Aman saved Rs. 16500 in ten years. In each year after the first he saved Rs.100 more than he did in the preceding year. How much did he save in the first year?
Given,
Man saved in 10 years, S10= 16500
In each year after first he saved, d = 100
We know, sum of n terms, Sn= [2a + (n – 1) d]
For 10 years
S10= [2a + (10 – 1) 100]
16500 = 5 [2a + 9 * 100]
= 2a + 900
3300 = 2a + 900
2a = 3300 – 900
2a = 2400
a = 1200
Hence, Rs. 1200 saved by him in first year