Question

if 50 % of P = 25% of Q then P = X % of Q , find X

Answer 1

Answer:

Step-by-step explanation:

given 50% of P=25% of Q

50% of p means=>(50/100)*P

                                    =50P/100

                                     =P/2

25% of Q means =>(25/100)*Q

                             =25Q/100

                             = Q/4

as from the question (P/2)=(Q/4)

                                   P=Q/2

                                =>2P=Q

and also given that P=X% of Q

                                P=(X/100)*Q

                                 P=QX/100

                                 Q/2=QX/100

                                 1/2=X/100

                                  1  = X/50

                                  X=50

Answer 2

Answer:

The value of X is 50  

Step-by-step explanation:

Given as :

50 % of P = 25 % of Q               ...........1

And

P = X % of Q                             ...........2

From eq 1

50 % of P = 25 % of Q.

i.e $\dfrac{50}{100}$ × P = $\dfrac{25}{100}$ × Q

Or, $\dfrac{P}{Q}$ = $\dfrac{\dfrac{25}{100} }{\dfrac{50}{100} }$

Or, $\dfrac{P}{Q}$ = $\dfrac{25\times 100}{50\times 100}$

Or, $\dfrac{P}{Q}$ = $\dfrac{1}{2}$

Or, P = 0.5 Q

In terms of percentage

P = 0.5 × 100 × Q

Or, P = 50 % of Q             .............3

Comparing Eq 2 and eq 3 , we get

i.e ∵  P = X % of Q                            

And   P = 50 % of Q            

So, The value of X = 50 %

Hence, The value of X is 50  Answer