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.