Question

A sum of 1600 rs is to be used to give 10 cash prizes to students of school for theri overall academic performances. If each prize is rs 20 less than its preceding prize, find the value of each of the prize

Answer 1

Hi ,

Here

It's given that

The price have to be distributed among 10 winners

Each prize have a difference of ₹20

So,

Let the price of 10th position = x
Then 9 th position prize = x +20
And 8th = x+40
7th = x+60
6th = x+80
5 th = x +100
4 th = x + 120
3 rd = x + 140
2 nd= x + 160
1 st = x +180

Therefore,
It's given that
The sum of all prizes is 1600
So,

x + x +20 + x + 40 +x + 60 +x + 80 + x + 100 + x + 120 + x + 140 + x + 160 + x + 180 = 1600

10x + 900 = 1600

10x = 700

x = 70

Therefore the
10th prize =70

9 th = 90

8 th = 110

7 th = 130

6th =150

5th =170

4 th = 190

3rd = 210

2nd = 230

1st = 250

Bye
Hope you liked it
Mark me brainliest

Answer 2

Answer:

Step-by-step explanation: