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.

Explanation

To solve the problem, we need to find the value of each of the seven cash prizes given that the total amount is Rs 700 and each prize is Rs 20 less than the preceding one.

### Step-by-Step Solution:

1. **Define the Variables:**
Let the first cash prize be denoted as \( A \). The cash prizes form an arithmetic progression (AP) where each subsequent prize is Rs 20 less than the previous one.

2. **Identify the Common Difference:**
...