NCERT Solutions for Class 10 Maths Chapter 5

Important NCERT Questions

Arithmetic Progression

NCERT Books for Session 2022-2023

CBSE Board and UP Board Others state Board

EXERCISE 5.3

Page No:113

Questions No:16

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

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Let the amount for first prize = Rs x

number of prizes = 7

Total prize amount = Rs 700

Therefore, the series of 7 prizes are as follows:

(x) + (x – 20) + (x – 40) + (x – 60) + (x – 80) + (x – 100) + (x – 120) = 700

⇒ 7x – 420 = 700

⇒ 7x = 1120

⇒ x = 1120/7 = 160

Hence, the seven prizes are Rs 160, Rs 140, Rs 120, Rs 100, Rs 80, Rs 60 and Rs 40.