Question

A sum of Rs.700 is to be used to give seven cash prizes to students of a school of their overall academic performance. If each prize is Rs.20 less than its preceding prize, find the value of each of the prizes.

Answer 1

I believe that my try would help you

Answer 2

$\textbf{\underline{\underline{According\:to\:the\:Question}}}$

★Assumption :-

★Prizes are in AP :-

p + 60 , p + 40 , p + 20 , p , p - 20 , p - 40 , p - 60

★Hence :-

★Sum of Prizes are :-

p + 60 + p + 40 + p + 20 + p + p -20 + p - 40 + p - 60 = 700

7p = 700

${\boxed{\sf\:{p=\dfrac{700}{7}}}}$

p = 100

★Therefore

★The prizes are :-

p + 60 = 100 + 60 = 160

p + 40 = 100 + 40 = 140

p + 20 = 100 + 20 = 120

p = 100

p - 20 = 100 - 20 = 80

p - 40 = 100 - 40 = 60

p - 60 = 100 - 60 = 40

${\boxed{\sf\:{Rs.\;160,\;140,\;120,\;80 ,\;60,\;40}}}$