Question

If 25% of Half of x is equal to 2.5 times,The value of 30% of One Fourth of y,Then the x is what percentage more less then y ?
A) 33.33% More

B)33.33% Less

C)50% More

D)50% Less​

Answer 1

Step-by-step explanation:

Given :-

25% of Half of x is equal to 2.5 times the value of 30% of One Fourth of y

To find:-

what percentage x is more(or) less than y ?

Solution:-

Given number = X

Half of X = X/2

25% of half of X =

=>25% of X/2

=>(25/100)×(X/2)

=>(1/4)×(X/2)

=>(1×X)/(4×2)

=>X/8

Given another number = Y

One fourth of Y = Y/4

30% of one fourth of Y =

=>30% of (Y/4)

=>(30/100)×(Y/4)

=>(3/10)×(Y/4)

=>3Y/40

2.5 times the value of 30% of one fourth of Y =

=>2.5×(3Y/40)

=>(25/10)×(3Y/40)

=>(5/2)×(3Y/40)

=>(15Y/80)

=>3Y/16

Now given that

25% of Half of x is equal to 2.5 times the value of 30% of One Fourth of y

=>X/8 = 3Y/16

=>X = (3Y/16)×8

=>X = 3Y/2

=>X = 3/2(Y)

X is 3/2 times of Y

=>2X = 3Y

=>X/Y = 3/2

=>X:Y = 3:2

X = 3a and Y = 2a

Let X is A% more than Y

=>X = Y + A% of Y

=>3a = 2a + A% ×2a

=>3a = 2a +2a (A/100)

=> 3a = 2a + a(A/50)

=>3a-2a = a(A/50)

=>a = a (A/50)

=>1 = A/50

=>A = 50×1

Therefore A = 50%

Answer:-

X is 50% more than Y for the given problem