Question

If first number is 1/12 less than third number and ratio of second and third number is 15:16 then first number is how much percent less than second number.
1) 28/9
2) 2.22%
3) 3.33%
4) 2.45%

Answer 1

Answer:

Please see the attachment

Answer 2

option (2) is correct

The first number is 2.22% less than the second number

Step-by-step explanation:

Let the third number be x

then according to the question

first number = $x- \frac{x}{12}$ = $\frac{12x-x}{12}$ = $\frac{11x}{12}$

let the second number be y

ratio of second and third number is 15:16

i.e

y:x= 15:16

$y= \frac{15x}{16}$

then the difference between the first and second number

= $\frac{15x}{16}-\frac{11x}{12}$

= $\frac{x}{48}$

percentage of the first number less then the second number

= $\frac{\frac{x}{48} }{\frac{15x}{16} }$×100

= $\frac{100x}{48}\times \frac{16}{15x}$

= $\frac{100}{45}$

= 2.22%

hence ,

option (2) is correct

The first number is 2.22% less than the second number

#Learn more:

https://brainly.in/question/1423132