Question

In the month of April 2020 the number of visitors visited to Mysore palace increased daily by 20.
Ir 12300 visitors visited palace in that month, find the number of visitors visited Ist April 2020.
How many visited on the last day of that month?​

Answer 1

Answer:

Ir? Means

Use t1 t2 t3 formula of A. P

Answer 2

Number of visitor on first day April is 120 and last day of April is 700.

Step-by-step explanation:

1. Let

  Number of visitors in first day of April =a

  Number of visitors in last day of April= l

2. Now it is given that daily visitor increased by 20, its means it is in A.P series.

   So common difference (d)= 20

3. Total number of visitor in April = 12300= Sum of A.P series in April month$\boldsymbol{(S_{n})}$

4. We know formula of sum of A.P series

   $\mathbf{S_{n}=\frac{n}{2}\left ( 2a+(n-1)d \right )}$      ...1)

  Where (n)= 30 = Number of days in April month

5. From equation 1)

   $\mathbf{12300=\frac{30}{2}\left ( 2a+(30-1)20 \right )}$

   After solving we get

   a = 120 =Number of visitors in first day of April

6. From formula of last term of A.P series

   $\mathbf{l=a+(n-1)d}$       ...2)

   $\mathbf{l=120+(30-1)20}$

  After solving

  $\mathbf{l=700=}$ Number of visitors in last day of April