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?

Answer :

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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