Q. 333.7( 8 Votes )

# 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

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