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Please solve this problem

intermediate(ipc)course (no) (1460 Points)

05 September 2011

1).a person saved Rs 16500 in ten yrs.in each year after the first year he saved Rs.100 more than he did in the preceeding year.the amount of money he saved in the 1st year was?

ans:Rs1200.

2).a person pays Rs 975 by monthly instament each less than the former by Rs.5.the first instalment is Rs.100.the time by which the entire amount will be paid is ?

ans:15 months.

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6 Replies

Shah Tarun (Student) (800 Points)
Replied 05 September 2011

Let the X is a amount saved in year 1, so in year 2 it will be x 100,in year 3 it will be x 200,in year 4 it will be x 300 and so on. .In year 10 it will be x 900. Sum of all there is. . 10x 4500 which is equal to 16500 so X is equal to 1200. . .

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Shah Tarun (Student) (800 Points)
Replied 05 September 2011

intermediate(ipc)course (no) (1460 Points)
Replied 06 September 2011

i don't understand.

Mukesh Kumar Singh (CA-FINAL) (4094 Points)
Replied 07 September 2011

1. Ans.

suppose amount saved in first year is Rs a.

hence amt saved in next years will be a+100, a+200,a+300 and so on.............

and also we have Sum of nth term = n/2{2a+(n-1)d}

Sn= 10/2{2a+(10-1)100}

or, 16500= 5(2a+900)

or,2a+900= 16500/5

or, 2a+900= 3300

or, 2a= 3300-900

or, a= 2400/2 = 1200

hence saving in first year will be Rs 1200.

Mukesh Kumar Singh (CA-FINAL) (4094 Points)
Replied 07 September 2011

2. The answer of your question no 2 will also be same as q.no. 1. we have first installment Rs100, then other installment will be 95, 90, 85..........and so on. as we know that common difference or c.d= difference between any two successive terms D= 90-95= -5 again we have Sn = n/2{2a+(n-1)d} 975=n/2{2x100+(n-1)x-5} after solving this equation you will have two values for n i.e. 15 and 26.

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Mukesh Kumar Singh (CA-FINAL) (4094 Points)
Replied 07 September 2011

i have used "x" sign for multiplicatin in solution of you second querry. and please also send your feedback whether you are satisfied with the answer or not. And for also other querry of QA you can directly send your querry as private messege....... wish you all the best for your exams..........