Question

ᴀ ꜱᴜᴍ ᴏꜰ ʀꜱ 280 ɪꜱ ᴛᴏ ʙᴇ ᴜꜱᴇᴅ ᴛᴏ ᴀᴡᴀʀᴅ 4 ᴩʀɪᴢᴇꜱ.ɪꜰ ᴇᴀᴄʜ ᴩʀɪᴄᴇ ᴀꜰᴛᴇʀ ᴛʜᴇ ꜰɪʀꜱᴛ ɪꜱ ʀꜱ 20 ʟᴇꜱꜱ ᴛʜᴀɴ ɪᴛꜱ ᴩʀᴇᴄᴇᴅɪɴɢ ᴩʀɪᴢᴇ,ꜰɪɴᴅ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏꜰ ᴇᴀᴄʜ ᴩʀɪᴄᴇ.​​

Answer 1

hope it is helpful........

Answer 2

Answer:

Let the award prizes

4th position - x

3rd position - x +20

2nd position - (x+20)+20 - x+40

1st position - (x+40)+20 - x+60

AP - x , (x+20) , (x+40) , (x+60)

a = x

an = x+60

d = 20

n = 4

Sn = 280

Sn = n/2 ( a+ an)

280 = 4/2 ( x + (x+60))

280 = 2 (2x +60)

280 = 2 × 2 ( x +30)

280 = 4(x+30)

280/4 = x+30

70 = x + 30

70-30 = x

x= 40

x+20 = 40+20 = 60

x+40 = 40+40 = 80

x+60 = 40+60 = 100

therefore ,

award for 4th position - 40

award for 3rd position - 60

award for 2nd position - 80

award for 1st position - 100