Question

If x% of y is 100 and y% of z is 200, then find the relation between x and z.
(1) z=
(2) 2z = x
Z = X
M
(3)
z = 2x
z = 3x​

Answer 1

SOLUTION

GIVEN

x% of y is 100 and y% of z is 200

TO CHOOSE THE CORRECT OPTION

The relation between x and z

(1) z= x

(2) 2z = x

(3) z = 2x

(4) z = 3x

EVALUATION

Here it is given that

x% of y is 100

$\displaystyle \sf{ \frac{xy}{100} = 100}$

$\displaystyle \sf{ \implies \: xy =1 00 \times 100} \: \: \: - - - - (1)$

Again y% of z is 200

$\displaystyle \sf{ \frac{yz}{100} = 200 }$

$\displaystyle \sf{ \implies \: yz =200 \times 100} \: \: \: - - - - (2)$

Equation 1 ÷ Equation 2 gives

$\displaystyle \sf{ \frac{xy}{yz} = \frac{100 \times 100}{100 \times 200} }$

$\displaystyle \sf{ \implies\: \frac{x}{z} = \frac{1}{2} }$

$\displaystyle \sf{ \implies\: z = 2x}$

FINAL ANSWER

Hence the required relation (3) z = 2x

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