same number = \dfrac{x × 8}{100}

100

x×8

12% of a number exceed 8% percent of the number by 20.

According to the question,

\dfrac{x × 12}{100}

100

x×12

= \dfrac{x × 8}{100}

100

x×8

+ 20

➾ \dfrac{12x}{100}

100

12x

= \dfrac{8x}{100}

100

8x

+ 20

➾ \dfrac{12x}{100}

100

12x

- \dfrac{8x}{100}

100

8x

= 20

➾ \dfrac{4x}{100}

100

4x

= 20

➾ 4x = 20 × 100

➾ 4x = 2000

➾ x = \dfrac{2000}{4}

4

2000

➾ x = 500

∴ The number is 500