Q. 24.9( 9 Votes )

A man saved Rs 66

Answer :

The total amount saved in 20 years is 66000 hence S20 = 66000


Let the amount saved in first year be ‘a’


Then as he increases 200rs every year then the amount in second year will be ‘a + 200’ then in third year ‘a + 400’ and so on


The sequence will be a, a + 200, a + 400…


The sequence is AP and the common difference is d = 200


There are 20 terms in the sequence as he saved money for 20 years


Using the sum formula for AP


Where n is number of terms a is the first term and d is the common difference


Given that S20 = 66000



66000 = 10(2a + 19 × 200)


6600 = 2a + 3800


6600 – 3800 = 2a


2a = 2800


a = 1400


Hence amount saved in first year is 1400 Rs.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

There are n A.M.sRD Sharma - Mathematics

If x, y, z are inRD Sharma - Mathematics

Insert 7 A.M.s beRD Sharma - Mathematics

The 10th</suRD Sharma - Mathematics

Insert five numbeRD Sharma - Mathematics

The 4th</supRD Sharma - Mathematics

Insert 4 A.M.s beRD Sharma - Mathematics

Show that x2RD Sharma - Mathematics

An A.P. consists RD Sharma - Mathematics

How many terms arRS Aggarwal - Mathematics