Question

A sum of Rupees 1400 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rupees 40 less than the preceding price, find the values of each prizes.

Please solve this. ✌️✌️

Answer 1

let first be x,second=x-40,third=x-80,fourth=x-120,fifth=x.160,sixth=x-200,seventh=x-240
total amount spent for prizes=1400=x+x-40+x-80+x-120+x-160+x-200+x-240
7x-840=1400
7x=2240
x=₹320----first,second ₹280,third ₹240,fourth ₹200,fifty160,sixth ₹120&seventh ₹80.

Answer 2

1st prize = x
2nd prize=x+40
3rd prize =x+80
4th prize =x+120
5th prize =x+160
6th prize =x+200
7th prize =x+240

sum of total prize=x+x+40+x+80+x+120+x+160+x+200+x+240=1400
7x+840=1400
7x=1400-840
x=560/7
x=80
then
80,120,160,200,240,280,320