(Q33).A sum of Rs. 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs. 20 less than its preceding prize, find the value of each of the prizes.

Given:

Total/Sum of all cash prizes = Rs. 700

Each prize differs by Rs. 20

Let the prizes (in ascending order) be x, x + 20, x + 40, x + 60, x + 80, x + 100, x + 120

∴ Sum of the prizes = S7 =
n
2
 (a+l)
⇒ =
2
 [ + + ]
⇒ ×
2
 = x +

⇒ = x +

⇒ x = – =

∴ The prizes are , , , , , , .