Rohan Idikkula saves Rs. 13,200 in 12 years. If he increases savings amount…
2024
Rohan Idikkula saves Rs. 13,200 in 12 years. If he increases savings amount every year by Rs.100 then what will be his savings amount during the first year?
- A.
Rs.550
- B.
Rs.660
- C.
Rs.430
- D.
Rs.578
Attempted by 1 students.
Show answer & explanation
Correct answer: A
Step-by-Step Solution
To find the savings in the first year, we can model this scenario as an arithmetic progression where the total savings represent the sum of the series.
Identify the parameters:
Total sum (Sn) = Rs. 13,200
Number of years (n) = 12
Common difference (d) = Rs. 100
Let the savings in the first year be a.
Use the sum formula for an arithmetic progression:
Sn = (n / 2) * [2a + (n - 1)d]
Substitute the known values: 13,200 = (12 / 2) * [2a + (12 - 1) * 100]
Solve for a:
13,200 = 6 * [2a + 1100]
Divide both sides by 6: 2,200 = 2a + 1100
Subtract 1100 from both sides: 1,100 = 2a
Divide by 2: a = 550