Saved Bookmarks
| 1. |
A sum of Rs.1890 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs.50 less than its preceding prize, find the value of each of the prizes.. |
|
Answer» Let 1st prize be Rs. x. The series in AP is x, x-50, x-100, x -150, ...... Here, a = x, d = -50, sn = 1890, n = 7 7/2 [2x + 6 x (-50)] = 1890 4/2 [2x - 300] = 1890 2x - 300 = 1890 x 2/7 2x = 540 + 300 x = 840/2 x = 420 The prizes is Rs.420, Rs.370, Rs.320, Rs.270, Rs.220, Rs.170, Rs.120. |
|