Question

032 IF 10/3 :x :: 5/2 : 5/4, then find the value of x
Ops: A3/5
B. 2/5
C 1/5
D. 5/3​

Answer 1

Answer:

hsuswiw

1629262

_+318-81

Answer 2

Concept: This is the question of 'Ratio & Proportion'. The ratio is denoted by ':' and the proportion is denoted by '::'. Proportion describes the equality of two given ratios. If  $\frac{a}{b}$ & $\frac{c}{d}$ are two ratios are in proportion then the given equation for the proportion

      $a:b::c:d$      or      b×c = a×d

Given:  

$\frac{10}{3}:x::\frac{5}{2}:\frac{5}{4}$

To find: The value of 'x'

Solution: We will use the given proportion formula to find the 'x'  

                  b×c = a×d

here $a=\frac{10}{3}$, $b= x$, $c= \frac{5}{2}$, $d=\frac{5}{4}$

Now put all values in the formula

    b × c = a × d

⇒  $x$ × $\frac{5}{2}$ $= \frac{10}{3}$ × $\frac{5}{4}$

⇒ $x$ × $\frac{5}{2}$ $=$ $\frac{50}{12}$

⇒ $x = \frac{\frac{50}{12} }{\frac{5}{2} }$

⇒ $x= \frac{50}{12}$ × $\frac{2}{5}$

⇒ $x = \frac{5}{3}$

Hence the option D x= $\frac{5}{3}$ is the right answer to the question