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Q.

If of of is equal to is equal to of of of of is equal to is equal to of of , and , and of of is equal to is equal to of of , then the value of , then the value of is:

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a

1

b

2

c

3

d

4

answer is C.

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Detailed Solution

Concept- In this case, we must determine the value of the phrase xy+yz+zx. First, we'll utilise the information provided to find the squares of the three integers. Then, using the equations we've created and the algebraic identity for the sum of three numbers, we'll create a quadratic equation in terms of

xy + yz + zx

. Finally, we will employ the quadratic formula to determine the roots of the quadratic equation and, as a result, the value of the expression xy+yz+zx.

x / 100 \times y = 1 / 100 \times z

xy / 100 = z / 100

xy = z - - - - - (1)

The fact that 1% of x is equivalent to y% of z is a given.

y / 100 \times z = 1 / 100 \times x

yz / 100 = x / 100

yz = x - - - - - - (2)

z% of x is equal to 1% of y

z / 100 \times x = 1 / 100 \times y

xz / 100 = y / 100

xz = y - - - - - - (3)

Now, We have to find the value of

xy + yz + xz

The answer is 3 for the above question.
xy = z
Putting y = xz in above equation:

x = plus minus 1
but x should be equal to +1, since it doesn't satisfy the above equations.
So, x + y + z = 3.
Hence, the correct option is 3.

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