Question

Three prizes are to be distributed in a quiz contest.
The value of the second frize is three - fifth the value
of the first prize and the value of the third prize
is two-third that of the second prize. If the
total value of the the third prizes is & 14,400
then the value of each prize starting from first
to third respectively is?​

Answer 1

Step-by-step explanation:

Let value of First prize be x

Then,

value of Second prize is (3/5)x

and value of Third prize is ( 2/3 )(3/5)x

Now

since it is given in the question that value of Third prize is 14400

Therefore,

$(\frac{2}{3} )( \frac{3}{5} )x \: = 14400$

$( \frac{6}{15} )x \: = 14400$

$x \: = 14400 \times \frac{15}{6}$

$x \: = 36000$

Thus, the value of First prize is 36000

the value of Second prize is (3/5)x

= (3/5)(36000)

= 21600

the value of Third prize is (2/3) (3/5)x

= (2/3)(3/5)(36000)

= 14400

Hence,

the value of First, Second and Third prizes are 36000 , 21600, 14400 respectively.