Question

3
26. The ratio of two numbers is 5/6: 2/3. By what
percentage is the second number more/less than
the first number?
(A) 20% less
(B) 25% more
(C) 25% less
(D) 20% more​

Answer 1

$\large{\underline{\pmb{\sf{Required\:Solution...}}}}$

It is given that, We need to find by what percentage is the second number more/less than first number.

Let's assume x as common.

⇒ Let the first number be 5/6x and let second number be 2/3x

Understanding the question: The ratio of two number is given to us and we need to find by what percentage is the second number more/less than first number. Firstly divide the difference of second number and first number and divide it by first number and then multiply it with 100.

Now, Let's do the required calculation,

$\sf \rightarrow \dfrac{ \dfrac{2}{3} x- \dfrac{5}{6}x }{ \dfrac{5}{6}x } \times 100$

$\sf \rightarrow \dfrac{ \dfrac{2}{3} x- \dfrac{5}{6}x }{ \dfrac{5}{6} } \times 100$

$\sf \rightarrow \dfrac{ \dfrac{1}{6} }{ \dfrac{5}{6} } \times 100$

$\sf \rightarrow \dfrac{1 }{ 5 } \times 100$

$\sf \rightarrow 20\%$

Henceforth, Second number is 20% less than first number.

$\large{\underline{\pmb{\sf{Additional\: Information...}}}}$

What does percentage mean?

Percentage is directly proportional to 100. It is denoted with "%"

What does ratio mean?

Relation between two numbers is indicated with a sign ":"