Question

X is 5/8 of y .y is 3/4 of z and z is 2/5 of k .what part of k is x?

Answer 1

z=2/5k. y=3/4z=6/20k. x=5/8of y=3/16of k

Answer 2

Given,

x is 5/8 of y

y is 3/4 of z

z is 2/5 of k

To find,

The part of k that is equal to x.

Solution,

We can simply solve this mathematical problem using the following process:

According to the question,

z is 2/5 of k

=> z = 2/5 of k = 2/5 × k = 2k/5

=> z = 2k/5

{Equation-1}

Now,

y is 3/4 of z

=> y = 3/4 of z

=> y = 3/4 × z

=> y = (3/4) × (2k/5)

{according to equation-1}

=> y = 3k/10

{Equation-2}

Now,

x is 5/8 of y

=> x = 5/8 of y

=> x = 5/8 × y

=> x = (5/8) × (3k/10)

{according to equation-2}

=> x = (5×3)/(8×10) × k

=> x = 3k/(8×2)

=> x = 3k/16

=> x = 3/16 × k

=> x is 3/16 of k

Hence, x is equal to 3/16 parts of k.