Question:
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.
Answer:
Given total sum fo money = 700
Let the price for 7 students are:
a + 60 , a + 40, a + 20, a, a – 20, a – 40, a – 60 (because each price is 20 less than its preceding price)
Now sum of price = 700
=> a + 60 + a + 40 + a + 20 + a + a – 20 + a – 40 + a – 60 = 700
=> 7a +120 - 120 =700
=> 7a = 700
=> a = 700/7
=> a = 100
The value of each price are:
100 + 60 , 100 + 40, 100 + 20, 100, 100 – 20, 100 – 40, 100 – 60
=> 160, 140, 120, 100, 80, 60, 40
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