Question

A certain sum of money amounts to rs. 2,613 in 6 years at 5% per annum si. in how many years will it amount to rs. 3,015 at the same rate?\​

Answer 1

Answer:

interest amt.=2613

n=6

r=5℅

2613=p×6×5/100

p=261300/30

p=8710

now

si=3015

n=?

p=8710

r=5

3015=8710×n×5/100

n=301500/43550

n=6.9320 year....

I hope you'll get it.

Answer 2

Answer:

Let Principal amount be 'P'.

Let N is no. of years of deposit

Let R is rate of interest

We know that, Simple Interest SI = PNR/100

Also, Final amount after maturity (FA) = Principal amount (P) + Simple Interest SI

FA - P = SI

It is given that a principal amount becomes Rs.2613 in 6 years at 5%

Therefore,

2613 - P = P * 6 * 5 /100

P = 2613 - (3P/100)

10P = 26130 - 3P

13P = 26130

Therefore, Principal amount P = Rs.2010

Similarly, when FA = Rs.3015 at 5%

3015-2010 = 2010*N*5/100

1005 = (201 / 2) * N

N = 10

So, in 10 years, the sum of money (Rs.2010) will become Rs.3015 at 5% rate.

Step-by-step explanation:

No. of years in which the same amount becomes Rs. 3015 at same rate

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