Question

If 25% of x is equal to 15% of y
y
as well as 10%. Of z then x:y:z=
​

Answer 1

SOLUTION

GIVEN

25% of x is equal to 15% of y as well as 10%. Of z

TO DETERMINE

x : y : z

EVALUATION

Here it is given that

25% of x is equal to 15% of y as well as 10%. Of z

∴ 25% of x = 15% of y = 10% of z

$\displaystyle \sf{ \frac{25x}{100} = \frac{15y}{100} = \frac{10z}{100} }$

$\displaystyle \sf{ \implies \: 25x = 15y = 10z = k(say)}$

$\displaystyle \sf{ \implies \: x = \frac{k}{25} }$

$\displaystyle \sf{ \implies \: y = \frac{k}{15} }$

$\displaystyle \sf{ \implies \: z = \frac{k}{10} }$

x : y : z

$\displaystyle \sf{ = \frac{k}{25} : \frac{k}{15} : \frac{k}{10} }$

$\displaystyle \sf{ = \frac{1}{25} : \frac{1}{15} : \frac{1}{10} }$

$\displaystyle \sf{ = \frac{150}{25} : \frac{150}{15} : \frac{150}{10} }$

$\displaystyle \sf{ = 6 : 10 : 15 }$

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