Math, asked by Krishna9898, 4 months ago

A certain sum of money doubles itself in 8years. In how many years will it get 5 times

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Answers

Answered by n5233498
4

Answer:

A certain sum of money doubles itself in 8 years. In how much time will it become 4 times of itself at the same rate of interest?

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There are many different ways to solve this problem but I choose this one

(SI in case first)/(SI in case second) = (Time in case first)/(Time in case second)

SI1/SI2 = T1/T2

1/3 = 8/T2

T2 = 24 years

Explanation:-

SI = P*R*T/100

When principal amount P and rate of interest R is same or constant in both cases then simple interest or the ratio of simple interest will be directly proportional to the time or ratio of time

SI1/SI2 = T1/T2

Ratio of Simple interest in both case will be 1:3

In first case the simple interest will be one time of principal amount or initial value because the initial value is becoming double of itself

But in second case the simple interest will be 3 times of principal amount or initial value because the initial value is becoming 4 times of itself

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Let the principle be 100.

Then amount will be 200.

Interest= 100

Time = 8 yrs

R=?

I=PRT/100

100=100*R*8/100

100*100/100*8=R

100/8=R

NOW SUM SHOULD BE 4 TIMES MEANS 400

MEANS INTREST ON 100 IS 300.

I=PRT/100

300=100*100/8*T/100

300*8/100=T

follow the method and try to solve

Answered by 2amummya
1

Step-by-step explanation:

the answer is 20 times once watch all pics

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